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ryzh [129]
3 years ago
7

What is the area of the figure? Enter your answer in the box. 400 in²

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:

should be 112 cm^2

Step-by-step explanation:

10cm*10cm+(1/2(4*6)

dem82 [27]3 years ago
5 0

Answer:

112

Step-by-step explanation:

To make this easier we can pull apart the two know shapes which is the square and triangle

the formula to find the area square is length x width

so 10 x 10=100 this is the area of the triangle

the picture doesn't show the measurements of the triangle but we can still find it

16 in goes from the top of the triangle to the bottom of the square and we know the right side of the square is 10 in so to find the length of the left side of the triangle we can subtract 10 from 16 which is 6.

now we need to find the bottom part of the triangle we can see that it measures 6 in to the right of the triangle and we know that the side of the square is 10 in so all we do is subtract 6 from 10 and you get 4

the formula to find the area of a triangle is height x base divided by 2

so 6 x 4 divided by 2 is 12

now we know the area of the triangle and square is 12 and 100 so we add these together to get 112

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A sphere has a radius of 3 centimeters. What is the volume of the sphere?
iris [78.8K]

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3

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6 0
3 years ago
What is the length of EF in the triangle? Show your work. HELP!
Zinaida [17]

The length of EF in the given triangle is 8.80 m.

Step-by-step explanation:

Step 1:

In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.

The angle given is 90°, this makes the triangle a right-angled triangle.

So first we calculate the angle of E and use that to find x.

Step 2:

As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.

sinE = \frac{oppositeside}{hypotenuse}  =\frac{13.6}{16.2} = 0.8395.

E = sin^{-1} (0.8395), E = 57.087.

So the angle E of the triangle DEF is 57.087°.

Step 3:

As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.

cos E = \frac{adjacentside}{hypotenuse} = \frac{x}{16.2} .

cos(57.087) = 0.5433, x = 16.2 (0.5433) = 8.8014.

Rounding this off to the nearest hundredth, we get x = 8.80 m.

8 0
3 years ago
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