Find the volume of a pyramid with a square base, where the area of the base is

12.7 ft- and the height of the pyramid is 17.8 ft. Round your answer to the nearest

tenth of a cubic foot.

Answers

Answer 1

Answer:

Volume, [tex]V= 75.35\ \text{feet}^3[/tex]

Step-by-step explanation:

We have,

Area of the base of of a pyramid with a square base is 12.7 ft

Height of the pyramid is 17.8 ft

It is required to find the volume of of a pyramid with a square base.

The formula used to find the volume of a pyramid with a square base is given by :

[tex]V=\dfrac{1}{3}Ah[/tex]

Plugging all the values in above formula

[tex]V=\dfrac{1}{3}\times 12.7\times 17.8\\\\V=75.35\ \text{feet}^3[/tex]

So, the volume of a pyramid is [tex]75.35\ \text{feet}^3[/tex].

Answer 2

Answer: 75.4 ft^3 when rounded

Step-by-step explanation:

Volume of Pyramid V=1/3BH

Area of base= 12.7

h=17.8

V=1/3 (12.7)(17.8)

V=75.353333

V=75.4 ft^3


Related Questions

What are two main purposes of all business?
deeloping communities ingraece
improving pubic image
incurring costs
macming profits​

Answers

Answer:

Developing communities ingraece and improving pubic image is the correct answer to the given question

Explanation:

Following are the purposes of all business is given below

Giving the maximum profit to the owner of the business  .Providing the social profit to the people as well as improving the pubic image in the environment .The business sometimes is creating the customer kindness in the organization .The business main objective to increasing the local jobs as well as  in the disposable income.All the other option are not correct as we compare to the public environment so these are incorrect option .

Answer:

earning revenue

maximizing profits

-6 + 4 i need help plz

Answers

-6+4
The answer is -2

Can someone help me with this question?
The one-year survival rate for pancreatic cancer is 20%. Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year. What is the probability of that happening.

Answers

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 12 people

            r = number of success = 6 survived

            p = probability of success which in our question is probability of

                  one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = Number of people survived one year

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

              P(X = 6)  =  [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]

                             =  [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]

                             =  0.0155

Solve h = - 16t2 + 36 for the time t in seconds it takes for the height h to reach 0. Apply the square root method.

Answers

Step-by-step explanation:

I'm not sure what the square root method is, but I'm assuming that you factor.

This is how I would solve it:

[tex]h = - 16 {t}^{2} + 36 \\ 0 = - 16 {t}^{2} + 36 \\ 0 = - 4(4 {t}^{2} - 9) \\ 0 = (2t - 3)(2t + 3) \\ t = \frac{3}{2} \\ t = - \frac{3}{2} [/tex]

Since time can't be negative, you rule out the -3/2.

Answer:

[tex]t = \frac{3}{2}[/tex]

If f(x) = 3x - 2, find f(4).

Answers

Answer:

10

Step-by-step explanation:

f(x) = 3x - 2

Let x=4

f(4) = 3*4 - 2

      =12-2

       =10

Answer:

10

Step-by-step explanation:

Replace 4 for all the x values and solve

f(4)=3(4)-2

f(4)=12-2

f(4)=10

Need help...with this graph

Answers

Answer:

The graph with coordinates x6,y8

Step-by-step explanation:

x^2 + 4x = 6
solve by completing the square plz show step by step

Answers

Answer:

x = -2 ±sqrt( 10)

Step-by-step explanation:

x^2 + 4x = 6

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2 + 4x+4 = 6+4

Take the 4/2 term which is the factor inside the (x+   )^2

(x+2)^2 = 10

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 10)

x+2 = ±sqrt( 10)

Subtract 2 from each side

x+2-2 = -2±sqrt( 10)

x = -2 ±sqrt( 10)

Answer:

x= +/- \sqrt(10) - 2

Step-by-step explanation:

use the formula (b/2) in order to create a new term.

Solve for x by using the term to complete the square.

Plz do it for meee x

Answers

Answer:

2,400cm²

Step-by-step explanation:

FORMULA FOR VOLUME OF A CUBOID = L×B× H

WHERE L is LENGTH =20cm

B=15cm

H= 8cm

:• VOLUME=20cm ×15cm ×8cm

=2,400cm²

Answer:

Volume = 2400 cm³

Step-by-step explanation:

Volume of Cuboid = [tex]Length*Width*Height[/tex]

Where L = 20 cm, W = 8 cm and H = 15 cm

Volume = [tex]20*8*15[/tex]

Volume = 2400 cm³

Which parabola will have one real solution with the line y = x – 5? y = x2 + x – 4 y = x2 + 2x – 1 y = x2 + 6x + 9 y = x2 + 7x + 4

Answers

Answer:

y = x² + 7x + 4

Step-by-step explanation:

First option

System of equations:

y = x² + x – 4

y = x – 5

Replacing:

x - 5 = x² + x – 4

0 = x² + x – 4 - x + 5

0 = x² + 1

Discriminant:

b²-4*a*c

0²-4*1*1

-4 < 0   then the equation has no real roots

Second option

System of equations:

y = x² + 2x – 1

y = x – 5

Replacing:

x - 5 = x² + 2x – 1

0 = x² + 2x - 1  - x + 5

0 = x² + x + 4

Discriminant:

b²-4*a*c

1²-4*1*4

-15 < 0   then the equation has no real roots

Third option

System of equations:

y = x² + 6x + 9

y = x – 5

Replacing:

x - 5 = x² + 6x + 9

0 = x² + 6x + 9  - x + 5

0 = x² + 5x + 4

Discriminant:

b²-4*a*c

5²-4*1*4

9 > 0 then the equation has two different real roots

Fourth option

System of equations:

y = x² + 7x + 4

y = x – 5

Replacing:

x - 5 = x² + 7x + 4

0 = x² + 7x + 4 - x + 5

0 = x² + 6x + 9

Discriminant:

b²-4*a*c

6²-4*1*9

0  then the equation has one real root

Answer: y = x² + 7x + 4

Step-by-step explanation:

Trust

HELP PLEASE THANKS
Solve N = 3pg^2 - 2pv for v.

Answers

[tex]N=3pg^2-2pv\\\\N+2pv=3pg^2\\\\2pv=3pg^2-N\\\\v=\dfrac{3pg^2-N}{2p}[/tex]

13. If 3 times a number minus 2 equals 13, what is the number?
A. 4
old
B. -6
OOOO
C.5
D.2

Answers

Answer:

5

Step-by-step explanation:

Answer:

The number is 5

Step-by-step explanation:

3x -2 = 13

Add 2 to each side

3x-2+2 = 13+2

3x = 15

Divide each side by 3

3x/3 = 15/3

x = 5

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?
(5 – 7)2
(5)2 – 7
(5)2(5 – 7)
(5 – 7)x2

Answers

Answer:

Option A.

Step-by-step explanation:

The given question is incomplete. Let as consider we need to find [tex](g\circ h)(5)[/tex]

The given functions are  

[tex]h(x)=x-7[/tex]

[tex]g(x)=x^2[/tex]

We need to find the expression for [tex](g\circ h)(5)[/tex].

[tex](g\circ h)(5)=g(h(5))[/tex]

[tex](g\circ h)(5)=g(5-7)[/tex]         [tex][\because h(x)=x-7][/tex]

[tex](g\circ h)(5)=(5-7)^2[/tex]         [tex][\because g(x)=x^2][/tex]

Therefore, the correct option is A.

Slope=8/5, y-intercept =-4

Answers

Y=8/5x-4 this is the information in slope intercept form.

Hope this helps!

What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for π.)

Answers

The right answer is 113.04cm^3

please see the attached picture for full solution

hope it helps

good luck on your assignment

Answer:

113.04

Step-by-step explanation:

→The formula for the volume of a sphere is:

[tex]V = \frac{4}{3} (3.14)r^3[/tex]

→The "r," is the radius, which is already given as 3.

[tex]V = \frac{4}{3} (3.14)3^3[/tex]

V = 113.04

Choose EVERY true proportion.
AB - DE
OAB - AC
AB - BO
BD
AC
BC
DE

Answers

Answer:

Step-by-step explanation:

I think its 2 and 4.

Area of a triangle (picture provided)

Answers

Answer:

C

Step-by-step explanation:

The area of triangles is 1/2 x b x h.

Plug them in!

1/2 x 24 x 35

Simplify.

12 x 35

420 square inches

Plz help asap, shdhhshdhshxh

Answers

Answer:

The measure of angle 2 is 38 degrees

Step-by-step explanation:

38 degrees and angle 6 are vertical angles and are equivalent. Angle 6 and 2 are alternate interior angles meaning that they are also equivalent. So the angle of measure 2 must be 38 degrees.

Answer: 38 degrees

Step-by-step explanation: angle 8 is an exterior angle to angle 4. Angle 4 is vertical to angle 2 so the answer would be 38 degrees.

HOPE THIS HELPS

Find the value of x in each case. Give reasons to justify your solutions! NEEDED ASAP

Answers

Answer:

( x = 17° )

Step-by-step explanation:

Consider the following steps;

[tex]m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )[/tex]

Solution ; ( x = 17° )

Use mathematical
reasoning to explain how
someone can predict the
number of people that will
become infected based on
the number of days in
school.

Answers

Answer:

This is a pretty broad question but im guessing you could use math to calculate how many people would get infected each day. You could start with

Ex.

Okay if we have one infected person how many people could they possibly pass the illness onto the next day. Well if they have x number of classes and see y number of people in those classes whats the PROBABILIITY one of those people gets the virus. Than you could calculate how many people will get infected the NEXT day.

Greyson finances a car for $19,000. There is an additional $750 in fees, making the APR 5.95%. The interest rate on the loan is
a) 2.5%
b) 1.5%
c) 2.0%
d) 3.0%

Answers

c) 2.0% this is the correct answer right here and Ik for sure

Nelson decides to invest $1,000,000 in a period annuity that earns 4.8% APR

compounded monthly for a period of 15 years. How many years will it take

Nelson to earn back his initial investment?

Answers

Answer:

21years

Step-by-step explanation:

Amount invested by Nelson = $1,000,000

Interest rate per month = 4.8%

Simple Interest = Principal * Rate * Time/100

simple Interest = $1,000,000 * 4.8 *(1/12)/100

simple Interest = $1,000,000 * 4.8/1200

simple interest = $4,000/ month

Simple interest for one year = $4,000*12 = $48,000

In order to determine the number of years it will take Nelson to earn back his initial investment, we will divide its initial investment by the interest earned on the investment yearly as shown;

amount of years =  $1,000,000/ $48,000

Amount of years = 20.8years ≈ 21years

10.7 years

Step-by-step explanation:

hope this helps

if w = 54 what is the value of x

Answers

Answer:

i think it's like this

Step-by-step explanation:

w+7x+3x=180

w+10x=180

54+10x=180

10x=180-54

10x=126

x=126-10

x=116

Answer=116

I hope it's right :)

which choice is equivalent to the quotient shown here when x>0

Answers

Answer:

D

Step-by-step explanation:

Answer:

C. x sqrt 5

I hope this helps! I just took the quiz

what is the volume of the prism to the nearest whole unit?

Answers

Answer:

715 in^3; Option D

Step-by-step explanation:

We know that the basic formula for most 3 - dimensional figures is to multiply the base by height. Here the base consists of dimensions 13 by 11, with height 5 inches so that the volume of this rectangular prism can be calculated through the following procedure;

[tex]Base - 13 in * 11 in = 143 in * in = 143 square inches,\\Height - 5 inches,\\Volume of Rectangular Prism - Base * Height = 143 square inches * 5 inches = 715 cubic inches / 715 in^3\\\\Solution; 715 in^3[/tex]

Volume of Prism ⇒ 715 in^3; Option D

AB is included between

A. BC and AC
B. C. < A and D. AB and BC

Answers

Answer:

Option C.

Step-by-step explanation:

By the property of unique triangles (ASA), one side is included between the two angles.

By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.

Therefore, [tex]\bar{AB}[/tex] is included between ∠A and ∠B.

Option C. will be the answer.

What is the Product?

Answers

Answer:

C

-9,-8 and 2,0

Step-by-step explanation

edge 2021

A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Everyone liked at least one sport except 7 kids, which doesn't like any of these three kind of sports. 12 children liked Chess and Football but not Swimming, 16 children liked Chess and Swimming but not Football, 8 children liked Swimming and Football but not Chess, 10 children liked Chess only, 40 children liked Swimming, 32 student liked Football.
a)Find the number of kids who liked Swimming and Football.
b)What is the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
c)What is the probability that a randomly-chosen child from this group does not like active kinds of sport?

Answers

Answer:

see below

Step-by-step explanation:

Let C = chess

S = swimming

F = football

x = football only

y = all three sports

z = swimming only

x+y+ 8+12 = 32  those who like football

y+z+8+16 = 40  those who like swimming

7+x+8+y+12+10+16+z = 72  all children

Simplifying these equations

x+y = 32-20 = 12

y+z = 40-24 = 16

x+y +z = 72-53 = 19

Substituting x+y = 12 into the last equation

12 +z = 19

z = 7

y+z = 16  

y = 9

x+y =12

x =5

Swimming  only is 7

Football only is 5

Swimming and football y+8 = 9+8 = 17

P( chess or swimming but not football) = (10+16+z)/ total

                                                                 =(10+16+7)/ total

                                                                 =33/72

P( no  active sport) = chess only or no sport/total

                                 =(10+7)/72

                                                                 

Which of the following does the graph show?

Answers

Answer:

4, D, or fourth option

Step-by-step explanation:

if x was 3, it would be greater

Answer:

thw last one

Step-by-step explanation:

the circle is colored in so it has to be more than or equal to/ less than or equal to ( basically the sign will have a line under it) and then the sign should be pointing the direction the arrow is pointing


Which equation correctly represents the distance between - 15.1 and -3.9 on a number line?
- 3.9 - (-15.1)] = 11.2
-3.9 - 15.1 = -11.2
|- 15.2 + (-3.9) |= 19
-15.1 - 3.9 = -19

Answers

Answer:

Step-by-step explanation:

Keep in mind that distance is positive, not negative.  Eliminate the negative results.

- 3.9 - (-15.1)] = 11.2 is correct.  -(-15.1) - 3.9 is approximately 15 - 4, or 11, which agrees with the 11.2 correct result.

Suppose a normal distribution has a mean of 38 and a standard deviation of
2. What is the probability that a data value is between 36 and 43? Round your
answer to the nearest tenth of a percent.
A. 56.5%
B. 62.5%
C. 83.5%
D. 77.5%
SUBMIT

Answers

Answer:

C. 83.5%

Step-by-step explanation:

-1 < z < 2.5

0.9938-0.1587 = 0.8351

83.5%

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