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3 years ago

Surface area of a triangular prism formula?

Mathematics

2 answers:

madreJ [45]3 years ago

7 0

V=1/2 a *c * h
hope this helps

Murrr4er [49]3 years ago

3 0

SA=bh+(s1+s2+s3)H

s1,s2,s3 are sides of prism b is base h is height

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A rectangular prism has a width of 51 ft and a volume of 144 ft3. Find the volume of a similar prism with a width of 17 ft. Roun

meriva

Answer:

$5.3\ ft^3$

Step-by-step explanation:

Similar shapes with scale factor $k$ have proportional volumes with coefficient $k^3$ i.e.

$\dfrac{V_{large}}{V_{small}}=k^3,$

where

$k=\dfrac{\text{width of large prism}}{\text{width of small prism}}.$

Since

$\text{width of large prism}=51\ ft,\\ \\\text{width of small prism}=17\ ft,$

then

$k=\dfrac{51}{17}=3.$

Hence,

$\dfrac{144}{V_{small}}=3^3\Rightarrow V_{small}=\dfrac{144}{27}=\dfrac{16}{3}=5\dfrac{1}{3}\approx 5.3\ ft^3.$

7 0

3 years ago

Mrs. Ramiriz is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30

grin007 [14]

To answer the problem above, we must first define the word break even. Break even means there is no gain or loss, the difference between the capital amount and the sale amount is zero. In equation, let x be the number of pies. 5x + 30 = 12x, $5 times the number of pies plus $30 is equal to $12 times the number of pies sold. The answer is letter C.

5 0

3 years ago

Read 2 more answers

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2

Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

The value of x, in this case the value of current c in amperes, can be calculated with the formula $c=\frac{-b}{2*a}$ . In this case: $c=\frac{-120}{2*(-12)}$ So c= 5 amperes. The current is 5 amperes.
The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

The maximum power generated by the circuit is 300 watts.

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3 years ago

Answer this problem 3/14 divided 2/7 a. 2/7 b. 1/2 c. 1/7 d. 3/4

Ierofanga [76]

Answer:

Step-by-step explanation:

3/14 divided by 2/7 is 0.75

a.) 0.28571428571

b.) 0.5

c.) 0.14285714285

d.) 0.75

So d is the correct answer.

6 0

3 years ago

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If "-3<" x/5 < "-1" what is the value of x

Natalka [10]

Answer:

-15 < x < -5

Step-by-step explanation:

-3 < x/5 < -1

Multiply all sides by 5

-3*5 < x/5 *5 < -1*5

-15 < x < -5

7 0

3 years ago