Answer:
71°
Step-by-step explanation:
The sine of an angle is equal to the cosine of its complement. This relation can be used to find the value of x.
SetupUsing the relation between sine and cosine, we have ...
sin(x) = cos(90° -x) = cos(19°)
SolutionEquating the arguments of the cosine function, we have ...
90° -x = 19°
x = 71° . . . . . . . add x-19° to both sides of the equation
The value of x is 71°.
Alternate solutionA calculator can be used to find the value of x:
sin(x) = cos(19°)
Using the inverse sine function to find the angle, given its sine value:
x = arcsin(cos(19°))
x = 71°
What is the slope of the line?
Answer:
=4/1 or 4
Step-by-step explanation:
Remember Rise/Run
also remember this formula:
y2-y1/
x2-x1
Your coordinates are: (-2, 1) (-3, -3)
-3-1/
-3-(-2) = -4/-1 or 4
Two negatives cancel out and make it a positive.
Look at attachment for further information
Any questions or concerns, please ask
Hope this helps (:
how do you do y=-1/2x+7
5x-2y=10
Answer:
Solve with system of equations
answer is (4,5)
You would graph (4,5)
x=4 and y=5
5 12 14 will form a acute?
True or false
No it won't. it's false
cuz proofs here.
(5²)+(12²)= (169)
√(169) = 13
.. so if 13 was the number at 14
it would have been true.
currently the answer is false
Which number on the number line represents the OPPOSITE of -7/2? Select a place on the number line to plot the point.
Answer:
the answer would be 3 1/2
Step-by-step explanation:
if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2. And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.
A bag contains 20 blue blocks, 10 red blocks, 5 white blocks, and 5 green blocks. Find P(red). *
Answer:
Step-by-step explanation:
total =20
red=10
P(red)=10/20=1/2
========================================================
Explanation:
We have 10 red blocks out of 40 total (since 20+10+5+5 = 40)
The chances of picking red are 10/40 = 1/4
1/4 = 0.25 = 25%
Evaluate the expression for =12 , 2+(−6)
please help me it would really help me out and would give u brainly !<33
Answer:
it
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
2x+(x-6). We know that x=12 so we replace x with 12. This means the expression will be 2(12)+(12-6). Now, we just have to simplify. 24+6. 24+6=30 so the answer is 30.
If this helps you please mark as brainliest
.96*.96a town has two fire engines operating indepen- dently. the probability that a specific engine is avail- able when needed is 0.96. (a) what is the probability that neither is available when needed? (b) what is the probability that a fire engine is avail- able when needed?
The probability that a specific fire engine is not available when needed is 0.04 (since the probability of it being available is 0.96).
The question asks for two probabilities related to the availability of fire engines in a town. The first part asks for the probability that neither engine is available when needed, and the second part asks for the probability that a fire engine is available when needed.
To calculate the probability that neither engine is available when needed, we need to use the multiplication rule for independent events. We know that the probability that one specific engine is not available when needed is 0.04 (1 - 0.96). Since the two engines operate independently, the probability that both are not available when needed is the product of their individual probabilities:
P(neither available) = P(engine 1 not available) * P(engine 2 not available)
P(neither available) = 0.04 * 0.04
P(neither available) = 0.0016
Therefore, the probability that neither fire engine is available when needed is 0.0016.
To calculate the probability that a fire engine is available when needed, we can simply use the given probability of 0.96:
P(available) = 0.96
Therefore, the probability that a fire engine is available when needed is 0.96.
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What is the rate of change of y with respect to x?
The rate of change of y with respect to x will be;
⇒ 10
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The table is shown in figure.
Now,
Since, The table is shown in figure.
Let two points from the table as;
(x, y) = (- 8.5 , - 92) (- 6.5, - 72)
We know that;
⇒ Rate of change = dy/dx = (y₂ - y₁) / (x₂ - x₁)
Substitute all the values we get;
⇒ Rate of change = (- 72 - (-92)) / (- 6.5 - (-8.5))
= 20 / 2
= 10
Thus, The rate of change of y with respect to x will be;
⇒ 10
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Ashley is participating in a 5-day cross-country biking challenge. She biked for 48, 58, 68, and 50 miles on the first four days. How many miles does she need to
bike on the last day so that her average (mean) is 54 miles per day?
Answer:
46 miles
Step-by-step explanation:
First, set up an equation:
(48 + 58 + 68 + 50 + x) ÷ 5 = 54
Add the miles in the parentheses:
(48 + 58 + 68 + 50 + x) ÷ 5 = 54
48 + 58 + 68 + 50 = 224
(224 + x) ÷ 5 = 54
Multiply by 5 on each side:
[(224 + x) ÷ 5] × 5 = (54) × 5
(224 + x) = 270
Subtract 224 on each side to isolate x:
(224 + x) - 224 = (270) - 224
x = 46 miles
Hope this helps! I'd appreciate brainliest but if not that's fine!
is there a right triangle in which two side lengths are simple fractions (ratios of integers such as 2/7 or 2/3), and the other side length is an integer?
Yes , there can be a Right triangle with two side lengths as simple fraction and other side length as an integer .
In the question ,
we have to find , whether a Right Triangle can be made by two fractions and an integer length .
yes, we can make a Right Triangle with two lengths as fractions and other length as integer .
let us prove it with the help of an example .
Consider the triplet 7 , 24 , 25 .
let the two fractions side be 7/25 and 24/25 , and the hypotnuse of the right triangle be 1 .
We know that for the Right Triangle
(side1)² + (side2)² = hypotnuse²
(7/25)² + (24/25)² = 1²
49/625 + 576/625 = 1
(49+576) / 625 =1
625/625 = 1
1 = 1
hence ,it is a Right Triangle .
Therefore , Yes , there can be a Right triangle with two side lengths as simple fraction s and other side length as an integer .
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Question 6 of 35
At the beginning of the day, the sum of the stocks in the Dow Jones was
$26,111.98. At the end of the ay, the sum of the stocks in the Dow Jones
was $25,972.44. What was the rate of change of the Dow Jones on this day?
O A. -5,3%
-
O B. 5.3%
O c. -0,53%
O D. 0.53%
Answer: its a
Step-by-step explanation:
i got the test all right trust me :)
hope it helped
Solve √3x+4−2=3
The square root covers the 4 but not the -2
\( \sqrt{3} x + 4 - 2 = 3 \\ = > \sqrt{3} x = 3 - 4 + 2 \\ = > \sqrt{3} x = 1 \\ = > x = \frac{1}{ \sqrt{3} } \\rationalising \: \: \: the \: \: \: denominator \\ = > x = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = > x = \frac{ \sqrt{3} }{3} \\ \)
Answer:\( \frac{ \sqrt{3} }{3} \)
Answer: x = 7
Step-by-step explanation:
\(\sqrt{3x+4}=3+2\)
\(\sqrt{3x+4}=5\)
\(3x+4 =25\)
\(3x = 21\)
\(x=7\)
Please give me a brainliest answer
Which function is graphed?
-8 -6 -4
8
6
4
2
199
-2 0
-2
-4
-6-
-8
O
●
2 4
6
8
The function that is graphed include the following:
A. y = x² + 2, x < 1
-x + 2, x ≥ 1
What is a piecewise-defined function?In Mathematics, a piecewise-defined function can be defined as a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
By critically observing the graph of the piecewise-defined function g shown in the image attached below, we can logically deduce these two (2) functions;
When the domain is x < 1, we have:
y = x² + 2 (it is a quadratic function and < should be used because the endpoint is an open circle).
When the domain is x ≥ 1, we have:
y = -x + 2 (negative slope function and ≥ should be used because the endpoint is a closed circle).
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Simplify. 74 Your answer?
i need help asap!
Answer:
Simplify 74? Did you forget something?
Step-by-step explanation:
It isn't possible to simplify a whole number...
PLEASE HELP ASAPPPPPP
Angle 2 and angle 3 are a pair of same-side interior angles
What are same side interior angles?
Two angles that are on the same side of the transversal and inside (between) the two lines are referred to as same side internal angles.
What does the same side interior angle theorem states?The same side interior angles theorem states that the same side interior angles are additional when two parallel lines are split by a transversal.
So, the pair of angle 2 and angle 3 is same side interior angle.
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How many different pairs of corresponding angles are in the figure?
1/2
4/3
5/6
8/7
Answer:
There is 2 angles in the figure.
Step-by-step explanation:
Give the digits in the hundreds place and the ones place.
8,694
Plz help me
the number 6 is in the hundredths place and 4 is in the ones place
evaluate the following as true or false. because arectangle=l×w=w×l, it doesn't matter if we use the x-easy method or the y-easy method.
The statement is true. Whether we calculate the area of a rectangle using the x-easy method or the y-easy method, the result will be the same.
The x-easy method refers to multiplying the length (l) of the rectangle by its width (w) to find the area, while the y-easy method refers to multiplying the width (w) by the length (l). Since multiplication is commutative, the order of the factors does not affect the product. Therefore, whether we calculate the area using the x-easy method (l × w) or the y-easy method (w × l), the result will be the same.
To illustrate this, let's consider an example. Suppose we have a rectangle with a length of 5 units and a width of 3 units. Using the x-easy method, the area would be 5 × 3 = 15 square units. Using the y-easy method, the area would be 3 × 5 = 15 square units. In both cases, the area of the rectangle remains the same, demonstrating that the order of multiplication does not affect the result.
Therefore, regardless of whether we use the x-easy method or the y-easy method, the area of a rectangle remains the same because the order of multiplication does not alter the product.
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Which equation represents a line which is parallel to the line 8x + 7y = -28?
Answer:
-8/7 slope
Step-by-step explanation:
so first u need to figure out the y=mx+b of ur equation 8x+7y=-28 to make it easier on urself yk. so first you get the y by it self and change it to become 7y= -8x-28 you do this by dragging the 8x to the other side which makes it negative since ur switching sides. now u divide each number by 7 since the 7y is by itself. doing this u get y= -8/7x-4. basically parallel = same slope so you will keep ur same slope or m as -8/7 and now all u need to find is b but in ur question u didnt give coordinates so irdk but ur answer has to have the -8/7 slope
Matt has two family members with the same birthday. So he makes two cakes and tops them with a total of 76 candles. One cake has 48 candles. How many candles are on the other cake?
Answer:
28
Step-by-step explanation:
76-48
Answer:
28
Step-by-step explanation:
Since matt has TWO family members and he made TWO cakes,one for each and the two cake sums up to a total of 76 candles and one of the cake has 48 candles,and you're trying to find how many candles are on the other cake,just subtract 48 from 76 and you'll get 28
76-48=28
x^2+11x+30 ?????????????????????
Solution:
X^2+11x+30
=X^2+(6+5)x+30
=X^2+6x+5x+30
=X(x+6)+5(x+6)
=(X+6)(x+5).
So,the answer is (x+6)(x+5).
of a mile uses about the same number of calories as running 1 mile.
a. Gilda ran a 26 mile marathon. About how far would her sister have to swim
to use the same number of calories Gilda used during the marathon?
b. Juan swims 5 miles a day. About how many miles would he have to run to
use the same number of calories used during his swim?
If swimming 1/4 of a mile uses about the same number of calories as running 1 mile.
a. The distance her sister have to swim to use the same number of calories Gilda used during the marathon is 6 1/2 mile.
b. The number of miles that he would have to run to use the same number of calories used during his swim is 20 miles.
How to find the number of miles?a. Number of miles:
1/4 swim / 1 run = x swim / 26 run
Cross multiply
= 6 1/2 mile
b. Number of miles:
1/4 swim / 1 run = 5 swim/x
Cross multiply
x = 20 miles
Therefore the number of mile is 6 1/2 miles and 20 miles.
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The complete question is:
Swimming 1/4 of a mile uses about the same number of calories as running 1 mile.
a. Gilda ran a 26 mile marathon. About how far would her sister have to swim
to use the same number of calories Gilda used during the marathon?
b. Juan swims 5 miles a day. About how many miles would he have to run to
use the same number of calories used during his swim?
find the circumference using the formula calculate your answer to the nearest hundredth
The circumference of the circle to the nearest hundredth is 21.98 inches.
How to find the circumference of a circle?The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle.
The circumference of a circle is the perimeter of the circle. It's the wholes boundary of the circle.
The circumference of the circle can be found as follows:
circumference of a circle = 2πr
where
r = radiusTherefore,
diameter of the circle = 7 inches
radius of the circle = 7 / 2 = 3.5 inches
Hence,
circumference of a circle = 2 × 3.14 × 3.5
circumference of a circle = 21.98 inches
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A study is to be conducted of the percentage of popcorn seeds that collapse during cooking. How large a sample is required if we wish to be at least 95% confident that the error in estimating this quantity is less than 0.010, regardless of its true value? Use the z-value rounded to two decimal places to obtain the answer. n=
Answer:
A sample size of at least 9604 is required to estimate the percentage of popcorn seeds that collapse during cooking with a maximum margin of error of 0.010
To determine the sample size required for estimating the percentage of popcorn seeds that collapse during cooking with a specified margin of error, we can use the formula:
n = (z^2 * p * (1-p)) / E^2
Where:
n = sample size
z = z-value corresponding to the desired confidence level (in this case, 95% confidence level)
p = estimated proportion (since we don't have an estimate, we can use p = 0.5 as a conservative estimate)
E = maximum desired margin of error
Given that the maximum desired margin of error (E) is 0.010 and the desired confidence level is 95%, we need to find the corresponding z-value.
The z-value corresponding to a 95% confidence level (two-tailed) is approximately 1.96 when rounded to two decimal places.
Substituting the values into the formula, we have:
n = (1.96^2 * 0.5 * (1-0.5)) / 0.010^2
Simplifying the equation:
n = (3.8416 * 0.25) / 0.0001
n = 9604
Therefore, a sample size of at least 9604 is required to estimate the percentage of popcorn seeds that collapse during cooking with a maximum margin of error of 0.010, regardless of its true value and with a 95% confidence level.
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A sample size of at least 9604 is required to estimate the percentage of popcorn seeds that collapse during cooking with a maximum margin of error of 0.010
To determine the sample size required for estimating the percentage of popcorn seeds that collapse during cooking with a specified margin of error, we can use the formula:
n = (z^2 * p * (1-p)) / E^2
Where:
n = sample size
z = z-value corresponding to the desired confidence level (in this case, 95% confidence level)
p = estimated proportion (since we don't have an estimate, we can use p = 0.5 as a conservative estimate)
E = maximum desired margin of error
Given that the maximum desired margin of error (E) is 0.010 and the desired confidence level is 95%, we need to find the corresponding z-value.
The z-value corresponding to a 95% confidence level (two-tailed) is approximately 1.96 when rounded to two decimal places.
Substituting the values into the formula, we have:
n = (1.96^2 * 0.5 * (1-0.5)) / 0.010^2
Simplifying the equation:
n = (3.8416 * 0.25) / 0.0001
n = 9604
Therefore, a sample size of at least 9604 is required to estimate the percentage of popcorn seeds that collapse during cooking with a maximum margin of error of 0.010, regardless of its true value and with a 95% confidence level.
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-2,846,703 - -9.356.325
Answer:
hope this helps :)
Step-by-step explanation:
Multiple Choice
1. A student raises her grade average from a 75 to a 90. What was the percent of increase in the
student's grade average? Round your answer to the nearest tenth of a percent, if necessary.
O 20%
O 16.700
8.30
15%
Answer:
(a) 20%
Step-by-step explanation:
The percent increase is found from ...
% change = ((new) -(original))/(original) × 100%
= (90 -75)/75 × 100% = 15/75 × 100%
% change = 20%
The student's grade average increased by 20% of what it was.
_____
Additional comment
The student's grade average went up by 90-75 = 15 (points). These are often percentage points, so we could say the grade average increased by 15 percentage points.
The important point here is to be clear on what the basis is for computing a percentage change. If a score of 75 is the basis, then a change to a score of 90 is a change of 20% of that original score of 75.
If the maximum possible grade points are the basis, then a change from 75% of maximum to 90% of maximum is an increase of 15% of that maximum.
The wording here, "percent of increase in the student's grade average" suggests that the original grade average is the basis for measuring the change.
__
You often see (intentional) confusion of the basis in media reports. If violent crime, for example, increases from 2% of all crime to 3% of all crime, the media may claim a 50% increase in the rate of violent crime. On the other hand, it could be considered to be a 1% increase (3% -2% = 1%). If the relative increase is due to a large reduction in all crime, the actual amount of violent crime may have decreased. (2/100 = 2%; 1/33 = 3%) The numbers chosen will depend on who is reporting and what the purpose of the report is.
Find the area of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
20 square units
25 square units
5 square units
5
5
s
q
u
a
r
e
u
n
i
t
s
5
5
squareunits
Answer:
To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.
Step-by-step explanation:
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
Answer:
Step-by-step explanation:
51 feet / 1.5 = 34 bags needed minimum
But trini needs more than 51 bags so:
X>34 is the answer
Confused abt this problem plz help it’s due at 12 :)
Answer:
The correct answer is Emmitt.
Step-by-step explanation:
no time to explain, you need this finished, also next time don't wait too late to do work, just saying ;)
Help me pls with showing work i’ll give brainliest
Answer:
To estimate the value of (4.532789...)², we can square 4.53 and add the decimal point and digits that come after it:
4.53² = 20.4808
So (4.532789...)² would be approximately 20.4808