So the first hour it travels from 1-6 miles, the second hour it travels at least two miles. And the question is "draw the range of miles the boat could of traveled in the second hour". Well first of all the third hour is completely useless so forget about that. Now, the first hour says it traveled from 1-6 miles, we don't know how many miles it traveled for sure but it could of traveled up to 6. So in the second hour when they say "at least two miles" the boat could of travled at least two miles more than 1-6. So 1+2+3, 2+2+4, 3+2=5, 4+2=6, 5+2=7 and 6+2=8. So the boat could of traveled from 3 to 8 miles in the second hour.

7 0

3 years ago

the volume of a storage tub shaped like a rectangular prism is 24 ft cubed. The height of the top is 3 ft the width is W feet in

kondor19780726 [428]

<h2>Answer:</h2>

$\boxed{W=2ft}$

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

From the statement of the problem we know:

$V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2$

So:

$24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4$

Since we can't have negative distance, the only valid option is $\boxed{W=2ft}$

3 0

3 years ago

I need help on this please anyone help

joja [24]

x + 90 = 7x

90 = 7x - x

90 = 6x

x = 90/6

x = 15

Result x = 15

Measure of each angle = 15 + 90

= 105

a) x = 15

b) angle = 105°

Second problem

a= Complementary

b) 90°

c) x = 90 - 37

x = 53°

8 0

1 year ago