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KATRIN_1 [288]
3 years ago
12

A=1/2h (b+c) solve for b

Mathematics
1 answer:
Illusion [34]3 years ago
8 0
A=1/2h(b+c)
times both sides by 2/1
2A=h(b+c)
divide both sides by h
\frac{2A}{h}=b+c
minus c from both sides
\frac{2A}{h}-c=b

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Describe the transformation from y= x + 4 to y= .5x + 4 Group of answer choices compresses stretches shifts right 4 shifts left
Nina [5.8K]

Answer:

This type of transformation is a horizontal stretch.

<em></em>

Step-by-step explanation:

Given

y = x + 4

y = .5x + 4

Required

Determine the type of transformation

The first function can be expressed as:

f(x) = x + 4

While the second function is:

g(x) = f(0.5x)

Solving f(0.5x), we have to substitute 0.5x for x in f(x) = x + 4

f(0.5x) = 0.5x + 4

So:

The second function is:

g(x) = 0.5x + 4

<em>This type of transformation is a horizontal stretch.</em>

<em></em>

<em>i.e. f(x) stretched to g(x)</em>

4 0
3 years ago
12 less than k is -8 find k
galben [10]

Answer:

4

Step-by-step explanation:

-8+12=4

4-12=-8

7 0
2 years ago
Read 2 more answers
On a diagram of the arena, the car park's length is 15 cm. The scale is 1:100.
faltersainse [42]

If a diagram has a scale of 1:100, that means that the real thing is 100 times larger. To find how long the real thing is, that means that we need to multiply the length on the diagram by 100. 100 * 15 is 1500. But, that is 1,500 cm. To convert it into meters, we need to divide by 100. That's because there's 100 centimeters in every meter. 1500/100 is 15, which means that the actual length of the car park is 15 meters.

8 0
3 years ago
If the standard deviation of a data set is 8.4, what is the variance?
Lynna [10]

Answer:

70.56

Step-by-step explanation:

The variance is the standard deviation squared.

σ² = (8.4)² = 70.56

7 0
2 years ago
1) You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how m
HACTEHA [7]
the correct question is
1. You’re baking a circular cake for a party. Your cake can be any size you want
2. What will the radius of your cake be and how many slices will you be able to cut?
3. List the coordinates of any point in the coordinate plane.For your original discussion post, you only need to respond to #1, #2, and #3.View posts from your classmates and choose one to which you will respond.

Answer the following questions:
1. For the cake that your classmate is baking, what would be the central angle of each slice of cake?
2. If you eat two slices of cake that are side by side, what is the measure of the arc that these two slices intercept?
3. What is the circumference of the cake?
4. A circle to represent the cake is graphed on the coordinate plane. What equation represents the cake if it is centered at the point that your classmate listed for #2?
This is what my classmate posted. 
1. The radius of my cake is 6 inches and I can cut 8 pieces.
2. (2,-3)


we know that
1) the radius of the cake is r=6 in and the cake will be cut into 8 pieces
2) the coordinates of any point in the coordinate plane is (2,-3)

part 1) what would be the central angle of each slice of cake?

The central angle of each slice would be found by dividing the total central angle of a circle (360°) by the number of slices (8), 
so:
360/8=45 degrees

the answer part 1) is
Each slice would have a central angle of 45°.

Part 2) If you eat two slices of cake that are side by side, what is the measure of the arc that these two slices intercept?

The degree measure of the intercepted arc would be 2*45°=90°

The length in inches of the intercepted arc could be found:
Circumference=2*pi*r-----> C=2*pi*6----> 12*pi in

if 360° (full circle) has a length of---------> 12*pi in
90°----------------------> x
x=90*12*pi/360----> x=3*pi in

the formula to calculate the arc length is
[central angle in degrees/360°]*2*pi*r

Part 3) What is the circumference of the cake?

Circumference=2*pi*r-----> C=2*pi*6----> 12*pi in----> 37.68 in

the answer part 3) is
the circumference of the cake is 12*pi in or 37.68 in

Part 4) A circle to represent the cake is graphed on the coordinate plane. What equation represents the cake if it is centered at the point that your classmate listed for #2?

we know that
the center is the point (2,-3)
the equation of a circle is
(x-h)²+(y-k)²=r²
where (h,k) is the center
and
r is the radius
so
(x-h)²+(y-k)²=r²------- (x-2)²+(y+3)²=6²----> (x-2)²+(y+3)²=36

 the answer part 4) is 
(x-2)²+(y+3)²=36

see the attached figure

3 0
3 years ago
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