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2 years ago

Find the area of the figure:

Mathematics

2 answers:

VikaD [51]2 years ago

5 0

Answer:

36 in²

Step-by-step explanation:

First, you find the area of the big rectangle.

5 ⋅ 8 = 40

Second, you find the area of the small square.

2 ⋅ 2 = 4

Finally, you subtract the 2 areas.

40 - 4 = 36

astra-53 [7]2 years ago

4 0

Answer:

To find the area of she shaded part we first need to find the total of the area.

L x W

8 x 5 = 40 is the total area

Now we need to find the area of the non - shaded part

Since it is a square all sides are equal the short lines sticking from the sides indicate that

2 x 2 = 4

Now we subtract the total area from the non shaded area.

40 - 4 = 36

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A major baseball diamond is a square with side lengths of 90 feet.

iren2701 [21]

Answer: $\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}$

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

$90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}$

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2 years ago

A fence is being built around a rectangular garden. The length of the garden is 35 feet, and the total fencing used to enclose t

liraira [26]

The garden's width is 45. We know this because
$35 \times 2$
(length)
$35 \times 2 + 2x = 160 \\$
35x2 is 70 and you need to neutralize that by taking away 70 from both sides.
$160 - 70 = 90$
$2x = 90$
Now divide by 2 on both sides to neutralize the 2 times x.
$90 \div 2 = 45$
meaning that leaves us with
$x = 45$

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2 years ago

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2 years ago

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andrey2020 [161]

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3 years ago

A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line

Ket [755]

Answer:

The height of the kite above the ground is 102 .44 feet

Step-by-step explanation:

To find the height of the kite above the ground, we will follow the steps below:

let h represent the height of the kite above the ground

we will use trigonometric ratio to solve

SOH CAH TOA

sinФ = opposite/hypotenuse

cosФ=adjacent / hypotenuse

tanФ=opposite / adjacent

from the diagram below

opposite = h

hypotenuse = 130 feet

Ф = 52°

The best trig ratio to use is sin

sin Ф = opposite / hypotenuse

sin52° = h / 130

cross-multiply

h = 130 sin 52°

h=102.44°

The height of the kite above the ground is 102 .44 feet

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2 years ago