A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height of 8 cm. The pyramid has a height of 14 cm. Find the volume of the composite space figure.

Answers

Answer 1

Answer:

1,216 cm³

Step-by-step explanation:

Volume (composite space figure) = Volume (pyramid) + volume (prism)

⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]⇒ 96 [14/3 + 8]⇒ 96 [14/3 + 24/3]⇒ 96 x 38/3⇒ 32 x 38⇒ 1,216 cm³

Related Questions

In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284?

29,831

42,938

298,893

326,894



HELP PLEASE!!!!!!!!

Answers

Answer:

42,938

Step-by-step explanation:

42 938

- the digit 2 in 135,284 is in the hundreds and the digit 2 in 42938 is the thousands digit.

Answer:

Step-by-step explanation:

The value of the 2 in 135,284 is 200 or in the hundreds column

The value of the 2 in 42,938 is 2000

The value of the 2 in the bottomnumber is 10 times larger than the value of the 2 in the first  number..

Graph y=-3x+4 slope intercept

Answers

Answer:

Check the attachment.

Step-by-step explanation:

1) Create a table. Substitute the [tex]x[/tex] values into the this: [tex]y=-3x+4[/tex].

[tex]x[/tex]: 0, 1, 2

[tex]y[/tex]: 4, 1, -2

2) Plot the coordinates on the graph and draw a line from one point to the other. Make sure you extend the line, and add the equation beside the line drawn. Check the attachment for a better visual.

There are 57 people touring the mooresville zoo. The wagons at the zoo can only carry 7 people. How many wagons will this group need for their tour?

Answers

9 wagons. 7 goes into 57 eight times with a remainder of 1 therefore you’ll need 9 wagons.
57 / 7 = 8.1
Since you can’t have 0.1 of a wagon, you would need to have 9 wagons to fit everyone.
Answer: 9 wagons

Find the value of (110) base two leaving your answer in base two

Answers

[tex](110)_{2} = (1 \times 2^2 + 1 \times 2^1 + 0 \times 2^ 0)_{10}\\\\~~~~~~~~~~=(4+2+0)_{10}\\\\~~~~~~~~~~=(6)_{10}[/tex]

Segments that join oppsoite vertices in a quadrilateral are called what

Answers

Answer:

Diagonal, I'm 90% sure it is at least!!

In a jar of 250 jelly beans, a random sample of 25 is pulled. In the random sample, 15 of the jelly beans are red. How many jelly beans are likely to be red in the entire jar?

Answers

150 jelly beans are most likely to be red
You can multiply both numbers by ten
150 red jellybeans
15/25=x/250
25x10=250
15x10=150

The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?

Answers

Answer:

The answer that I got is 320

Step-by-step explanation:

multiply 16 and 6 then 16 and 8 then 8 and 6 and then 8 and 6 again then add them all up to get 320

Determine which solution is correct for solving

Answers

Answer:

3rd  option

Step-by-step explanation:

[tex]\frac{5}{7}[/tex] y = 6

multiply both sides by [tex]\frac{7}{5}[/tex] , the reciprocal of [tex]\frac{5}{7}[/tex] )

[tex]\frac{7}{5}[/tex] ( [tex]\frac{5}{7}[/tex] y ) = [tex]\frac{7}{5}[/tex] (6) , that is

y = [tex]\frac{42}{5}[/tex]

What is the value of a if 3(a − 5) = 2(a +5)?

Answers

Answer:

a= 25

Step-by-step explanation:

STEPS FOR SOLVING LINEAR EQUATION

3(a−5)=2(a+5)

Use the distributive property to multiply 3 by a−5.

3a−15=2(a+5)

Use the distributive property to multiply 2 by a+5.

3a−15=2a+10

Subtract 2a from both sides.

3a−15−2a=10

Combine 3a and −2a to get a.

a−15=10

Add 15 to both sides.

a=10+15

Add 10 and 15 to get 25.

a=25

(I searched it and I checked it)

NO LINKS WHATSOEVER!!! SPAMMERS WILL BE IMMEDIATELY REPORTED!!! NO BOTS!!! NO COPYING OFF WEBSITES!!! USE YOUR OWN BRAIN!!! A gardener plants a row of eight trees chosen from three maples, two oaks, and four birches. In how many ways can he plant the row?

Answers

Answer:

13 i got it right on khan

Step-by-step explanation:

What is 50 of 110? my work is due tommro

Answers

Answer:

55

Step-by-step explanation:

♡♡♡♡

Which point is not on the graph of the function y = x - 1?



(9, 8)
(8, 7)
(5, 6)
(4, 3)

Answers

Answer:

C. (5,6)

Step-by-step explanation:

Hope this helps. please give brainliest

The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 23 different months.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 35 °F.
Note that you can use the graphing tools to help you approximate the line.

Answers

1. The equation of the line of best fit is: y = -1.15x + 102.8

2. Using the equation of the line of best fit, the predicted cost is: $62.55

What is the Equation of a Line of Best Fit?

The equation of a line of best fit is represented by the equation, y = mx + b, where m is the slope and b is the initial value.

1. Using two points, (72, 20) and (20, 80):

Slope (m) = change in y / change in x = (80 - 20)/(20 - 72) = 60/-52

Slope (m) = -1.15.

Substitute m = -3 and (a, b) = (72, 20) into y - b = m(x - a)

y - 20 = -1.15(x - 72)

y - 20 = -1.15x + 82.8

y = -1.15x + 82.8 + 20

y = -1.15x + 102.8

The equation of the best line of fit is y = -1.15x + 102.8.

2. Monthly heating cost, y, for a month with an average temperature of 35°F (x) will be calculated by substituting x = 35 into y = -1.15x + 102.8.

y = -1.15(35) + 102.8

y = 62.55

The predicted monthly cost is $62.55.

Learn more about the line of best fit on:

https://brainly.com/question/17261411

120 students are surveyed and 15% of them are interrested in a career in information technology what is the total number of students interrested in this career

Answers

Answer:

18

Step-by-step explanation:

15% of 120 is 18

How many significant figures are represented in 0.00509?

Answers

Answer:

there are three significant numbers

Answer:

three

Step-by-step explanation: 0.00509; the first three zeros are not significant since they come before a non-zero number, the final three digits are significant

what is inbetween 120 and 140​

Answers

Answer:

130

Step-by-step explanation:

In the middle is   (120 + 140)/2 = 130    (this is the average of these two numbers)

121    122    123   124.....138, 139   are all 'in between'

Answer:

130

Step-by-step explanation:

It's kinda like half, for example, 1 through 10, and there would a five in the middle, it's like halfway done with something.


¿Qué número dividido entre 4 es igual a 60

Answers

Answer:

240

Step-by-step explanation:

60 = 1/4 of x

so: x = 60*4

x = 240

check:

240/4 = 60

60 = 60 true!!

Answer:

240÷4=60

Step-by-step explanation:

docientos cuarenta dividido entre cuatro es igual a sesenta.

Evaluate: (5x)3 when x = 2

0 1,000
O 40
O 30
O 250

Answers

Answer:

c so the anwer is 30 ...............

Answer:

A) 1000

Step-by-step explanation:

(5x)³

Substitute value.

(5 * 2)³

Multiply inside parenthesis.

(10)³

Evaluate.

1000

A zoo randomly sampled four groups of 100 people on what their favorite type of bear is. This data shows the results of the four samples. ​

Answers

The answer is 1437. You need to find the average % of people preferring the polar bears, and then x it by the total number of visitors.

Answer:

The Answer is 1555

Step-by-step explanation:

I took the test

Okie help help help math math

Answers

Answer:

the answer is x>5 please. rate. me. brainliest

Answer:

x>3

x greater then 3 ..........

-
In the monthly payment formula M =
for rif the interest rate is 6.3%?
Pr(1+r)"
(1+r)n-1'
what value would you put
A. 0.0063
B. 0.00525
C. 0.525
D. 6.3

Answers

The value that would be put for r is; 0.063

Interest rates

We are given the monthly payment formula for present value as;

M = (Pr(1 + r)ⁿ)/(1 - r) - 1

Where;

P is Present Value

r is interest rate

n is number of times compounded

Now, we are told the interest rate is given as 6.3% and so we can write that; r = 6.3/100 = 0.063

Read more about interest rates at; https://brainly.com/question/1115815

Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.

–2.11
–1.86
–0.25
0.25
2.11

Answers

The approximate solutions for x when f(x) = 0 are -0.25, -1.86, and 2.11.
The given function is:
f(x)=x^3-4x-1
What is the solution to an equation?
The solution to an equation is the point where the function value becomes zero.
As we know when f(a).f(b) <0, the root lies in between a and b.
f(-1) = 2
f(0) = -1
f(-1).f(0) = -2
So a solution will lie in between (-1,0).
Similarly,
f(-3) = -ve
f(-2)= -ve
No solution in between -3 and -2
f(-2) = -ve
f(-1) = +ve
One solution in between -2 and -1 i.e. -1.86
f(0) = -ve
f(1) = -ve
No solution in between 0 and 1
f(1) = -ve
f(2) = -ve
No solution in between 1 and 2.
f(2) = -ve
f(3) = +ve
One solution in between 2 and 3 i.e. 2.11
Therefore, the approximate solutions for x are -0.25, -1.86, and 2.11.

The roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.

What is the solution of the polynomial?

Let a, b, c, and d be the zeroes of the polynomial and k be the leading coefficient.

Then the polynomial is given as,

⇒ k(x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

The zeroes of the polynomial are the intersection points of the curve with the x-axis.

The graph of the polynomial is drawn below.

From the graph, the roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.

More about the polynomial link is given below.

https://brainly.com/question/11536910

#SPJ7

List the names of all the angles in the figure below. Be sure to use the appropiate angle symbol when naming the angles.

Answers

Answer:

right angle,supplementary angle,reflex angle e.t.c

What is the explicit formula for this geometric sequence?

8, 4, 2, 1, …


Answers

Answer:

[tex]a_{n} = \frac{8}{2^{n-1} }[/tex]

Step-by-step explanation:

A geometric sequence has a constant ratio (r) and is defined by:

[tex]a_n=a_1r^{n-1}[/tex]

Since the first value is 8, [tex]a_{1}[/tex] = 8.

[tex]a_n=8r^{n-1}[/tex]

We can also see that a_n is double that of the next value in the sequence [tex](a_{n} = 2a_{n+1}})[/tex], hence r = 1/2

[tex]a_n=8\left(\frac{1}{2}\right)^{n-1}[/tex]   or

[tex]a_{n} = \frac{8}{2^{n-1} }[/tex]

Mark as BRAINLIEST:)
The graph of a function h is shown below.
Find h(-4).

Answers

Answer:

(-4, 1)

Step-by-step explanation:

all you have to do is see where x is -4 and where the parabola crosses when x is -4


Shade one more square so that this pattern has rotational symmetry of order 2.giving magnificent amount of points

Answers

Step-by-step explanation:

second colum third row ....

{(x, y): y= 3x + 2| and xe (-2, -1, 0, 1, 2)).
(-2,__)


12
3
0

Answers

It looks like you're given a set

{(x, y) : y = 3x + 2}

i.e. the set of points (x, y) = (x, 3x + 2), and you're told that x is taken from the set {-2, -1, 0, 1, 2}.

When x = -2, the corresponding value of y is

y = 3•(-2) + 2 = -6 + 2 = -4

WILL GIVE BRAINLEST! Pls answer fast :)

An oil company uses cylindrical storage tanks. Each tank has a radius of 14 ft and is 27 ft tall.

What is the volume of a tank?

Answers

Answer:

C. 5,292[tex]\pi[/tex]ft²

Step-by-step explanation:

V=[tex]\pi r^2h[/tex]

V=[tex]\pi *14^2 *27[/tex]

[tex]14^2*27= 5,292[/tex]

Answer is C. 5,292[tex]\pi[/tex]ft²

Hope this helps! Have a good day! :)

Answer:

c

Step-by-step explanation:

hope this helps have a nice day:)

What is the range for y=-3x^2-12x-17?
PLEASE ANSWER I WILL GIVE OUT FREE MORE POINT AND MARK BRAINIST ONLY IF YOU GOT IT RIGHT THO I WILL CHECK ! PLEASE AND THANK YOU :))))

Answers

Answer:

RANGE: y greater than or equal to -5 (b)

Graph the function

Attached

Vertex at (-2,-5)

Then

y=-(3x²+12x+17)y=-(9x²+36x+51)y=-[(3x)²+2(3x)(6)+51-25+25]y=-[(3x)²+2(3x)(6)+36+25]y=-[(3x+6)²+25]y=-[(3x+6)²+5²]

We know

a²+b²=(a-b)²+2ab

Vertex form of parabola

a(x-h)²+k

vertex:-

(h,k)=(-2,-5)

Range:-

y≤-5

Hi pls help me guys help me this is my last chance pls guys help Use the data in the table to estimate the likelihood that a person has each eye
color. Which statement is not true?

Answers

Answer:

C. The likelihood of having brown eyes is 35%

Step-by-step explanation:

Add the total number of people, which gives you 50.

To find the percent of brown-eyed people out of 50, divide 35 by 50, then multiply the result (0.7) by 100 to get 70%.

70% of people are brown-eyed, thus, C is a false statement.

Answer:

the answer is C

Step-by-step explanation:

the brown eyes would be 70 percent actually

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