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jenyasd209 [6]
3 years ago
14

a clothing truck is shaped like a rectangular prism.The volume of the truck is 15 ft. The area of the base of the container is 6

ft squared .What is the height
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

2.5 ft

Step-by-step explanation:

A rectangular prism's volume is given by it's base area multiplied by it's height:

V = A_b * h

In this problem, we are given the volume and the base area, so we need to solve for h:

h = \frac{V}{A_b}

h = \frac{15}{6} = 2.5

The units are feet, so the answer is 2.5 ft.

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What is the fifth term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916?
iragen [17]
First we need to find the common ratio by dividing the second term by the first term. 36/120 = 3/10

an = a1 * r^(n-1)
n = term to find = 5
a1 = first term = 120
r = common ratio = 3/10
now we sub and solve
a5 = 120 * 3/10^(5 - 1)
a5 = 120 * 3/10^4
a5 = 120 * .0081
a5 = 0.972 <=== fifth term

or we could have just done this......since we multiply by 3/10 to find the next number...
a3 = 10.8......10.8 * 3/10 = 3.24 <== 4th term
3.24 * 3/10 = 0.972 <== fifth term
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3 years ago
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Which Number is one tenth as much as 0.3
ivolga24 [154]
0.03333 that is your answer thank you for asking me
3 0
3 years ago
If i am right in this problem, How can i show my work for this equation?
elena-14-01-66 [18.8K]

Answer: x2 + 4x + 11

Step-by-step explanation:

(x + 2)2 + 7

(x+2)(x+2) + 7

X2 + 2x + 2x + 4 + 7

x2 + 4x + 11

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Step-by-step explanation:

6 0
3 years ago
Find the complete solution of the system <br><br> 5x+3y+11z=37<br><br> 3y+z=12<br><br> 5x+9y+13z=61
valkas [14]

Answer:

y = \displaystyle\frac{12-z}{3}\\\\x = -2z + 5

Step-by-step explanation:

We are given a system of equation:

5x+3y+11z=37\\3y+z=12\\5x+9y+13z=61

To find a solution to the given system, we follow the given steps.

1. Subtracting second equation from first and third equation, we get:

5x+3y+11z-3y-z=37-12\\5x+10z = 25\\5x+9y+13z-3(3y+z) = 61 - 36\\5x + 10z = 25

2. After eliminating z to obtain two equations in two variable, we observe that the two equations obtained were same.

So we have three equations that will all graph in the same plane.

Thus, there are infinite number of solution to the given system of equation.

We can write the values of x and y in the form of z:

y = \displaystyle\frac{12-z}{3}\\\\5x + 12 - z + 11z = 37\\5x = -10z + 25\\x = -2z + 5

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3 years ago
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