A rectangular prism with a square base has a volume of 980 inches. If the height of this rectangular prism is 5 inches, what are the dimensions of its base?

Answers

Answer 1

Answer:

14 inches

Step-by-step explanation:

Since the rectangular prism has a square base, we know that the width and length are equal.

Using the formula for calculating the volume of a rectangular prism, we can set up an equation:

(width^2)*height = 980 cubic inches or

(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:

width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:

√width (inches) = √196 square inches = width = 14 inches

each side of the prism's base is 14 inches

Answer 2

Answer:

980 in

Step-by-step explanation:


Related Questions

Help me please, I need this

Answers

321,300,0

Multiply 20x17x15x18x35

20×17= 340

5×18= 90

340+90= 430

answer 430 km

i hope this helps ^^

Suppose we have two independent, normally distributed, populations and we draw a random sample from each population. For population A, we drew a sample of 13 and found the mean to be 17 with a standard deviation of 4. For population B, we drew a sample of 12 with a mean of 19 and a standard deviation of 3. We want to determine if the treatments result in the same effect. Show all work.

Answers

Answer:

Since the calculated value of z=  -1.421 does not lie in the critical region z >

- 1.96 the null hypothesis is accepted and it is concluded that the treatments result in the same effect.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μa  − μb = 0  the treatments result in the same effect

against the claim

Ha: μa − μb ≠ 0   the treatments  do not result in the same effect

2) The significance level is set at 0.05

3) The critical region is z =  ± 1.96

4) The test statistic

Z= x1`-x2`/ sqrt [( s1²/n1+ s2²/n2)]

Here

x1`= 17             s1= 4               n1= 13

x2`= 19             s2= 3             n2= 12

5) Calculations

Z= x1`-x2`/ sqrt [( s1²/n1+ s2²/n2)]

z= 17-19/sqrt [( 16/13+ 9/12)]

z= -2/1.40739

z= -1.421

6) Conclusion

Since the calculated value of z=  -1.421 does not lie in the critical region z >

- 1.96 the null hypothesis is accepted and it is concluded that the treatments result in the same effect.

r = 3.7 m.
Calculate the circumference of the circle.

Answers

Answer: 23.25m

Step-by-step explanation:

C=2πr=2·π·3.7≈23.24779m

In the triangle below, what is the length of the side opposite the 60° angle?

A. /3
B. 3/3
C. 6
D. 2/3

Answers

Step-by-step explanation:

[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]

A $1,200 computer is losing value at a rate of 22% per year; 2 years​

Answers

Answer:

$730.08

Step-by-step explanation:

22% = 0.22

1 - 0.22 = 0.78

Value after 2 years

v = 1200(0.78)²

v = 730.08

$730.08

Greg made the dart board shown. It is divided into equal sections. A dart is randomly thrown and lands on the board.
5
1
2
3
3
2
4
1
5
What is the probability that a dart will land on a section marked with the number 1?
O A 5%
B. 10%
O C. 20%
OD. 25%
O E SOS
SRESET
Gianna Faith Russell, ID#***93
Question #22
Growth: Math 6+ MD 2011
A 407
1:24 PM
5/10/2021
Type here to search
RI

Answers

Answer:

Step-by-step explanation:

10

x dvided 8 = 9
what is value of x

Answers

Answer:

72

Step-by-step explanation:

72/8 = 9

Answer:

x=72

Step-by-step explanation:

Step- by- step Explanation

Complete the pattern. 33, 44, 55, 66, ___, ___

Answers

Answer:

33,44,55,66,77,88

Hope this helps!!!!!!!

help please help me

Answers

Answer:

given the way its said i say sudden.

Struggling with these last two. Thanks so much!!

Answers

Answer:

1. C

2. D

Step-by-step explanation:

1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.

2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1

The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.

so the equation is y=x+6, which is just the last option, let's say D, but just rearranged

the first one C
and the second one D


ILL MARK U BRAINLESS IF YOU HELP ME PLEASE!!!!!

Answers

The one that is at the bottom :) have a nice day!

Help pls!Pls and ty!

Answers

Answer:

a

Step-by-step explanation:

The following is an arithmetic series.
31+33.5+36+38.5+...
O True
O False

Answers

9514 1404 393

Answer:

  True

Step-by-step explanation:

It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.

True, the sum is an arithmetic series.

Help meeeeeeeeeeeeeeeeeeee

Answers

Answer:

Dependent

Step-by-step explanation:

When the probability is AND, it is dependent. You *have* to get the A outcome for A and B to be valid.

Grayson bought a rectangular waste basket that is 3 1/2 feet long, 3/4 foot wide, and 1 foot high.

Answers

Answer:

cool and whats the question

Step-by-step explanation:

Fred has a jug that contains
750 milliliters of milk. How many
liters of milk are in the jug?

Answers

Answer:

.75 liters

Step-by-step explanation:

add a decimal point at the end of 750 and move it 3 places to the left because mili is one thousandth of a liter


A bus is traveling at a constant speed. If the bus travels 15 miles in 1/3
of an hour,
how many miles will the bus travel in one hour?
evious
NO
HC
US

Answers

Answer:

Step-by-step explanation:

5 mph

a coffee shop sells coffee beans by the pound. A container hold 16 kilograms of coffee beans. For every 1 kilogram, there are approximately 2.2 pounds

Answers

Answer:

23.6

Step-by-step explanation:

Answer: 23.6

Step-by-step explanation:

help please help please ​

Answers

Wouldn’t that be 2/3?! I may be wrong if so sorry

what are the measures of 7 and 2 ? Explain please

Answers

Answer:

angle 2 is 99

angle 7 is 81

Step-by-step explanation:

Angle 2 and the angle we are given are congruent because they are vertical.

Angle 7 and the angle we are given form a line, so they add up to 180.

180-99 = 81

Solve 1/3(3.2×1.4)2.8

Simplify your answer​

Answers

Answer:

4.181

Step-by-step explanation:

1/3 (3.2×1.4) 2.8

1/3 ( 4.48) 2.8

1/3 (4.48 × 2.8)

1/3 × 12.544

= 4.181

Each year, a large warehouse uses thousands of fluorescent light bulbs that burn 24 hours per day until they burn out and are replaced. The lifetime of the bulbs is a normally distributed random variable with mean equal to 600 hours and standard deviation of 12 hours. The supplier of the light bulbs and the manager agree that any bulb whose lifetime is among the lowest 1% of all possible lifetimes will be replaced at no charge. What is the maximum lifetime a bulb can have (hrs) and still be among the lowest 1% of all lifetimes

Answers

Answer:

The maximum lifetime a bulb can have and still be among the lowest 1% of all lifetimes is 572 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The lifetime of the bulbs is a normally distributed random variable with mean equal to 600 hours and standard deviation of 12 hours.

This means that [tex]\mu = 600, \sigma = 12[/tex]

What is the maximum lifetime a bulb can have (hrs) and still be among the lowest 1% of all lifetimes?

This is the 1st percentile of lifetimes, which is X when Z has a pvalue of 0.01, that is, X when Z = -2.327.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.327 = \frac{X - 600}{12}[/tex]

[tex]X - 600 = -2.327*12[/tex]

[tex]X = 572[/tex]

The maximum lifetime a bulb can have and still be among the lowest 1% of all lifetimes is 572 hours.

Paul purchased a new fish tank, represented by the diagram below.
The height, h, of the tank is 3 feet, and the width, w, is 6 feet longer than the length, l. The volume of the tank (V=lwh) is 60 ft^3.
Write an equation that could be used to calculate the length of the tank.
Determine the exact length of the tank in simplest radical form.

Answers

Answer: l=-3+square root of 29

Step-by-step explanation:

I got this on my math homework

i need to know the surface area of both 1 and 2 please

Answers

Answer:

1. 142 in.²

2. 190 cm²

Step-by-step explanation:

Both solids are rectangular prisms.

Surface area of a rectangular prism = 2(LW + LH + HW)

1. L = 7 in.

W = 3 in.

H = 5 in.

Plug ok the values into the formula

Surface area = 2(7*3 + 7*5 + 5*3)

= 142 in.²

2. L = 10 cm

W = 3 cm

H = 5 cm

Plug ok the values into the formula

Surface area = 2(10*3 + 10*5 + 5*3)

= 190 cm²

2,649 divided by 55 please help

Answers

Answer:

49.1636363636

Step-by-step explanation:

I need he answer pls answer fast answer don’t scam

Answers

Answer:

30 ft²

Step-by-step explanation:

Area of trapezium = 1/2 (a + b)h

a = 6 ft , b = 9 ft , h = 4 ft

Area = 1/2 (6 + 9) 4

= 30 ft²

Answer:

D

Step-by-step explanation:

What is the slope of the line

Answers

Answer:

3

Step-by-step explanation:

I want to know how to do 11/13+44/39

Answers

Answer:

I'm pretty sure that the answer is 1.97

[tex] \frac{11}{13} + \frac{44}{39} [/tex]

11/13 ×3

11×3=33

13×3=39

11/13=33/39

33/39+44/39

= 77/39

77÷39

=

[tex]1 \frac{38}{39} [/tex]

Write a system of linear equations for the graph below.

Answers

Answer:

-3/-2

Step-by-step explanation:

because (x,y) the x coordinate is -3 and the y coordinate is -2

If p is inversely proportional to the square of q, and pis 24 when q is 11,
determine p when q is equal to 2.

Answers

Answer:

726

Step-by-step explanation:

Here p = k / q², and 24 = k / 121, or k = 2904

Then p = 2904 / q²

If q = 2, p = 2904 /4 = 726

Answer:

p = 12 × 11²

Step-by-step explanation:

By question,

=> p ∝ 1/q²

=> p = k/q²

When p is 24 and q is 11

=> 24 = k/11²

=> k = 24 * 11²

When q is 2 ,

=> p = k/q²

=> p = 24*11²/2

=> p = 12 × 11²

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