Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4\text{ in}10.4 in and the height of the pyramid is 9.6\text{ in}9.6 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer 1

Answer:

21.6in^3

Step-by-step explanation:

\text{Volume of Pyramid:}

Volume of Pyramid:

V=\frac{1}{3}Bh

V=  

3

1

​  

Bh

Where B is the area of the base

\text{Perimeter of base}:

Perimeter of base:

\,\,10.4

10.4

\text{Side length of base}:

Side length of base:

\,\,\frac{10.4}{4}=2.6

4

10.4

​  

=2.6

Divide perimeter of square by 4 to get side length

\text{Area of base}:

Area of base:

\,\,2.6^2=6.76

2.6  

2

=6.76

Area of a square is s^2

B=

B=

\,\,6.76

6.76

h=

h=

\,\,9.6

9.6

given

V=

V=

\,\,\frac{1}{3}Bh

3

1

​  

Bh

V=

V=

\,\,\frac{1}{3}(6.76)(9.6)

3

1

​  

(6.76)(9.6)

Plug in

V=

V=

\,\,21.632

21.632

V\approx

V≈

\,\,21.6\text{ in}^3

21.6 in  

3


Related Questions

Last year there were 750 students enrolled in Park School, but this year there are only 685 students enrolled. What is the percent of decrease? Round to the nearest tenth.

Answers

Answer:

91 (1/3)

Step-by-step explanation:

first do 750 / 100 becuase thats is 100%

the answer to 750 / 100 is 7.5 then take 7.5 what you do is 685 / 7.5 and you get the answer

Answer:

-8.6666666666667% decrease

Step-by-step explanation:

Please help will give brainliest


Small
Large
Blue 17
Red
8
3
12
?
Find: P(Red and Small)
Remember to reduce your answer.

Answers

Answer:

3/10

Step-by-step explanation:

Remark

The denominator of the probability is the entire amount present. Just add

Denominator

Blue/Large      17

Red/Large        8

Small                3

Red Small      12

Total               40

Red / Small

P(red/small) = 12 / 40

P(red/Small)  = 3 / 10

Curts kite is 36 yards above the ground and directly above the tree. The length of the string from Curt to the kite is 49 yards. How far is Curt from the tree?

Answers

Answer:

about 33.24 yards

Step-by-step explanation:

a² + b² = c²

so, 36² + b² = 49²

1296 + b² = 2401

b² = 1105

Take the square root of both sides..

b = 33.24 yards

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

= 110 g AgCl

Step-by-step explanation:

NaCl  +  Ag(NO3)  →   AgCl  +  NaNO3

         ↓                               ↑  

        mol           →           mol

      NaCl                         AgCl

[tex]\frac{45 g NaCl }{} \frac{1 mol NaCl}{57.44 g NaCl} \frac{1 mol AgCl}{1 mol NaCl } \frac{143.87 g AgCl}{1 mol AgCl} == 110 g AgCl[/tex]

Complete the square
to find the vertex
of this parabola.
2
x - 4y-12 x +68=0

Answers

Answer: (6,8)

Step-by-step explanation:

Answer:

(6, 8)

Step-by-step explanation:

Solve the rational equation:
1 1 1
x-2x+3 5
O A. X=-6.09, x= 5.09
B. There is no solution.
O C. x=-3.09, x= 2.09
D. X=-3, x= 2

Answers

This is A
………………. ……………

The solutions for the equation 23 - x² - 2x = 0 are:

x = 4

x = -6

Option A is the correct answer.

We have,

To solve the rational equation:

1/(x - 1) - 1/(x + 3) - 1/5 = 0

We need to find the common denominator and combine the fractions on the left-hand side.

The common denominator is (x - 1)(x + 3)(5).

Multiplying each term by the common denominator:

[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0

Simplifying:

[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0

[5x + 15 - 5x + 5 - (x² + 3x  - x - 3)] / [(x - 1)(x + 3)(5)] = 0

[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0

Simplifying further:

[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0

Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:

23 - x² - 2x = 0

To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:

x² + 2x - 23 = 0

Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:

The quadratic formula states that for an equation in the form

ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and

c = -23.

Substituting these values into the quadratic formula:

x = (-2 ± √(2² - 4(1)(-23))) / (2(1))

Simplifying:

x = (-2 ± √(4 + 92)) / 2

x = (-2 ± √96) / 2

x = (-2 ± 4√6) / 2

Simplifying further:

x = -1 ± 2√6

Therefore,

The solutions for the equation 23 - x² - 2x = 0 are:

x = -1 + 2√6 = 3.89 = 4

x = -1 - 2√6 = -5.89 = -6

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

2. A movie theater charges $15 for adults and children and $10 for seniors. A
total of $1,270 was collected for movie ticket sales one night for a selected
movie. The total number of tickets sold for that movie was 93. How many
adult and senior tickets were sold?

b. Write the equations:

Answers

Answer:

A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93

Step-by-step explanation:

15a + 10s =1270 equation 1

a + s =93 equation 2

a=93-s. Isolate a for equation 2

15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in             equation 1

1395-15s+10s=1270

-5s=-125

S=25

solve for a

a + s =93

a + 25=93

a=68

‘check answer

15a + 10s=1270

15(68) + 10(25)=1270

1020+ 250=1270


What is the shape of y=x3?

Answers

Answer:

cubic

Step-by-step explanation:

y = x³  is a cubic shape  try graphing it

I need the answer pls, answer fast I am I s choool

Answers

Answer:

Hello! answer: D. 180

Step-by-step explanation:

What you do for these is find the surface area for each face separately then add them up so...

for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!

Answer:

180 in²

Step-by-step explanation:

To wrap the given box, we need to find the total surface area of the figure.

TSA of cuboid = 2 (lb + bh + hl)

= 2 { (6*8) + (8*3) + (3*6) }

= 2 ( 48 + 24 + 18 )

= 2 * 90

= 180 in²

Which BEST describes the system of equations graphed on a coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent

Answers

Answer:

D) Consistent and Independent

Answer:

D.consistent and independent

a bit of help here! Ill give branliest! :)

Answers

Answer:

whats the question?

Step-by-step explanation:

Can you please upload a question?There isn’t anything I can use to answer it sorry

A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8
inches. What is the height of the actual house?

Answers

Answer:

scale = 1 in: 5 ft

         = 1inch x 5 5/8  = 5.625

              5 ft x 5 5/8    28.125 ft

The actual height of the house is 28.125 ft

Lauren is making string bracelets with black and silver beads added in for decoration.

Black beads come in packages of 24, and silver beads come in packages of 36.
Each bracelet will have the same number of each color bead.
Lauren has one package of each bead color, and she will use all of the beads.
What is the greatest number of bracelets Lauren can make?

Answers

The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.

What is the greatest number of bracelets that can be made?

In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.

Highest common factor is the highest factor that is common to two or more numbers

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors of 36 = 1, 2, 3, 4, 6, 12, 18, 36 Highest common factor = 12

To learn more about highest common factor, please check: https://brainly.com/question/26073850

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Similar Triangles

A triangle has two angles measuring 90° and 50°, calculate the third angle of the triangle.

a. 50°
b. 40°
c. 45°
d. 75°

Please select the best answer from the choices provided

Answers

Answer:

B. 40°

Step-by-step explanation:

I calculated it logically

It is B I hope this helps

What is the volume of a cone with a radius of 8.7 inches and height of 14 inches? (Use 3.14
for N)

Answers

Answer:

1109.1cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14 ×8.7² × 14/3

what the the opposite of - 4.1 ?

Answers

the opposite of -4.1 would be 4.1

Answer:

The opposite of -4.1 is 4.1.

opposites are the same number but either with a + sign or a - sign

EX)

7, -7

5, -5

4, -4

Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 35% contain one defective component, and 15% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions?

a. Neither tested component is defective.
b. One of the two tested components is defective

Answers

Answer:

a) P (0 defective component) = 0.5

   P( 1 defective component ) = 0.35

    P( 2 defective component ) = 0.15

b) P( 0 ) = 0

   p ( 1 ) =  1

   p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( [tex]\frac{x=1}{x\geq 1}[/tex] ) = p( x = 1 ) / 1 - P ( x = 0 )

                                        = ( 0.5 )^1 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^1

                                        = 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 =  1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

                         = ( 0.5 )^2 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^2

                         = 0.25 / 0.75 = 0.33

Suppose $3500 is invested at a rate of 5% per year compounded monthly.

Answers

The answer is either 20 or 76

I need the answer pls fast

Answers

Answer:

B. 215cm^2

Step-by-step explanation:

180 + 35

Answer: B. 215

Step-by-step explanation:

I found the answer button.

The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.

Agree or Disagree? plz help no link plz

Answers

Answer:

Agree

Step-by-step explanation:

Joey opened a bank account 5 years ago with $100.
Today he has $1,000 in the account.
What is the percentage of increase?
_____%

Answers

$200 a year, for the last 5 years, equal $1,000. That is a 20% increase.

No random answers or links, please.

Answers

Answer:

1

Step-by-step explanation:

By question it's given that ,

=> h(x) = -x - 1

For finding h(-2) , substitute x = -2 .

=> h(-2) = -(-2)-1

=> h(-2) = 2 - 1

=> h(-2) = 1

Hence the required answer is 1.

Answer:

the ans is 1 hope ut may help u

Step-by-step explanation:

x=-2

x = -(-2) -1

x=2-1

x=+1

A company has 200 employees. There are 150 female employees. There are 40 employees who are under the age of 30. The probability
of randomly selecting an employee who is female or is under the age of 30 is 85%.
What is the probability of randomly selecting an employee who is female and under the age of 30?
O A 10%
O B. 20%
O c. 85%
OD. 95%

Answers

I think it’s B hope that helped

Answer:

c. 85 % is the probability

Jamal needs several feet of wood for a birdhouse
project. He already has 12 yards. How many feet are
in 12 yards?

Answers

Answer:

36

Step-by-step explanation:

multiple by the length value by 3

What is the correct answer I will mark brainlist

Answers

Answer:

3rd

Step-by-step explanation:

MARK AS BRAINLEST!!

The correct answer is C $87.73

ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?

Answers

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

90 mm ..................

Answer:

90 mm^2

Step-by-step explanation:

Divide it in 2 figures

Get the area of the one of 5 * 6 mm = 30mm^2

Then the one of 6 * 10 mm = 60 mm^2

Then just add it up. 90 mm^2

I need help please this isath i need my grade thx alot

Answers

Answer:

A, -475ft

Step-by-step explanation:

Answer: -475 ft

Step-by-step explanation: -95 x 5= -475

When factored completely, the expression p4 - 81 is equivalent to ....
1. (p2+9)(p2-9)
2. (p2-9)(p2-9)
3. (p2+9)(p+3)(p-3)
4. (p+3)(p-3)(p+3)(p-3)​

Answers

The answer is option 3 (p^2+9)(p+3)(p-3) because you use the difference of squares formula

Plz help me well mark brainliest if you are correct!!....

Answers

Answer:

9

Step-by-step explanation:

the two lines on either sign of each number indicate absolute value, which is the numbers value from 0 (on a number line). You turn -12 and -3 into 12 and 3 and subtract as normal.

|-12| - |-3| = 9
The absolute value of -12 is 12 and the absolute value of -3 is 3. So, |-12| - |-3| = 12 - 3 = 9
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The firms direct labor includes salaries of consultants that work at the clients job site, and its overhead consists of costs such as depreciation, utilities, and insurance related to the office headquarters as well as the office supplies that are consumed serving clients.Tech Solutions computes its predetermined overhead rate annually on the basis of direct labor-hours. At the beginning of the year, it estimated that 72,500 direct labor-hours would be required for the periods estimated level of client service. The company also estimated $652,500 of fixed overhead cost for the coming period and variable overhead of $0.50 per direct labor-hour. The firms actual overhead cost for the year was $671,800 and its actual total direct labor was 77,550 hours.Required:1. Compute the predetermined overhead rate.2. During the year, Tech Solutions started and completed the Xavier Company engagement. 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Yes, they are independent, because (girl) = 0.42 and girl playsa sport) - 0.42O c. No, they are not independent, because P(girl) = 0.42 andP(girl plays a sport) = 0.42.D. Yes, they are independent, because (girl) = 0.58 and P(girl playsa sport) = 0.58 2Which point on this number line best represents 10?point Apoint Bpoint C point D 5x - 2y = 152x + 4y = 12Select the solution to the system from the options below: