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3 years ago

13

You want to buy a tent in the shape of a pyramid. The rectangular base is 35 square feet, with a height of 4 feet. What is the v

olume of the tent? Round your answer to the nearest hundredth.

1 answer:

marin [14]3 years ago

7 0

Answer:

46.67 cubic feet

Step-by-step explanation:

The formula for volume of a pyramid is

V = (1/3)Bh where B is the area of the base, and h is the height.

We are givne B = 35 and h = 4. Plug those values in and simplify...

V = (1/3)(35)(4)

V = (1/3)(140)

V = 140/3

V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth

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Given: f(n) = 3n-5 and g(n) = 2n-1<br>Find: (fog)(5

laiz [17]

Answer:

22

Step-by-step explanation:

So we have the two functions:

$f(n)=3n-5\text{ and } g(n)=2n-1$

And we want to find (fog)(5). This is the same as:

$(f\circ g)(5)=f(g(5))$

So, find g(5) first:

$g(5)=2(5)-1\\$

Multiply and subtract:

$g(5)=10-1=9$

So, we can substitute:

$f(g(5))=f(9)$

Find the value:

$f(9)=3(9)-5$

Multiply and subtract:

$f(9)=27-5=22$

So:

$(f\circ g)(5)=22$

And we're done!

4 0

3 years ago

X+56=88 what would x be???

Vanyuwa [196]

Subtract $56$ from both sides to get

$x+56-56=88-56$

$x=88-56$

$x=32$

3 0

3 years ago

Read 2 more answers

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent readin

valkas [14]

Answer:

B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

Step-by-step explanation:

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3 years ago

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The number 6 is in both the domain and the range of the function A(n)

Mazyrski [523]

Answer:

doing dis for points so i dont kno

Step-by-step explanation:

im soooo sorry

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3 years ago