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2 years ago

Find the surface area of the prisim

Mathematics

1 answer:

Rufina [12.5K]2 years ago

6 0

Answer: 180 cm²

Step-by-step explanation:

You calculate the surface area of the prism as following:

1- The surface area of both right triangles:

$SA_{t}=2(\frac{b*h}={2}= 2(\frac{12cm*5cm}{2})=60cm^{2}$

(The sum of the surface area of both triangles).

2- The surface area of the rectangles:

$SA_1=5cm*4cm=20cm^{2}\\SA_2=4cm*13cm=52cm^{2}\\SA_3=12cm*4cm=48cm^{2}$

3. Add all the areas.

The result is:

$SA=60cm^{2}+20cm^{2}+52cm^{2}+48cm^{2}=180cm^{2}$

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Find the missing lengths of the sides.

Anarel [89]

Given:

The figure of a right angle triangle.

$a=b$

Hypotenuse = $9\sqrt{2}$ in.

To find:

The missing lengths of the sides.

Solution:

In the given right angle triangle both legs a and b are equal, and hypotenuse is $9\sqrt{2}$ in.

Using Pythagoras theorem, we get

$Hyponteuse^2=Base^2+Perpendicular^2$

$(9\sqrt{2})^2=(a)^2+(b)^2$

$81(2)=(a)^2+(a)^2$ $[\because a=b]$

$81(2)=2(a)^2$

Divide both sides by 2.

$81=(a)^2$

Taking square root on both sides.

$\pm \sqrt{81}=a$

$\pm 9=a$

Side cannot be negative. So,

$9=a$

Thus, the missing side lengths are a=9 in and b=9 in.

Therefore, the correct option is C.

6 0

2 years ago

C=5/9(F-32) solve for F

mina [271]

F= 9/5 C + 32
or
F= 9/5(C+32)
 Hoped this helped:)

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2 years ago

Maya paid $11.88 for a 2.38-pound bag of shrimp at one store. The following week, she paid $26.47 for a 5.08-pound bag at anothe

lbvjy [14]

Answer:

2.38 lb bag = 4.99/lb 5.08 lb bag = 5.21/lb The 2.38 is the better buy

Step-by-step explanation:

11.88/2.38 = 4.99

26.47/5.08 = 5.21

4.99 is cheaper than 5.21 so the 2.38 lb bag is better buy

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2 years ago

Your car's back window is in the shape of a trapezoid with the dimensions shown. The 1616-inch window wiper cleans a part of the

ExtremeBDS [4]

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Trapezoid area = ((base 1 + base 2) / 2) * h Here, base 1 is 44 and base 2 is 36. The height (h) is 20. Let's call this trapezoid's area t. (44+36)/2 *20 = t

We can remove the area of the semicircle (that created by the windshield wiper) by subtracting it from the area of the trapezoid. t - s = uncleaned area [(44+36)/2 * 20] - [3.14 * 16^2] = uncleaned area

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2 years ago

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Lucas bought a package of baseball cards for $0.70. His friend bought 3 times as many packages. How much did his friend spend?

kodGreya [7K]

Answer: $2.10

Step-by-step explanation:

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2 years ago