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Nikitich [7]
3 years ago
10

An angle measures 85.2° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Answer:Complementary angles are two angles whose sum is 90 degrees.

Let x represent one of the angles.

The other angle which is 84.2 degrees less would be x - 84.2.

Using this, we can write an equation.

x + (x-84.2) = 90.

Combine like terms:   2x - 84.2 = 90

Add 84.2 to both sides of the equation.

2x = 174.2

Divide by 2:  x = 87.1  

and x - 84.2 would equal 2.9.       to check: does  87.1 + 2.9 = 90?  yes.

Step-by-step explanation: Thats as close as its gonna it i think

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<u>Answer:</u>

<h2>SA = 84 ft²</h2>

<u>Explanation:</u>

SA = the area of one side of the pyramid times 4 + the area of the base of the pyramid

Area of a triangle = (height × base)/2

Area of a sqaure = lenght²

given:

h = 4 ft | b = 6 ft | l = 6 ft

SA = 4(h×b×1/2) + l²

SA = 4(4×6×1/2) + 6²

SA = 4×12 + 36

SA = 48 + 36

SA = 84 ft²

3 0
3 years ago
Translate (3,2) to the left one unit. Then reflect the result over the y-axis. What are the coordinates of the final point?
OleMash [197]

Answer:

(-2, 2)

Step-by-step explanation:

Take point (3, 2) and first translate it left one unit.  Now the point is (2, 2)

Now reflect it over the y-axis.  Doing so keeps the y value the same, we have a vertical line of reflection, so we are only changing the distance to the y-axis, which is the x-value.  

Our x value is 2 units away from the y axis, so its reflection will be 2 units away on the other side of the axis.  

The new x value is -2, so the point is (-2, 2)

4 0
3 years ago
The radius of a circle is 7 centimeters. What is the circle’s circumference?<br><br> Use 3.14 for pi
elixir [45]
The circle’s circumference is 43.98. Hope this helps!
8 0
3 years ago
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-p(51+z)=dz+84 <br>how do i solve for z​
deff fn [24]

Answer:

Z=53p/d-84/d

Step-by-step explanation:

hope it help's

6 0
3 years ago
A cone and a cylinder have the same height and their bases are congruent circles
Anettt [7]

Answer:

30cm^3

Step-by-step explanation:

the volume of a cylinder is given by:

v_{cylinder}=\pi r^2 h

and the volume of a cone is given by:

v_{cone}=\frac{\pi r^2 h}{3}

since both have the same height and radius, we can solve each equation for r^2h (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

r^2h=\frac{v_{cylinder}}{\pi}

and from the cone's volume formula:

r^2h=\frac{3 v_{cone}}{\pi}

matching the two previous expressions:

\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}

we solve for the volume of a cone v_{cone}:

v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}

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v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3

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3 years ago
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