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schepotkina [342]
2 years ago
11

FIND THE VOLUME AND SURFACE AREA. MEASUREMENT IN cm. π = 22/7

Mathematics
1 answer:
Digiron [165]2 years ago
7 0

The volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

It is given that:

A right triangular prism with dimensions

As we know, the volume of the right triangular prism is given by:

Volume = (1/2)bhl

Here b and l are the base dimensions h is the height of the prism

From the trigonometric ratios:

h = 10sin(25) = 4.23 units

b = 10cos(25) = 9.06 units

l = 8 units

Volume = (1/2)(9.06)(4.23)(8)

Volume = 153.30 cubic units

Thus, the volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

Learn more about triangular prisms here:

brainly.com/question/16909441

#SPJ1

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the units of measurement for the composite function s(w(h)) is  \frac{Signs}{weeks} . Correct option A) .

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

Here we have , Mary paints wooden signs and sells them at craft fairs. The function s(t) approximates how many signs Mary paints per hour. The function w(h) represents how many hours per week Mary spends painting the wooden signs. We need to find What are the units of measurement for the composite function s(w(h)) . Let's find out:

Basically we have two functions as ,

s(t) : how many signs Mary paints per hour

⇒ \frac{Signs}{hour}

w(h) : how many hours per week Mary spends painting the wooden signs

⇒ \frac{hours}{week}

In function composition, if we have two function f(x) and g(x) then

(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. So , In s(w(h)) :

⇒ \frac{Signs}{hour}(\frac{hours}{week})

⇒ \frac{Signs}{weeks}

Therefore ,  the units of measurement for the composite function s(w(h)) is  \frac{Signs}{weeks} . Correct option A) .

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A_2= A_1 (\frac{l_2}{l_1} )^{2}
A₂ - the area after the change,
A₁ - the area before the change,
l₂ - the dimension after the change,
l₁ - the dimension before the change.


It is given:
l₁ = 1 cm
l₂ = 3 cm

Let's use this formula for the mentioned triangle:
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X - 1/3 = 55

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