Find the volume, in cubic feet, of the composite solid below, which consists of a pyramid sitting on top of a cube. The pyramid has the same base as the cube.

Find The Volume, In Cubic Feet, Of The Composite Solid Below, Which Consists Of A Pyramid Sitting On

Answers

Answer 1

Answer:

2,112 ft³

Step-by-step explanation:

Volume of composite solid = volume of pyramid + volume of cube

✔️Volume of square pyramid = ⅓(a²)*h

Where,

a = 12 ft

h = 8 ft

Plug in the values

Volume of pyramid = ⅓(12²)*8 = 384 ft³

✔️Volume of cube = a³

Where,

a = 12 ft

Plug in the value

Volume of cube = 1728 ft³

✔️Volume of composite solid = 384 + 1728 = 2,112 ft³


Related Questions

Please help me I really need it!!!! Find the midpoint of BD.

Answers

Answer:

The midpoint of [tex]\overline{BD}[/tex] is [tex](\frac{a}{2},\frac{a}{2})[/tex].

Step-by-step explanation:

Consider the provided information.

We need to find the midpoint of [tex]\overline{BD}[/tex].

For this, we will use the midpoint formula: [tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Now put [tex](x_1,y_1)=(0,a)[/tex] and [tex](x_2,y_2)=(a,0)[/tex] in the above formula and solve for M.

[tex]M=(\frac{0+a}{2},\frac{a+0}{2})[/tex]

[tex]M=(\frac{a}{2},\frac{a}{2})[/tex]

Hence, the midpoint of [tex]\overline{BD}[/tex] is [tex](\frac{a}{2},\frac{a}{2})[/tex].

For an experiment, a scientist needs 1/2 cup baking soda for 4/5 liter of water. Using this ratio, how much baking soda is needed for one liter of water?

Answer choices-

4/10 cup


5/8 cup


8/5 cups


10/4 cups

Answers

Answer:

5/8 cup of baking powder.

Step-by-step explanation:

Hence, using the ration given in the above question:

4/5 liter of water = 1/2 cup of baking soda

1 liter of water = x cup of baking powder

Cross Multiply

4/5 liter of water × x cup of baking powder = 1 liter of water × 1/2cup of baking powder

x cup of baking powder = 1 liter of water × 1/2cup of baking powder/4/5 liter of water

x cup of baking powder = 1/2 ÷ 4/5

x cup of baking powder = 1/2 × 5/4

x cup of baking powder = 5/8 cup of baking powder.

Therefore,

5/8 cup of baking soda is needed for one liter of water.

6. What is the tens' digit of the largest 4-digit even number which uses each of the digits 5, 7, 8, and 9 exactly once?
A 9
B) 8
C) 7
D) 5​

Answers

Answer:

B)

Step-by-step explanation:

8 is even number which uses each of the digits exactly once.

Your student email account requires you to choose a password of 4 letters followed by one of the digits 0-9. The password can consist of upper case letters (26) or lower case letters (26).

How many different five-character passwords can be created?

Answers

Answer: 520

Step-by-step explanation:

Total choices for letters = upper case letters (26) + lower case letters (26).

= 26+26 = 52

Choices for digits = 10

By Fundamental counting principle,

The different five character passwords can be created = (Choices for letters) x (Choices for digits)

= 52 x  10

= 520

Hence, the number of different five character passwords can be created = 520

What is f(-2) if f(x) = 1/3x

Answers

f(x) = 1/3x, f(-2)

[tex] = \tt{ \dfrac{1}{3} ( - 2)}[/tex][tex] = \tt{( \dfrac{1}{3})( \dfrac{ - 2}{1}) }[/tex][tex] = \tt{ \dfrac{(1)( - 2)}{(3)(1)} }[/tex][tex] = \green{\boxed{\tt{{ \dfrac{ - 2}{3} }}}}[/tex]
f(x) = 1/3x

then f(-2) = 1/3(-2)
= -1/6

Reading and writing

Answers

Reading and Writing ✍

Write two different congruent statements that indicate the triangles in each pair are congruent( Odd number questions only)

Answers

Answer:

Step-by-step explanation:

17) HI ≅ UH   ;   GH  ≅  TU     ; GI  ≅ TH

ΔHGI  ≅ ΔUTH                by Side Side Side congruent

∠G  ≅  ∠T   ; GI  ≅  TH  ; ∠GIH  ≅ ∠THU

ΔHGI  ≅ ΔUTH                by Angel Side Angle congruent

19) IJ ≅ KD   ;  IK ≅ KC   ; KJ ≅ CD

ΔIJK ≅ ΔKDC             by Side Side Side congruent

∠J ≅ ∠D    ; IJ ≅ KD ;  ∠I ≅ ∠DKC

ΔIJK ≅ ΔKDC             by Angle Side Angle congruent


⚠️ANSWER NEEDED QUICK⚠️
*RIGHT ANSWER GETS BRAINLIEST*

Answers

Answer:

Try the third option

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

it just is lol

If the radius of a circle is 9 cm, what is the area of the circle?

Answers

Answer:

option B

Step-by-step explanation:

In terms of π

Area =πr²

Area=π×9²cm

Area=81π sq cm

Help find the answer

Answers

Answer:

1218

(14x25)x3=1050

because you have three sides

14x12=168 then 168+168=336

then add al together 1050+336=1 386

WELPPPPP IMMA FAILLLLLL

Answers

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

y = x^3 + 1 is a place in a linear graph.

If f(x) = 3x – 7 and g(x) = x2 – 5x + 5, then f(x) = g(x) for
what values of x?
a. x = 3 and x = 4
b. X = 6 and x = 2
c. x = -6 and x = -2
d. x = -3 and x = -4

Answers

Answer:

b

Step-by-step explanation:

3x - 7 = x² - 5x + 5

x² - 5x + 5 - 3x + 7 = 0

x² - 8x + 12 = 0

(x-6)(x-2)=0

x = 6

x = 2

Use the equation: y = 5x - 4 Write an equation in any form) of a line that passes through the point (-1,7) and is parallel to the original line. ​

Answers

Answer:

y = 5x + 12

Step-by-step explanation:

Use the formula: y - y1 = m(x - x1)

Plug in all numbers into your equation: y - 7 = 5(x - -1)

Minus with a minus becomes a positive: y - 7 = 5(x + 1)

Distribute:                    y - 7 = 5x + 5

Add 7 to both sides:      +7          +7

Answer: y = 5x + 12

Find the slope of the linear function.
12x = -10 + 2y
Slope =
Blank 1:

Answers

Answer:

y= 6x+ 5 hope this helps ! please give brainlist ):

Step-by-step explanation:

Jeremy can run 4 miles in 30 minutes. Kyle can run 7 miles in 48 minutes.
Who is the fastest? *

Answers

Kyle 4 divid by 30 =7.5 7 divide by 48 = 6.8 so Kyle

Is y=3/4x proportional?

Answers

Answer:

My answer is Yes

Step-by-step explanation:

Suppose x has a distribution with µ = 74 and σ = 8. If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?

Answers

Options :

No, the sample size is too small.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 1.5.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 6.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 0.4.

Answer:

No, the sample size is too small.

Step-by-step explanation:

Given that:

Mean, μ = 74

Standard deviation, σ = 8

Sample size, n = 16

Based on the information given, in other to be able to make inference on the x distribution of sample means, then the size of the sample of utmost importance in statistic. Large sample sizes (usually > 30) gives are always required as sampling distribution conform to the population distribution Inn terms of mean as the sample size grows larger as the distributon becomes approximately normal.

However, the sample size given above is well below 30.hence, making it difficult to say anything about the distribution of sample means

[6] Jessica sold one third of her records and then bought 84 more. She now has 178 records. How many records did Jessica begin with?​

Answers

Answer:

141 records

Step-by-step explanation:

Let the initial number be x

Sold 1/3x, and now has:

x - 1/3x = 2/3x

Bought 84 more and now got 178:

2/3x + 84 = 1782/3x = 94x = 94 ÷ 2/3x = 94 × 3/2x = 141

Jessica had 141 records initially

can anybody help please i will help them also if they help me

Answers

2- 54:81, 54/81
3- 0:101, 0/101
4- 13.5:43.8, 13.5/43.8

● For the polygon you are assigned, assume the radius is 1 unit . Round all answers to the nearest hundredth , if necessary.

1) Calculate the measure of each interior angle of your polygon. Be sure to show your work!

2) Use your knowledge of trigonometry to find the length of one side of your polygon. Be sure to show your work!

3) Use your knowledge of trigonometry to find the length of the apothem (the segment from the center to the midpoint of one side). Be sure to show your work!

4) Calculate the perimeter of your polygon. Be sure to show your work!

5) Calculate the area of your polygon by splitting it into congruent isosceles triangles. Be sure to show your work!

Answers

9514 1404 393

Answer:

  1) 135°

  2) 0.77 units

  3) 0.92 units

  4) 6.12 units

  5) 2.83 square units

Step-by-step explanation:

1) The exterior angle at any vertex is 360°/n, where n is the number of sides. For the octagon, the exterior angle is 360°/8 = 45°. The interior angle will be the supplement of this: 180° -45° = 135°.

The measure of each interior angle is 135°.

__

2) Each sector of the octagon is an isosceles triangle with a central angle of 45° (also 360°/8). Since the radius is 1 unit, the length of one side is twice the sine of half the central angle.

  s = 2·sin(45°/2) ≈ 0.765367

The length of one side is about 0.77 units.

__

3) Similarly, the apothem is the cosine of half the central angle:

  a = cos(45°/2) ≈ 0.923880

The apothem is about 0.92 units.

__

4) For an octagon, the perimeter is 8 times the length of one side.

  P = 8s = 8(0.765367) ≈ 6.12293

The perimeter is about 6.12 units.

__

5) The area of one sector (isosceles triangle) is given by the formula ...

  A = (1/2)bh

  A = 1/2sa ≈ 1/2(0.765367)(0.923880) ≈ 0.353553

Then the area of the octagon is 8 times this:

  A = 8(sector area) = 8(0.353553) ≈ 2.82843

The octagon area is about 2.83 square units.

Q#1: Suppose that you have two different algorithms for solving a problem. To solve a problem of size n, the first algorithm uses exactly n*exp1-[n+2n+3n+4n]/nlne(10) operations and the second algorithm uses exactly n! operations. As n grows, which algorithm uses fewer operations?

Answers

Answer:

The one of -[n+2n+3n+4n]/nlne(10) has fewer operations because the value of n is static.

The one of n! ( factorial ) is factorised up to n∞ hence has infinity operations.

Will give brainliest

Answers

Answer:

C

Step-by-step explanation:

Answer:

D = 4

Step-by-step explanation:

Find the distance from C to G.
4
86
7
64
3
32

Answers

Answer: 64/3

Step-by-step explanation:

Does Peyton Manning have a greater
passing ability in domes? After all,
inside a dome the weather is always
nice for throwing the ball! The
accompanying relative frequency
histograms show Manning’s 18 career
road performances inside a dome and
his 86 career performances outside
(through the 2010 season). In this
case, his performance is measured
with his passer rating, a combination
or passing yards, completion
percentage, number of touchdowns,
and number of interceptions. Only
road games are included because
Manning plays his home games in a dome and the benefit of playing in a dome would be impossible to separate
from the benefit of playing at home.
a. Briefly compare these distributions.
b. State the hypotheses we are interested in testing.
c. Manning’s mean passer rating in domes was 109.3 and his mean passer rating outside was 89.8, for a
difference (dome – outside) of 19.5. Describe how to simulate the distribution of this test statistic, assuming
that Manning’s ability is the same in both locations.

d. Here are the results of 100 trials of the simulation from part c. Describe what information is provided by the
dotplot.
e. Use the dotplot to estimate and interpret the p-value.
f. Using the p-value from part e, make an appropriate conclusion.
g. Is there is convincing evidence that Manning had a greater ability in domes, can we conclude that the dome is
the cause? Explain.

Answers

did u ever get the answers for it lol. i need help on it too

Answer:

ok so i had this for my stat class and i came on here to try and figure it out but didn't find any answers, so i just went ahead and tried it for myself. i'm not sure if i'm 100% correct, so if anyone knows the right answers leave a comment / post the right answers

ALSO my stat teacher gave us this exact assignment with these exact pictures so if ur gonna use these answers make sure you paraphrase them/reword them as best as you can

a) Briefly compare these distributions.

The distribution of passing ability for Manning’s passes in domes is relatively symmetrical while the distribution of his passes outside is skewed to the left. The distribution of outside performances varies slightly more than that of his performances within domes; outside performances vary from about 40-160 while performances in domes vary from about 60-160 (passer ratings).

b) State the hypotheses we are interested in testing.

H(o): Peyton Manning does not have a greater passing ability in domes than outside.

H(a): Peyton Manning has a greater passing ability in domes than outside.

c) Manning’s mean passer rating in domes was 109.3 and his mean passer rating outside was 89.8, for a difference (dome – outside) of 19.5. Describe how to simulate the distribution of this test statistic, assuming that Manning’s ability is the same in both locations.

1. Using 104 note cards, write each deviation on a different note card.

2. Shuffle the cards and divide them into two groups; one for passes outside, and one for passes within a dome.

3. Calculate and record the simulated difference (dome - outside) in standard deviation for the two types of pitches.

4. Repeat many times.

d. Here are the results of 100 trials of the simulation from part c. Describe what information is provided by the dotplot.

The dotplot illustrates the simulation repeated 100 times, with each dot representing a difference between the difference (dome - outside) for each individual simulation.

e) Use the dotplot to estimate and interpret the p-value.

Because there are no dots greater than or equal to our previously calculated difference of 19.5, the p-value = 0/100 = 0.

f) Using the p-value from part e, make an appropriate conclusion.

Since it is impossible (p = 0) to have a difference (dome - outside) in observed standard deviations of 19.5 or more by random chance alone when the true standard deviation of Manning’s passes was the same inside and outside a dome, there is convincing evidence that the true standard deviation of Manning’s passes was greater for his passes in a dome than outside a dome.

g) If there is convincing evidence that Manning had a greater ability in domes, can we conclude that the dome is the cause? Explain.

We can never 100% conclude that the dome is the primary cause of his better performance within domes. Other things like wind, crowd cheering, motivation, and teamwork could be some of the various causes of his better performance.

Step-by-step explanation:

In a survey of 2,900 people who owned a certain type of​ car, 1,740 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car

Answers

Answer:

60%

Step-by-step explanation:

1740 / 2900 = 0.6

The local fitness center is running two different monthly payment options to attract new customers. The options are shown below.

What is the rate of change for the plans and at what number of visits would the plans cost the same amount?

Answers

Answer: The rate is increasing upwards, if that is what you were asking?

Step-by-step explanation: Let me know if you need anything else, please :)

The rate of change for payment option 1 is 1 and for payment option 2 is 0.25.

At 4th visit the cost of both the plans will be same.

What is the slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

We know the slope m = (y₂ - y₁)/(x₂ - x₁).

Payment option 1 has two points (0, 2) and (2, 4).

Slope(m₁) = (4 - 2)/(2 - 0).

Slope(m₁) = 2/2

Slope(m₁) = 1.

4 = 2(1) + b.

b = 2.

y = x + 2.

Payment option 2 has,

$0.25 every visit is $(1/4) and it is the rate of change or the slope.

y = 0.25x + 5.

The number of visits when the cost will be equal is when we'll equate these two equations,

x + 2 = 0.25x + 5.

x - 0.25x = 5 - 2.

0.75x = 3.

x = 3/0.75.

x = 4.

At 4 visits the cost of each plan will be the same.

learn more about lines and slopes here :

https://brainly.com/question/16180119

#SPJ2

5. If m 6 = x, m 7 = x – 20, and m 11 = 80 then x =

Answers

Answer:

6

Step-by-step explanation:

Answer is there the value of this

How to find the perimeter of a triangle? An image is attached.

Answers

Answer:

18m³+2m²-m

Step-by-step explanation:

(5m³+3m²-2m)+(8m³-4m²+3m)=13m³-m²+m+(5m³+3m²-2m)=18m³+2m²-m

Solve.

z + 17 = 9

​−9


​−8


8

9

Answers

eight

Step-by-step explanation:

1. subract 17 -9 and you get

z= -8

-8+17=9

sry about that

Answer: -8

Step-by-step explanation:

To solve this, you would just plug the answers in the equation for Z and see which one makes sense and is accurate.

-8+17=9 is correct

Factorise the following:
x²-7x-30​

Answers

Answer:

x²-(10-3)x-30

x²-10x-3x-30

x(x-10)-3(x-10)

(x-3)(x-10)

Step-by-step explanation:

I hope this helps! Stay safe <3

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