The value of x is 21
The measure of angle B is 28°
The measure of exterior angle ACD is 63°
Calculating the measure of anglesFrom the question, we are to determine the measure of the angles.
From the given diagram, we can write that
35° + (x + 7)° = 3x° (Exterior angle theorem)
Solve for x in the equation
35° + (x + 7)° = 3x°
35° + x° + 7° = 3x°
35° + 7° = 3x° - x°
42° = 2x°
Divide both sides by 2
42°/2 = 2x°/2
21° = x°
Therefore,
x = 21
The measure of angle B is
Measure of angle B = (x + 7)°
Measure of angle B = (21 + 7)°
Measure of angle B = 28°
The measure of exterior angle ACD
Measure of exterior angle ACD = 3x°
Measure of exterior angle ACD = 3(21)°
Measure of exterior angle ACD = 63°'
Hence, the measure of the exterior angle is 63°
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5. A submarine is searching for underwater features. It is accompanied by a small
At one time the aircraft is 200 m above the surface, the submarine is 55 m below
aircraft and an underwater robotic vehicle,
the surface, and the underwater robotic vehicle is 227 m below the surface
What is the difference in height between the submarine and the aircraft?
1.
2. What is the distance between the underwater robotic vehicle and the
submarine?
Answer: The required difference is 255 m .
Step-by-step explanation: Since we have given that
Distance at which the aircraft is above the surface = 200 m
Distance at which the submarine is below the surface = 55 m
Above the surface is represented as positive number i.e. (+) 200 m
Below the surface is represented as negative number i.e. (-) 55 m
Hence, the required difference is 255 m .
(sorry if im wrong)
:(
Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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Which letter represents the maximum of the data set on the box plot?
А
B
C
D
E
25
30
35
40
45
50
B.
0.
ОООО
D
E
The boxplot required to answer the question has been attached below
Answer:
E
Step-by-step explanation:
The maximum value on a box plot can be obtained by taking the value at the end of the whisker positioned to the right of the box in the boxplot. From the boxplotvgiven above, the maximum value provided by the endpoint of the right hand side whisker is 48. The 48 point mark is labeled as E in the plot.
Hence, the letter depicting the maximum value position on the box plot is the letter E
Try it Now 1
At some random moment, you look at your clock and note the minutes reading.
a. What is probability the minutes reading is 15?
b. What is the probability the minutes reading is 15 or less?
a) The probability the minutes reading is 15 is 1.667%.
b) The probability the minutes reading is 15 or less is 25%.
What is the probability?Probability is the likelihood or chance that an expected outcome occurs when other events can equally happen or occur.
Probability is a fractional value when it is less than 1 and more than 0. When the event is inevitable, its probability is depicted as 1. On the other hand, when the event is unlikely to occur, its probability is shown as 0.
As a fractional value, we use decimals, fractions, and percentages to show probability.
The probability of the minutes reading being 15 = 1/60 or 1.667% (1/60 x 100)
The probability of the minutes reading being 15 or less = 25% (1.667% x 15) or (15/60 x 100).
Thus, there is a one in 60 chance that the minute reading is 15 and a 25% in 60 cases that the minute reading is 15 or less.
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Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34
books. There are 1,326 mystery books. How many shelves will he need to build?
How many shelves will he need to build?
PLEASE HELP ILL MARK BRAINLIEST!!
Answer:
39 shelves needed to build
Step-by-step explanation:
To find the number of shelves needed we need to divide the number of mystery books by 34
We know that. Each shelf can hold 34.
It is given that, There are 1,326 mystery books
So, 1,326/34
39 shelves needed to build
Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
Use the Commutative Property of Multiplication to write an expression equivalent to c.6.
c.6=
f(x) = x2. What is g(x)?
g(x)
H
-5
y
f(x)
-5-
-
O A. g(x) = 3x²
OB. g(x)=x²
OC. g(x)=
g(x)-(3x)²
(3, 3)
OD. g(x)=x²
5
X
On solving the provided question we cans ay that the value of the function will be x(x−2)=0 => x=0,2
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
The given functions are -
f(x)=x^2, g(x)=2^x
Find the value for -
fog(x)= gof(x)....equation 1
f(g(x)={g(x)}^2
First find solution for function f(g(x) -
⇒ f(g(x)={2^x}^2=2^2x
Now find solution for function g(f(x)) -
g(f(x))=2^f(x)
⇒g(f(x))=2^x^2
Now, substitute the values in equation 1 -
gof(x)=fog(x)
2^x^2=2^2x
⇒x^2=2x
x^2−2x=0
Therefore, the solution set is obtained as x=0,2.
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Find the perimeter of the window to the nearest hundredth. 3ft
Answer:
7.71
Step-by-step explanation:
1/2 pi * 3 + 3
3.14 * 3 = 9.42
1/2 of 9.42 = 4.71
4.71 + 3 = 7.71 ft
The length of a rectangle is
4
inches more than
4
times the width. If the area of the rectangle is
168
square inches, find the length and the width.
Answer:42
Step-by-step explanation:
Two sides of a triangle have lengths 18m and 23m. Describe the possible length of the thired side
The possible length of the third side will be values that are less than 41 and greater than 5
Triangular theoremFor three sides to be the sides of a triangle, the sum of any two sides of the triangle must be greater than the third.
Given the two sides of a triangle have lengths 18m and 23m, the sum of the sides is given as:
sum = 18 + 23
Sum = 41
Let the third side be x, such that;
x + 18 >23
23 + x > 18
x > 23 - 18
x > 5
Similarly
x > -5
Hence the possible length of the third side will be values that are less than 41 and greater than 5
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is parallel to its base, as in the picture below. What is produced
from this intersection?
OA. A pair of intersecting lines
OB. A point
OC. A pair of parallel lines
OD. A parabola
Answer:
B. A point
Step-by-step explanation:
You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.
VertexThe vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.
The intersection is one point.
__
Additional comment
Figure f in the attachment illustrates this case.
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
Yes.
Step-by-step explanation:
Because.
Answer:
23
Step-by-step explanation:
517
Problem ID: PRABEEZS
x
X
Solve the system of equations:
y = 4x - 3
y = -2x+9
Write your answer in the following format:
(x,y)
with no spaces
Copied for free from openupresources.org
Type your answer below
Submit Answer
Answer:
(2, 5)
Step-by-step explanation:
Given the systems of equation
y = 4x - 3
y = -2x+9
Since both are y values, we will equate the right hand side of the equations
4x -3 = -2x+9
Collect the like terms
4x+2x = 9+3
6x = 12
x = 12/6
x = 2
Substitute x = 2 into any of the equation.
Using equation1;
y = 4x - 3
y = 4(2) - 3
y = 8 - 3
y = 5
Hence the solution to the system of equation is (2, 5)
please helpp... write an equation that represents the total profits based on the number of dogs groomed. (algebra)
Here ya go:
15d - 23.76 = m
Answer:
15x-23.72= total profit
x=number of dogs groomed
What is the surface area of the rectangle pyramid below 13 13 13
Answer:
Step-by-step explanation:
Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:
First, we need to calculate the area of the rectangular base, which is simply length x width:
Area of rectangular base = 13 x 13 = 169 square units
Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.
To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:
a² + b² = c²
where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.
13² + 13² = c²
338 = c²
c ≈ 18.38
Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:
Area of isosceles triangle = (1/2) x base x height
Area of isosceles triangle = (1/2) x 13 x 18.38
Area of isosceles triangle ≈ 119.14 square units
To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:
Area of right triangle = (1/2) x base x height
Area of right triangle = (1/2) x 13 x 18.38
Area of right triangle ≈ 119.14 square units
Since there are two of each type of triangular face, the total surface area of the pyramid is:
Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle
Surface area = 169 + 2 x 119.14 + 2 x 119.14
Surface area = 546.28 square units
Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.
i need serious help someone pleaseeeee
The value of c in the polynomial is - 7.
How to solve polynomials?The polynomial is given as follows:
p(x) = 2x³ - x² + cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:
Therefore,
p(x) = 2x³ - x² + cx + 2
when x - 2 is a factor, p(x) = 0
Therefore,
0 = 2x³ - x² + cx + 2
Hence,
2(2)³ - (2)² + 2c + 2 = 0
16 - 4 + 2c + 2 = 0
12 + 2 + 2c = 0
2c = - 14
divide both sides by 2
c = - 14 / 2
c = - 7
Therefore,
c = -7
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What is the are of the polygon?
Question 1 options:
14 sq yd
15 sq yd
16 sq yd
Answer:
15 sq yd thank me later
Step-by-step explanation:
Calculate the lateral area of the rectangular prism if the perimeter of the base is 48 units
Answer: It’s C just did assignment 288unitssquared
Morning!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Answer all 3 steps please. Thanks!
Answer:
C. Sphere
Volume:
V = 4/3πr³ = 4/3*9³π = 972π cm³Surface area:
A = 4πr² = 4*9²π = 324π cm²B. Cylinder
Volume:
V = πr²h = 3²*9π = 81π in³Surface area:
A=2πrh + 2πr² = 2π(3*9+3²) = 2π(36) = 72π in²A. Right Cone
Volume:
V = 1/3πr²h = 1/3π*5²*21 = 175π cm³Surface area:
A=πr(r+√(h²+r²)) = 5π(5 + √(21²+5²)) = 5(26.58)π ≈ 133π cm²A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?
Answer:
Thank you and please rate me as brainliest as it will help me to level up
the line with a slope of 9/7 & containing a midpoint of the segment whose end points are (2, -3) & (-6, 5)
Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:
y = (9/7)x + 25/7.
Step-by-step explanation:Step 1: Find the midpoint of the line segment.
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
So, the midpoint of the line segment is (-2, 1).
Step 2: Write the equation of the line using the slope-intercept form.
The slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept.
Given the slope as 9/7, we have:
y = (9/7)x + b
Step 3: Substitute the coordinates of the midpoint to find the value of b.
Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:
1 = (9/7)(-2) + b
1 = -18/7 + b
To find the value of b, we can solve this equation:
1 + 18/7 = b
25/7 = b
Step 4: Write the final equation of the line.
Using the value of b, the equation becomes:
y = (9/7)x + 25/7
The length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?
The Answer:
Width = 6
Step-by-step explanation:
Let width be w
(3w + 8) x w = 156
3 \(w^{2}\) x 8n - 156 = 0
(w + 8 x 6) (w-6) = 0
w = 6
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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Need help please help me if you know it
Answer:
I believe it's C... Not sure though...
is {(3,-2), (4,-2), (5,-2), (6,-2) a function
Answer:
yes
Step-by-step explanation:
This function is y=-2 which is a line that doesn't overlap.
Answer: Yes
Step-by-step explanation:
When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.
For example:
{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.
Another example:
{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value
Hope this helps!
Factor each polynomial. Look for a GCF first.
2x²-8k-90
O
2 (x-9) (x - 5)
2 (x + 9) (x + 5)
2 (x − 9) (x + 5)
2 (x + 9) (x - 5)
Answer:
Step-by-step explanation:
First, you could factor 2 out of the whole thing. The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)
WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
X =
The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.
Given two triangles.
Also given that, the scale drawings given are the reduction of the figure.
Most probably, the second triangle must be formed after a reduction with a scale factor of k.
Let k be the required scale factor.
The value of k can be found by taking the ratio of the corresponding sides.
k = 5.2 / 10.4
= 0.5
So all the corresponding sides will be half of the first triangle.
x = 0.5 × 12.6
= 6.3 feet
Hence the value of x is 6.3 feet.
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Covert 2/3 years to months
Answer:
7.9 or if you need to round it,it will be 8
Step-by-step explanation:
dont have a explanation nut i hopes this help.