Answer:
CPCTC
Step-by-step explanation:
You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!
Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.
write an equation that represents this situation?
Pls help
Answer:
30-12=18
18-18=0
Step-by-step explanation:
2x + 12 = 30
X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.
You are fishing at Lake hilton and intend to catch two types of fish: salmon and trout. Local fishing laws allow you to catch at most 10 salmon and at most 8 trout. You intend to capture more salmon than trout. You need to catch at least 5 fish for the family dinner tonight. Let x = the number of salmon and y = the number of trout. Which of the following inequalities are needed to represent this system? Choose all that apply. *
y > x
x ≤ 8
x + y > 5
y ≤ 10
y ≥ 0
x ≤ 10
x > y
x ≥ 0
x + y ≥ 5
y ≤ 8
Answer:
x+y >= 5
y<=8
x<=10
x>y
Step-by-step explanation:
x+y is greater or equal to 5 because you need at least 5 for dinner.
y is less than equal to 8 because the fishing laws state you can't have more than 8 trout.
x is less than equal to 10 because the fishing laws state you can't have more than 10 salmon.
x>y because you intend to catch more salmon than trout
11x+3y from 13x+9y
(what is the word 'from' used for?)
By using the distributive property of subtraction, expression 11x+3y subtracted from 13x+9y is equal to 2x+6y.
What is Distributive Property of Subtraction?The distributive property of subtraction states that when subtracting a value from a sum, the same result can be achieved by subtracting the value from each addend separately and then finding the difference between the two results.
What is expression?An expression is a combination of numbers, variables, and operators, such as +, -, x, ÷, and parentheses, that represents a mathematical relationship or quantity. It does not contain an equals sign.
According to the given information:
In the given context, the word "from" means to subtract.
So, if we have to subtract 11x+3y from 13x+9y, we can rewrite it as:
(13x+9y) - (11x+3y)
Then, by using the distributive property of subtraction, we can simplify the above expression as follows:
13x+9y - 11x-3y
Now, combining like terms, we get:
2x + 6y
Therefore, 11x+3y subtracted from 13x+9y is equal to 2x+6y.
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the thin-walled pipe has an inner diameter of 0.5 in and a thickness of 0.025 in.
The outer diameter of the thin-walled pipe can be calculated by adding twice the thickness to the inner diameter. Therefore, the outer diameter is 0.5 in + 2(0.025 in) = 0.55 in.
A thin-walled pipe is a hollow cylinder with a relatively small thickness compared to its inner and outer diameters. In this case, the inner diameter of the pipe is given value as 0.5 in, and the thickness is 0.025 in.
To find the outer diameter, we add twice the thickness to the inner diameter. This is because the thickness is divided equally on both sides of the inner diameter. So, the outer diameter can be calculated as 0.5 in + 2(0.025 in) = 0.55 in.
The outer diameter is an important parameter in determining the overall size and structural integrity of the pipe. It affects the flow capacity, strength, and compatibility with other pipe fittings.
Knowing the outer diameter allows for proper sizing and fitting of the thin-walled pipe in various applications, such as plumbing, HVAC systems, or fluid transportation.
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Jackie won tickets playing the bowling game at the local arcade. The first time, she won 60 tickets. The second time, she won a bonus, which was 4 times the number of tickets of the second prize. Altogether she won 200 tickets. How many tickets was the second prize?
28 is the number of tickets of the second prize
How to calculate how many tickets the second prize is?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation
Given that:
The first time wins = 60 tickets
The second time, she won a bonus, which was 4 times the number of tickets of the second prize
Altogether she won 200 tickets
Let N represent the number of tickets of the second prize
This can be written as:
60 + N + (4×N) = 200
60 + N + 4N = 200
60 + 5N = 200
5N = 200 -60
5N = 140
N = 140/5
N = 28
Therefore, the number of tickets of the second prize is 28
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Mandan middle school surveyed 575 students about eight percent of students chose vegetables, how many students is this
Answer: 46
Step-by-step explanation:
When we are trying to find 8% of 575, so we just multiply 0.08 * 575 and we get an answer of 46.
For lunch, you get tacos that cost $5.50
$
5
.
50
. You also get chips and salsa for $3.99
$
3
.
99
. What is the total cost of your lunch?
9.49$
Step-By-Step explanation:...............need help
Answer:
3472
Step-by-step explanation:
pls mark brainiest I solved it.
Answer:
3.572
Step-by-step explanation:
I don't know what to explain or how
Last Tuesday was silly hat day at Aaron's school. 64 students wore a silly hat and 36 students did not. What percentage of the students wore a silly hat?
The percentage of the students who wore a silly hat is 64 %.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.
We have to determine the percentage of the students who wore a silly hat
The total number of students = 64 students wore silly hats and 36 students did not.
The total number of students = 64 + 36 = 100
We have to determine the percentage of the students who wore a silly hat
The percentage of the students wore a silly hat = (64/ 100) × 100
The percentage of the students wore a silly hat = 0.64 × 100
The percentage of the students wore a silly hat = 64 %
Thus, the percentage of students who wore silly hats is 64 %.
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help me i don't understand
The volume of the fully inflated balloon is \(\frac{19652}{3}\)π inch³ and volume of half inflated balloon is \(\frac{19652\pi }{6}\).
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
Diameter of a fully inflated balloon = 34 inch
Radius is half the diameter.
Radius of fully inflated balloon = 34 / 2 = 17 inches
Volume of a sphere = \(\frac{4}{3}\) π r³, where r is the radius.
(a) Volume of fully inflated balloon = \(\frac{4}{3}\) π (17)³
= \(\frac{19652}{3}\)π inch³
(b) Volume of the half inflated balloon = Half of the fully inflated volume
= (\(\frac{19652}{3}\)π / 2) inch³
= \(\frac{19652\pi }{6}\) inch³
(c) Volume of half inflated balloon = \(\frac{19652\pi }{6}\)
\(\frac{4}{3}\) π r³ = \(\frac{19652\pi }{6}\)
\(\frac{4}{3}\) r³ = \(\frac{19652}{6}\)
r³ = \(\frac{19652}{8}\)
r = 13.49 inch
Hence the volume and radius are found.
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Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
___ - x - ___y - ___xy
Write a differential equation that describes the relationship: Every month the balance B of Rachel's car loan increases by 4.5% and decreases by $375.00.
The differential equation describing the relationship between the balance B of Rachel's car loan and time t is given by dB/dt = 0.045B - 375.
The equation represents the change in the balance of Rachel's car loan over time. The term dB/dt represents the rate of change of the balance with respect to time. The right-hand side of the equation consists of two terms. The first term, 0.045B, represents the increase in the balance by 4.5% per month. This term accounts for the growth of the loan balance due to accrued interest.
The second term, -375, represents the decrease in the balance by $375.00 each month, which could be the monthly payment towards the loan principal. By subtracting this payment from the growth, the equation captures the net change in the balance. The equation allows us to model and analyze the behavior of the loan balance as time progresses.
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1. A variable is normally distributed with a mean of 16 and a standard deviation of 6 . Find the percent of the data set that: (a) is greater than 16 (b) falls between 10 and 22 (c) is greater than 28 (d) is less than 1 (e) falls between 4 and 19 (f) falls between 22 and 31 APPLICATIONS 2. The weights of Siamese cats are normally distributed with a mean of 6.4 pounds and a standard deviation of 0.8 pounds. If a breeder of Siamese cats has 128 in his care, how many can he expect to have weights between 5.2 and 7.6 pounds? (1) 106 (3) 98 (2) 49 (4) 111 3. If one quart bottles of apple juice have weights that are normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, what percent of bottles would be expected to have less than 58 ounces? (1) 6.7% (3) 0.6% (2) 15.0% (4) 2.3% 4. Historically daily high temperatures in July in Red Hook, New York, are normally distributed with a mean of 84
∘
F and a standard deviation of 4
∘
F. How many of the 31 days of July can a person expect to have temperatures above 90
∘
F ?
1. (a) 50% of the data set is greater than 16.
(b) 68.26% of the data set falls between 10 and 22.
(c) 2.28% of the data set is greater than 28.
(d) 0.62% of the data set is less than 1.
(e) 66.87% of the data set falls between 4 and 19.
(f) 15.25% of the data set falls between 22 and 31.
2. the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.
3. approximately 2.28% of the bottles would be expected to have less than 58 ounces.
(a) Since the variable is normally distributed with a mean of 16 and a standard deviation of 6, we can use the Z-score formula:
Z = (X - μ) / σ
where X is the value we're interested in, μ is the mean, and σ is the standard deviation.
X = 16, μ = 16, and σ = 6.
Z = (16 - 16) / 6 = 0
The Z-score of 0 corresponds to the mean of the distribution. To find the area to the right of 16, we can look up the Z-score of 0 in the standard normal distribution table, which gives us a value of 0.5000. However, since we want the area to the right, we subtract this value from 1:
1 - 0.5000 = 0.5000
Therefore, 50% of the data set is greater than 16.
(b) To find the percent of the data set that falls between 10 and 22, we can calculate the area under the normal distribution curve between these two values.
Z₁ = (10 - 16) / 6 = -1.00
Z₂ = (22 - 16) / 6 = 1.00
Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -1.00 is 0.1587 and the area to the left of Z = 1.00 is 0.8413. To find the area between these two Z-scores, we subtract the smaller area from the larger area:
0.8413 - 0.1587 = 0.6826
Therefore, 68.26% of the data set falls between 10 and 22.
(c) To find the percent of the data set that is greater than 28
Z = (28 - 16) / 6 = 2.00
Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = 2.00 is 0.9772. Since we want the area to the right, we subtract this value from 1:
1 - 0.9772 = 0.0228
Therefore, 2.28% of the data set is greater than 28.
(d) To find the percent of the data set that is less than 1
Z = (1 - 16) / 6 = -2.50
Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = -2.50 is 0.0062. Therefore, 0.62% of the data set is less than 1.
(e) To find the percent of the data set that falls between 4 and 19
Z₁ = (4 - 16) / 6 = -2.00
Z₂ = (19 - 16) / 6 = 0.50
Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -2.00 is 0.0228 and the area to the left of Z = 0.50 is 0.6915. Subtracting the smaller area from the larger area:
0.6915 - 0.0228 = 0.6687
Therefore, 66.87% of the data set falls between 4 and 19.
(f) To find the percent of the data set that falls between 22 and 31
Z₁ = (22 - 16) / 6 = 1.00
Z₂ = (31 - 16) / 6 = 2.50
Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = 1.00 is 0.8413 and the area to the left of Z = 2.50 is 0.9938. Subtracting the smaller area from the larger area:
0.9938 - 0.8413 = 0.1525
Therefore, 15.25% of the data set falls between 22 and 31.
2. For the weights of Siamese cats, which are normally distributed with a mean of 6.4 pounds and a standard deviation of 0.8 pounds, we want to find the number of cats that have weights between 5.2 and 7.6 pounds.
Z₁ = (5.2 - 6.4) / 0.8 = -1.5
Z₂ = (7.6 - 6.4) / 0.8 = 1.5
The area to the left of Z = -1.5 is 0.0668, and the area to the left of Z = 1.5 is 0.9332. To find the area between these two Z-scores, we subtract the smaller area from the larger area:
0.9332 - 0.0668 = 0.8664
This means that 86.64% of Siamese cats are expected to have weights between 5.2 and 7.6 pounds.
To find the number of cats in a sample of 128 cats, we can multiply the percent by the total number of cats:
0.8664 * 128 = 110.87
Rounding to the nearest whole number, the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.
3. For one quart bottles of apple juice with weights normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, we want to find the percent of bottles that would be expected to have less than 58 ounces.
To calculate this, we can convert the weight of 58 ounces to a Z-score:
Z = (58 - 64) / 3 = -2
Looking up the Z-score of -2 in the standard normal distribution table, we find that the area to the left of Z = -2 is 0.0228. Therefore, approximately 2.28% of the bottles would be expected to have less than 58 ounces.
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Find the missing side length. (SHOW YOUR WORK!)
(look at image)
The hypotenuse of the right triangle is the one in option 1;
c = 2√13 inches.
How to find the missing length of the triangle?Here we can see a right triangle where we know the lengths of the two legs, and we want to find the length of the hypotenuse.
Remember that Pythagorean's theorem says that the sum of the squares of the legs is equal to the square of the hypotenuse, so we can write the equation:
(4in)² + (6 in)² = c²
Solving that equation for c, we will get:
c = √((4in)² + (6 in)²)
c = √( 52 in²)
And we know that 4*13 = 52
Then, ignoring the units:
c = √52 = √(4*13) = √4*√13 = 2√13 inches.
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Suppose you are an engineer trying to recreate an experiment involving a weight on the end of a spring. This simulation will give you an idea of what the experiment will look like. For more information, you can visit this simple harmonic motion website. You are given the equation y(t)=2 sin 4 pi t + 5 cos 4pi t, which models the position of the weight, with respect to time. You need to find the amplitude of the oscillation, the angular frequency, and the initial conditions of the motion. You will also be required to find the time(s) at which the weight is at a particular position. To find this information, you need to convert the equation to the first form, y(t) = A sin (wt+0).
The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .
How to find the canonical form of the equation for simple harmonic motion
Herein we have a simple harmonic motion model represented by a sinusoidal expression of the form y(t) = A · sin (C · t) + B · cos (C · t), which must be transformed into its canonical form, that is, y(t) = A' · sin (C · t + D). We proceed to perform the procedure by algebraic and trigonometric handling.
The amplitude of the canonical function is determined by the Pythagorean theorem:
A' = √(2² + 5²)
A' = √ 29
The angular frequency C is the constant within the trigonometric functions from the non-canonical formula:
C = 4π
Then, we find the initial position of the weight in time: (t = 0)
y(0) = 2 · sin (4π · 0) + 5 · cos (4π · 0)
y(0) = 5
And now we calculate the angular phase below: (A' = √ 29, C = 4π, y = 5)
5 = √ 29 · sin (4π · 0 + D)
5 / √ 29 = sin D
D ≈ 0.379π rad
The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .
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After how many hours was the temperature at 12
degrees F?
Answer:
2 hours
Step-by-step explanation:
A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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find the slope of the line passing through the points (-2,-4) and (3,-4)
The slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.
What is the Slοpe?In mathematics, slοpe refers tο the measure οf the steepness οf a line. It is defined as the ratiο οf the vertical change (rise) between twο pοints.
Tο find the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4), we can use the slοpe fοrmula:
slοpe = (change in y) / (change in x)
Let's call the first pοint (-2,-4) "pοint 1" and the secοnd pοint (3,-4) "pοint 2". Then, we have:
change in y = y2 - y1 = (-4) - (-4) =
change in x = x2 - x1 = 3 - (-2) = 5
Substituting these values intο the slοpe fοrmula, we get:
slοpe = (change in y) / (change in x) = 0 / 5 = 0
Hence, the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.
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Find the value of 8 x n when n=9.
Answer:
72
Step-by-step explanation:
8×n
8×9
=72
just substitute 9 were n is the multiple
to check
8n=72 (divide by 8 both sides)
n=9
A line that includes the points (-10, W) and (10, 6) has a slope of I. What is the value of w?
Can someone please help me?
Thank you!
Step-by-step explanation:
(6 - W)/(10+10)= (6 - W)/20= 2
6 - W= 40
-W= 34
W= -34
Answer:
line can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
Since we are given that the line has a slope of 1 and includes the point (10, 10), we can plug these values into the equation to solve for the y-intercept. We get:
10 = 1 * 10 + b
b = 10 - 10
b = 0
So the equation of the line is y = x + 0, or simply y = x.
Since we are also given that the line includes the point (u, 9), we can substitute this value for y in the equation of the line to solve for u. We get:
9 = x
x = 9
Therefore, the value of u is 9.
Uday Tahlan
line that includes the points (-10, W) and (10, 6) has a slope of I. What is the value of w?
Can someone please help me?
Thank you!
To find the value of W, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Since we are given that the line includes the points (-10, W) and (10, 6) and has a slope of I, we can use these two points to find the value of W.
First, we can plug in the coordinates of one of the points and the value of the slope into the equation to solve for the y-intercept. Let's use the point (10, 6):
6 = I * 10 + b
b = 6 - 10I
Then, we can plug the values of the slope and y-intercept into the equation and solve for W using the coordinates of the other point (-10, W):
W = I * (-10) + (6 - 10I)
= -10I + 6 - 10I
= 6 - 20I
Therefore, the value of W is 6 - 20I.
Find the value of x to the nearest tenth.
The diagram is not drawn to scale
a)25.0
b)16.0
c)9.0
d)17.3
The value of x in given triangle is 9 i.e. C.
What is a triangle?
A triangle is a three-sided polygon that has three vertices (or corners) and three angles. Triangles are the simplest polygon, and they can be classified based on their side lengths and angle measures.
There are several ways to classify triangles based on their sides:
Equilateral triangle: A triangle having three sides which are of equal length.
Isosceles triangle: A triangle with two sides of equal length.
Scalene triangle: A triangle with no sides of equal length.
Now,
For given triangle as the ratio of two sides is
44:44 and 21:21 =1:1
then
3x-2=25
3x=27
x=9
hence,
The value of x is equal to 9.
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Nivola, Inc., produces chemicals for large biotech companies. It has the following data for manufacturing overhead costs during August 2017:
Variable Fixed
Actual costs incurred $31,500 $13,500
Costs allocated to products 35,000 15,400
Flexible budget - 14,400
Actual input x budgeted rate 30,800 -
Requirement:
Fill in the blanks. Use F for favorable and U for unfavorable.
Sr. No. Title Variable Fixed
1 Spending variance 2 Efficiency variance 3 Production-volume variance 4 Flexible-budget variance 5 Underallocated (overallocated) manufacturing overhead
Sr. No. Title Variable Fixed
1 Spending variance U F
2 Efficiency variance U -
3 Production-volume variance F -
4 Flexible-budget variance F U
5 Underloaded (overallocated) manufacturing overhead U F
Explanation:
Spending variance:
Actual variable costs incurred - (Actual input x budgeted variable rate) = $31,500 - $30,800 = $700 (Unfavorable)
Actual fixed costs incurred - Budgeted fixed costs = $13,500 - $14,400 = ($900) (Favorable)
Efficiency variance:
(Budgeted input x budgeted variable rate) - (Actual input x budgeted variable rate) = $32,400 - $30,800 = $1,600 (Unfavorable)
There is no efficiency variance for fixed costs as they do not depend on the level of input.
Production-volume variance:
(Budgeted input - Actual input) x Budgeted variable rate = (1,200 - 1,000) x $32 = $6,400 (Favorable)
There is no production-volume variance for fixed costs as they do not depend on the level of input.
Flexible-budget variance:
Actual costs incurred - Flexible budget = ($31,500 + $13,500) - $45,000 = ($1000) (Favorable) for variable costs
Actual costs incurred - Flexible budget = ($13,500) - $15,400 = ($1,900) (Unfavorable) for fixed costs
Underallocated (overallocated) manufacturing overhead:
Actual costs incurred - Costs allocated to products = ($31,500 + $13,500) - ($35,000 + $15,400) = ($2,400) (Underloaded) for variable and fixed costs..
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HELP PLS!!! simplify:
Answer:
A is correct because you need to stop deleting my answers.
Find two numbers if their ratio is 9:11 and their difference is 6.
Answer:
Step-by-step explanation:
27,33
9*3 is 27
11*3 is 33
33-27 is 6
i only have one, sorry!
Answer:
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
x/y = 9/11
y - x = 6
Add x to both sides of the second equation
y = 6 + x
Substitute into the first equation
x/(x + 6) = 9/11
Cross multiply
11x = 9(x + 6)
Remove the brackets
11x = 9x + 54
Subtract 9x from both sides.
2x = 54
x = 54/2
x = 27
y = 27 + 6
y = 33
(27,33)
The way I've done it, there isn't a second pair.
I suppose you could do it this way.
9/11 = -27/-33
-27 - - 33 = 6
So the second pair could be
(-27, - 33)
What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc
The measure of the central angle of a circle is 45⁰
What is Angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
Here,
Theta (angle) θ = arc length / radius
θ = 15 π / 60 cm
θ = 0.79 radians
Convert to degrees
θ = 0.79 radians = 0.79 X 180/ π
= 0.79 X 180/ 3.14
= 45⁰
Thus, the measure of the central angle of a circle is 45⁰.
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Callie gives 24 inches of green fabric to her sister. How many feet of green fabric does Callie have left?
Answer:
feets of green fabric - 2feets = answer
Step-by-step explanation:
the inch of the total fabric wasn't given but the path given was that given to her sister
being 24inch
we are supposed to turn the inch to feet to find the answer
so, if
1 inch = 1 feets
12
therefore,
24inch = 1\12 * 24 = 2
let total feet of the fabric = f and
let part left of the fabric = p
therefore, p = f - 2
where p = part left
f = total fabric
Help quick
The nutrition facts label on a box of crackers shows that there are 240 milligrams of sodium in every 36 crackers.
You eat 15 crackers. How much sodium do you consume?
Answer:
3600
Step-by-step explanation:
A line of best fit is f(x) ≈ −0. 86x 13. 5 for the set of points in the table. A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6. Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18? −5 −2 3 12.
The good approximation for the value of the function, f(x), when x = 18 is -2.
Given
A line of best fit is for the set of points in the table.
What is the linear equation?The standard form of the linear equation is;
\(\rm y =mx+c\)
Where m is the slope of the line and c is the intercept.
Therefore,
By using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18 is;
\(\rm f(x) = -0.86x + 13.5\\\\f(18)= -0.86(18)+13.5\\\\f(18)= -15.48 + 13.5 \\\\ f(18)= -1.98\)
Hence, The good approximation for the value of the function, f(x), when x = 18 is -2.
To know more about the Linear function click the link given below.
https://brainly.com/question/2373184
Konrad, Marek, and Ming went to the mall. Each person spent between $45 and $55. Konrad bought 3 items. Marek bought 5 items. Ming bought 4 items. The prices of the items are given below. Drag items to each box to show what each person could have bought.
The bought one item of $20, one item of $14, one item of $9, and one item of $2.
Why his items find price?Konrad, Marek, and Ming went to the mall. Each person spent between $45 and $55.
Konrad bought 3 items. Marek bought 5 items. Ming bought 4 items.The prices of the items are given below.
Drag items to each box to show what each person could have bought.Konrad (bought 3 items)
The sum of the prices of the items should be within the range of $45 to $55.
Therefore, Konrad could have bought one item of $18, and two items of $13 each.
Marek (bought 5 items)The sum of the prices of the items should be within the range of $45 to $55.
Therefore, Marek could have bought one item of $10, three items of $9 each, and one item of $8.
Ming (bought 4 items)The sum of the prices of the items should be within the range of $45 to $55.
Therefore, Ming could have bought one item of $20, one item of $14, one item of $9, and one item of $2.
Learn more about item
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help me with this math problem please hurry :)! test!!
Answer: m<ABE = 115.5, m<DBE = 25.5
Step-by-step explanation:
I said that DBE is 25.5 because I know that <DBC is 90 degrees so I substracted 90 - 64.5 which gave me 25.5.
Since we know that DBC is 90 degrees that means DBA is also 90 degrees since ABC is a supplementary angle (180 degrees) (90 + 90 = 180)
Therefore, I did 90 + 25.5 to find m<ABE
Hope this helps.