Ask question

Ask question

All categories

3 years ago

14

If the area of a rectangular prism is represented by the volume -5x^5 - 1 and the height is 5x + 5, what is the area of the base

in terms of x?

1 answer:

kolbaska11 [484]3 years ago

8 0

Answer:

= -5 $x^{4}$ - 1/5

0r

-5 $x^{4}$ - 0.2

Step-by-step explanation:

Volume of a rectangular prism = area of base x height

-5 $x^{5}$ - 1 = 5x + 5 x area of the base

to determine the area of the base, divide both sides of the equation by (5x + 5)

area of the base = (-5 $x^{5}$ - 1) / (5x + 5)

= -5 $x^{4}$ - 1/5

0r

-5 $x^{4}$ - 0.2

You might be interested in

Let s be the sum of all digits used in writing all numbers from 1 to 1010.find s

Sophie [7]

We know, s = n/2 [a + l ]
Here, n = 1010
a = 1
l = 1010

Substitute their values,
s = 1010/2 [1 + 1010]
s = 505 [ 1011]
s = 510555

In short, Your Answer would be 5,10,555

Hope this helps!

6 0

4 years ago

The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the pol

kobusy [5.1K]

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

$P=AB+BC+CD+DE+AE$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 2

<em>Find the distance AB</em>

$A(-2, 1). B(-3, 3)$

substitute in the formula

$d=\sqrt{(3-1)^{2}+(-3+2)^{2}}$

$d=\sqrt{(2)^{2}+(-1)^{2}}$

$d_A_B=\sqrt{5}=2.24\ units$

step 3

<em>Find the distance BC</em>

$B(-3, 3), C(-1, 5)$

substitute in the formula

$d=\sqrt{(5-3)^{2}+(-1+3)^{2}}$

$d=\sqrt{(2)^{2}+(2)^{2}}$

$d_B_C=\sqrt{8}=2.83\ units$

step 4

<em>Find the distance CD</em>

$C(-1, 5), D(2, 4)$

substitute in the formula

$d=\sqrt{(4-5)^{2}+(2+1)^{2}}$

$d=\sqrt{(-1)^{2}+(3)^{2}}$

$d_C_D=\sqrt{10}=3.16\ units$

step 5

<em>Find the distance DE</em>

$D(2, 4),E(2, 1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(0)^{2}}$

$d_D_E=\sqrt{9}\ units$

$d_D_E=3\ units$

step 6

<em>Find the distance AE</em>

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(2+2)^{2}}$

$d=\sqrt{(0)^{2}+(4)^{2}}$

$d_A_E=\sqrt{16}\ units$

$d_A_E=4\ units$

step 7

Find the perimeter

$P=AB+BC+CD+DE+AE$

substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

6 0

3 years ago

Classify the angles, then find the value of x

marta [7]

Answer:

i dont understand

Step-by-step explanation:

4 0

3 years ago

fredd [130]

Hi there I know the answer but it was confusing so it has to be D or B

6 0

3 years ago

To celebrate her birthday, Whitney wants to take her friends adventuring in a 4WD vehicle from All Terrain Tours.

IgorC [24]

Answer:

Whitney can bring <u>6 friends.</u>

Step-by-step explanation:

The reason why is this:

Whitney is bringing 400 pounds of things plus <u>her own body weight! </u>

400 + 165 = 565 pounds

Now we add on Whitneys freinds which is <u>165 (their body weight) + the 10 pounds of gear which equals 175 pounds. So each friend would be 175 pounds total weight. </u>

175 x 6 = 1,050 pounds

If we add on Whitneys total weight thats:

565 + 1,050 = 1,615

<u>Adding on another friend would be 1,790 pounds which would be over the weight limit for the vehicle. </u>

Hence, Whitney can bring along 6 friends for her birthday.

<em>Hope this helped! :)</em>

4 0

3 years ago