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Semenov [28]
3 years ago
15

20. what is the area of the figure.

Mathematics
1 answer:
AlekseyPX3 years ago
3 0
Comment
In a 45 - 45 - 90 triangle the two smaller sides are =. So when you use 
a^2 + b^2 = c^2, you need a and b both to find the area.

So call both of them = b^2.

Equation and solution
a^2 + b^2 = c^2
b^2 + b^2 = c^2
2b^2 = c^2
c = 24
b = ???

2 b^2 = 24^2
2 b^2 = 576 Divide by 2
b^2 = 288 I'm going to leave this as it is for the moment. You'll see what in a second.

Area of a triangle
Area of a triangle = 1/2 h * b
But the height and base are the 2 smaller equal sides of a 45_45_90 triangle
so h = b
base = b 

Area of a triangle = 1/2 b^2 The equalities above tell you that. h and b of the triangle are equal.

Area = 1/2 288 feet^2
Area = 144 feet^2
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Identify the converse:<br> If an angle measures 90°, then it is a right angle.
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Yes

Step-by-step explanation:

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2 years ago
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In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?
Lostsunrise [7]

First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.

Angle1+ angle2+angle3=180.

Which means that 90+(x+15)+2x=180.

After finding the value of x, which is 25 in this case, solve for each angle.

X+15=25+15=40.

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The value of the smallest angle is 40 degrees.

8 0
3 years ago
You are building a ramp that must cover a horizontal distance of exactly 17 feet. The angle of the ramp from the ground is 24°.
tiny-mole [99]

Answer:

Length of the ramp = 18.6 feet (Approx.)

Step-by-step explanation:

Given:

Horizontal distance (base distance) = 17 feet

Angle of elevation = 24°

Find:

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Cosθ = Length of base / Length of hypotenuse

Cos 24 = Horizontal distance (base distance) / Length of the ramp

Cos 24 = 17 / Length of the ramp

0.9135 = 17 / Length of the ramp

Length of the ramp = 17 / 0.9135

Length of the ramp = 18.6 feet (Approx.)

6 0
3 years ago
Help me for cookie pls
algol [13]

Answer:

x = 83°

Step-by-step explanation:

ZW is a straight angle which means it is equal to 180°

So 97° + x° = 180°

180° - 97° = 83°

3 0
3 years ago
Can someone please explain how to do this? thank you!
valkas [14]

Answer:

I belive the answer would be 452.16

Step-by-step explanation:

The formula to find the volume of a cylinder is v=\pi r^2h

h = height

r = radius

The radius for this is 4 and the height is 9

instert your number into your equation v=\pi (4)^2(9)

and from there i would just put it into a calculator and you get 144\pi or 452.3893-

8 0
3 years ago
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