A pyramid with a rectangular base has a volume of 60 cubic feet and a height of 6 feet. The width of the rectangular base is 4 feet. Find the length of the rectangular base.

Answers

Answer 1

Answer:

length=2.5feet

Step-by-step explanation:

Volume =Base area * height

6/60=(4*length) * 6/6

10=4length

length=10÷4

=2.5feet

Answer 2

The length of the pyramid is 7.5 feet.

What is a pyramid with rectangular base?

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.'

According to the given problem,

Volume = 60 cubic feet

Height = 6 feet

Width of rectangular base = 4 feet

Let the length be x,

Volume =[tex]\frac{L * W * H}{3}[/tex]

⇒ 60 = [tex]\frac{x*6*4}{3}[/tex]

⇒ 180 = 24x

⇒ x = [tex]\frac{180}{24}[/tex]

⇒ x =[tex]\frac{45}{6}[/tex] = 7.5

Hence, we can conclude that the value of the length of the rectangular base is 7.5 feet.

Learn more about rectangular pyramid here: https://brainly.com/question/16602334

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Related Questions

plz give some one answrer​

Answers

Answer:

x=120 (opp. angles of //gram)

Step-by-step explanation:

Because DA//CB and AB//DC (given)

Therefore ABCD is a parallelogram (opp. sides equal)

Therefore,

∠DAB = ∠DCB (opp. ∠s of //gram)

x = 120

Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40

B. $720,421.84

C. $37,784.31

D. $556,559.8​

Answers

Answer:

487,988.40

Step-by-step explanation:

I took the test

sara compares to phone plans. plan A charges $99 for the phone plus $25 per month. plan B charges $39 for a phone and a $35 per month. at what month will the plans cost the same?

Answers

Answer: 6th month

Step-by-step explanation:

Let the month where the plans cost the same be represented by x.

Plan A charges $99 for the phone plus $25 per month. This can be written as:

= 99 + 25x

Plan B charges $39 for a phone and a $35 per month. This can be written as:

= 39 + 35x

We then equate both equations and this will be:

99 + 25x = 39 + 35x

Collect like terms

99 - 39 = 35x - 25x

60 = 10x

x = 60/10

x = 6

The plan will cost the same in the 6th month.

The mean numberr of stereos sold per day at the store was 15 over a period of 7 days which statement must be true about the stereo sales at the store

Answers

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

15 x 7 = 105



Find a linear equation of the line with a slope 3 passing through the point
(-9,7).

Answers

-9=3*7+b
b=-9-21=-30

Equation: y=3x-30

please helpppppppppppppppp

Answers

Answer:is (4x-5)

Step-by-step explanation:

Answer: check your next period class

Step-by-step explanation:

your teacher is looking for you

help! i just need the answers. maybe some explanations would be good too :)

Answers

For Number one: -xy + 2x = 20, x = 5

To solve this, all we need to do is plugin 5 for every place we have x. So...

- (5)y + 2(5) = 20

-5y + 10 = 20

-5y = 10

y = -2

For number two: 4x - 3y - 10 = 1, x = -1

To solve this, we need to plugin -1 for all of the x variables. So...

4 (-1) - 3y - 10 = 1

-4 - 3y - 10 = 1

-14 - 3y = 1

-3y = 15

y = -5

For number three: 5x + 7y = -1, x = 4

We need to plugin -4 for all of the x variables. So...

5 (4) + 7y = -1

20 + 7y = -1

7y = -21

y = -3

For number four: x = 6 + xy, x = -3

Same as the other ones, just plugin -3 for all of the x variables. So...

-3 = 6 + (-3)y

-3 = 6 - 3y

-9 = -3y

3 = y

I hope this helps :)

He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.

Answers

Answer:

Lucas is not right.

Step-by-step explanation:

To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675

Solution:

Value of 6 in 76,345 = 6,000

Value of 6 in 34,675 = 600

Now 6000 = 10 × 600

So,

Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

Therefore, Lucas is not right.

Answer:

Part A: Lucas is wrong.

Part B: The value of 6 in 76,345 is 6,000 and  the value of 6 in 34,675 is 600.

Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

10 × 600 = 6,000

Step-by-step explanation:

I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!

Please mark my answer as the Brainiest!!!!!

Thank You!!!!!!!!

What value of x will make the equation below true?
14−(x+7)=3

Answers

14-x-7=3
7-x=3
-x=-4
x=4


Find the area of the shape shown below.

Answers

Answer:

55 units²

Step-by-step explanation:

square = 25

triangle = 30

both = 55

G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4

Answers

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

[tex]G\propto \dfrac{j^2}{m}[/tex]

When we replace proportional sign with an equal to sign, we get

[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]

Now,

[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]

hence, when j =6 and m=4, the value of G = 4.5

what is 79% of 800? that's all the questions but I can ask it cuz apparently it's to shirt but what is 79% of 800?​

Answers

Answer:

the answer is 632

Step-by-step explanation:

that is %79 of 800

Answer:

79% of 800=632

Step-by-step explanation:

Change 79% to .79

Then, multiply .79 by 800.

Your answer should be 632.

Which of the following number cannot represent the 3 sides of a triangle?

{14,28,39}
{4,16,19}
{4,11,13}
{5,16,21}

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

d  5,16,21 Am sure I think

Step-by-step explanation:

Answer:

{5,16,21}

Step-by-step explanation:

sides of triangle: the sum of every two sides must be greater than the third sides.

{14,28,39}

=> 14 + 28 > 39, 14 + 39 > 28, 28 + 39 > 14  (correct)

{4,16,19}

=> 4 + 16 > 19, 4 + 19 > 16, 16 + 19 > 4 (correct)

{4,11,13}

=> 4 + 11 > 13, 4 + 13 > 11, 11 + 13, > 4 (correct)

{5,16,21}

5 + 16 not > 21 (wrong)

The number line represents 1 unit. What is the distance from 0 to point C on the number line?
A) 5/2 units
B) 4/5 units
C) 3/10 units D) 4/10

Answers

4/10 Units. The number line is cut equally into 10 pieces. If you count correctly, you’ll find out point C is on the 4th spot (I couldn’t remember its name sorry)

write a real world division problem for which you would drop the remainder


MEANING THERE WOULD BE NO REMAINDER!!!

Answers

Answer:

No remainder: Ana has 49 chocolate bars and she wants to give the same amount to each of her seven friends. How many chocolate bars would each friend get?

You have a remainder but don't use it: Ana has a 498 sticker pack. She wants to divide them amongst her 7 friends. How many stickers would each friend get if they all get the same amount?

Step-by-step explanation:

In the first one if you divide 49 by 7 you will get no remainder but in the second one you will

I didn't know what your question meant so I answered it if the problem had no remainder or if the problem did have a remainder but it is not used

Hope this helped :)

Answer:

You are a teacher holding a competition amongst your students. In your class, you have 31 children competing. The prizes that you give them are chocolates. Beforehand, you bought 2 bags of Hershey's Kisses. Inside one bag, there are 70 Hershey's Kisses. In the end of the competition, you teach your students that in your classroom, there are no winners or losers; just learners. You spread the Hershey's Kisses evenly amongst all of your students. You keep the remaining ones left. How many Hershey's Kisses do your students get?

(I hope whoever grades this for you gets a little laugh out of it lol)

PLEASE HELP WHAT ONE
Its not C

Answers

Answer:

D. (-3, 4)

Step-by-step explanation:

When Bruce won a contest, he got a bronze medal with a radius
of 5 centimeters. What is the medal's diameter?

Answers

Answer:

10 centimeters

Step-by-step explanation:

diameter = 2r

r = radius

diameter = 2(5cm)

diameter = 10 cm

Round your answer to the tenths place if necessary

Help me please:(

Answers

Answer:

Step-by-step explanation:

31 btw your pfp is cute

12. Solve for x. x = ___________

Answers

Step-by-step explanation:

this is math right what grade is this

Find the value of x 6x+2

Help Due in 30 mins!

Answers

Answer:

Step-by-step explanation:

(6x + 2)° + 42° + 58° = 180°

6x + 2 = 180 - 100

6x = 78

x = 13

Answer:

13

Step-by-step explanation:

There are 180 degrees in a triangle

58 + 42 + (6x +2 ) = 180

98 + (6x + 2) = 180

Subtract 98 from 180.

6x +2 = 82

Subtract 2 from 82

6x = 80

x = 13.333 or 40/3

anyone PLEASE help me with this​

Answers

Answer:

1. Supplementary

2. Complementary

3. Neither

4. Neither

5. Supplementary

6. Complementary

Step-by-step explanation:

Complementary is when 2 angles add up to 90 degrees

Supplementary is when 2 angles add up to 180 degrees

PLZ HELPPP MEEEE
Combine the radicals

Answers

Answer:

C) [tex]17\sqrt{13}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]

Find the cardinal number of the indicated set. Use the cardinal number formula.
F4) If n(A) - 10, n(
AB) = 28, and n(AB) = 6, find n(B).
A) 24
B) 18
C) 25
D) 23
Find the cardinal number

Answers

Answer is D.) 23 hope I could help;) tjrjdfjfjfnf f f find zo d d
Dkixkckckcmcxnxmxmxmd

If h(x) = 2x and k(x) = 2x - 4, what is h(k(x))?

Answers

To find h(k(x)), substitute k(x) into h(x):

h(k(x)) = 2x

          = 2(2x - 4)

          = 4x - 8

Thus, h(k(x)) = 4x - 8 would be your final answer.

(-2,5) and (5,-4)
What will be the slope of the line passing through these points?

Answers

The slope is -9/7. I don’t have an explanation because I used an online calculator but that’s the answer in case you don’t have to show work.

Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.

Answers

Answer:

The answer is "0.500".

Step-by-step explanation:

The chance that round will be won, [tex]P (win) =0.8[/tex]

The likelihood of losing round by complementary law

[tex]P(loss) = 1 -P(win)\\\\[/tex]

            [tex]=1-0.8\\\\=0.2\\\\[/tex]

Let X be the number of rounds to the first loss played.

Here, [tex]X \sim Geometric (p=0.2)[/tex]

The PMF of X is the following:

[tex]P(X=x)=p(1-p)^x\\\\[/tex]

        [tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]

The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]

Markov's Inequality:

Suppose X is any random variable that has no negatives. So,

[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]

Find the upper bound of [tex]P (X \geq 10)[/tex]

[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]

                 [tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]

 The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500

Estimate a 20% tip on a dinner bill of $142.74 by first rounding the bill amount to the nearest ten dollars.
Estimated tip:
X
6
?

Answers

$142.74 rounded to nearest ten dollars is $140. And so now you find 20% of 140 by multiplying 140 by .20 (which is the decimal form of 20%). You’ll get $28 and that will be tip but total bill would be $140+$28 or $142.74+$28 to be exact.

Answer:$171.29

Step-by-step explanation:

if the tip amount is around $28.55 and your putting 20% it would $171.29 but it would determine how many people they are.

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.

Answers

she will need two more hours to buy the dress

This is how many hours you will need 5 hours

what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The mean of the following set of fractions is D. 22/75

Answer:

22/75

Step-by-step explanation:

To find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=1/2+1/5+1/5+1/10+7/15

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

=15/30+6/30+6/30+3/30+14/30

Rewriting numerators over the common denominator,

=15+6+6+3+1430

Totaling the numerator:

=44/30

Reducing the fraction:

=22/15

Dividing by the number of values: 5

22/15÷5=22/15×15=22/75

Average of the fractions is:

Average=22/75

HELPPPPP IM GIVING 50 POINTS FOR THIS !

Answers

4 cups = 1 quart

16 cups = 4 quarts

thx brainliest plz?

Answer:

4 cups = 1 quart

16 cups = 4 quarts

Step-by-step explanation:

I hope I'm not too late! :)

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