Find the volume of the prism or compound shape.

Answers

Answer 1

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³.

How to determine the volume of the compound shape

The volume is the space occupied by an object. The volume of the compound shape equals the sum of the individual volumes, that is, of each part, which are represented by two hemispheres and a right cylinder.

Now we proceed to determine the volume of the compound shape (V), in cubic inches, by apply the following calculation:

V = (4/3) · π · (3 in)³ + π · (3 in)² · (10 in)

V = 66π in³

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/13338592

Related Questions

A
group of friends were working on a student film that had a budget of $1300.
They spent all their budget on equipment and props. They used 55% of their
budget on props. How much money did they spend on equipment?

Answers

Subtract it using a calculator is the best way. 1300-55%=715

im stuck hahahahahahha lol

Answers

Answer:

r=53 degrees

______

yan po

Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. She plans to rest when she has completed half of her trip. Is it time for Annie to rest? If it is not, what part of the trip does Annie still need to travel before she can rest?

Answers

No it's not time for her to rest.

She cannot test because she hasn't completed half. The fraction that's she has done will be:
= 2/7 + 1/8 = 23/56

The remaining fraction to complete half will be:
= 1/2 - 23/56
= 5/56

A circular table top has a radius of 75 cm. A force of 640 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.

Answers

The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.

Calculation of applied pressure on a surface

Pressure= force/area

Area of the circular table = πr²

where r = 75cm = 0.75m

Area of the circular table = 3.143 × 0.75 × 0.75

= 1.768m²

Force = 640 N

Pressure = 640/1.768

= 361.99

= 361.9 N/m² to 4 significant figures.

Learn more about pressure here:

https://brainly.com/question/25736513

PLEASE HELP WILL MARK BRAINLIST

If the ratio of the rectangular prisms' volumes is 1:8, what is j?

Answers

1:8 means the pink one is 8 times larger than the blue one. Like, 1 pink one cosists of 8 blue ones. So,
2 * 8 = 16

Line a is perpinduclar to Line B. If the slope of Line A is 3/7 what is the slope of Line B?

Answers

Answer:

slope = - 7/3

Step-by-step explanation:

Slope of a line = m

perpindicular slope = - 1/m

-1 / ( 3/7) = - 7/3

PLEASE HELP ASAP LOOK AT PICTURE!!!

Answers

Answer is a look at y and it is the only answer that makes sense due to increase exponentionally in y while X is in 3a

can you please help me??

Answers

5% = .05 = R
50% = .5 = O
100% = 1 = E
2% = 1/50 = V
55% = .55 = T
20% = 1/5 = N
1% = 1/100 = C

An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 3 1/2 hours?

Answers

2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

Please help me with this please and thank you please actually help me

Answers

Step-by-step explanation:

f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2

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

f(0) = 4(2)⁰ = 4×1 = 4

(x, f(x)) = (0, 4)

f(1) = 4(2)¹ = 4×2 = 8

(x, f(x)) = (1, 8)

f(2) = 4(2)² = 4×4 = 16

(x, f(x)) = (2, 16)

Calculate the side lengths using the given scale.

Answers

Answer:

x= 5× 17

= 85milimetres

y= 65÷ 5

=13milimetres

Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.

Answers

The boxes in the grocery store is an illustration of an arithmetic sequence

The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week

How to determine the explicit rule?

The arithmetic sequence can be represented as:

32, 56, 80.......

Calculate the common difference (d)

d = 80 - 56 = 24

An arithmetic sequence is represented as

f(n) = a + (n -1) * d.

So, we have

f(n) = 32 + (n - 1) * 24

The number of box in the 12th week.

This means that n = 12.

So, we have

f(12) = 32 +(12-1)*24

Evaluate

f(12) = 296

Hence, there are 296 boxes in the 12th week

Read more about arithmetic sequence at:

https://brainly.com/question/6561461

What is the area of a circle whose radius is 6 ft?

6π ft²

9π ft²

36π ft²

72π ft²

Answers

Answer:

36π ft²

Step-by-step explanation:

Check out the attached photo

100 POINTS PLEASE HURRY

Answers

5.80^3 is your answer

Answer:

5.80^3‎‎‎‎‎‎‎‎‎‎‎‎‎‎

3. can you subtract a binomial from another binomial and end up with a monomial? explain.

b) can you add monomial and end up with a binomial? explain

Answers

Answer:

Yes

Step-by-step explanation:

Let's pick 2 bionomials for this proof.

(3x+4) and (2x-4)

If we subtract (2x-4) from (3x+4) we will be left with x to the first power, which is a monimal.

So yes, you can subtract a binomial from another binomial and get a monomial.

Hope this helps!

A helicopter is flying at an altitude of 306 meters, at an angle of depression of 38° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.

Answers

Answer:

497 m

Step-by-step explanation:

Use tigonometry to find the value of d

sine = opposite side / hypotenuse306/d = sin 38°d =306/sin 38° d = 497 m (rounded)

Answer:

497 m (nearest whole number)

Step-by-step explanation:

As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.

Sine trigonometric ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

From inspection of the given diagram:

[tex]\theta[/tex] = 38°O = 306 mH = d

Substitute the values into the formula and solve for d:

[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]

[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]

[tex]\implies \sf H=497.0263891...[/tex]

Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 99%, σ is not known, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown.

Answers

Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.

When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.

In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.

Using a t-distribution calculator, considering a confidence level of 99% and 56 - 1 = 55 df, the critical value is t = 2.6682.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. ZRTP and ZATB
B. ZDTN and ZATP
C. ZATN and ZRTD
D. ZBTD and ZATP

Answers

Answer:

C & D because vertical angles have the same measures and thoses angles intersects each other

Step-by-step explanation:

I NEED THIS ANSWER IN THE NEXT 10 MINUTES

Answers

Answer:

Step-by-step explanation:

Consecutive integers are integers with the progression n, n+1, n+2 (EXAMPLE)

Since w, x, y are consecutive integers, that means w, w+1, w+2; x = w+1, y = w+2

By referring to D,

w + x + y = w + w+1 + w+2

= 3w + 3

Hence, D is true.

Answer:

Step-by-step explanation:

A is wrong because if w is -1, x is 0, and y is 1, then wy is negative.

B is wrong because if w is -1, x is 0, and y is 1, then -1 + 1 = 0, which is x.

C is wrong because if w is -1, x is 0, and y is 1, then w³ + 3 = -1 + 3 = 2, which is greater than w + x + y which is 0.

D is correct because w + x + y is always equal to 3w + 3. For example, if w is 1, x is 2, and y is 3, then w + x + y = 6. 3w + 3 = 3(1) + 3 = 6.

E is wrong because if w is 1, x is 2, and y is 3, then wx is 2 and xy is 6, which means xy is greater than wx.

I hope this helps and please mark me as brainliest!

For each diagram below, write and solve an equation for x .

Answers

Answer:

x = 100 , x = 3

Step-by-step explanation:

(a)

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the angles and equate to 540

x + x + 125 + 125 + 90 = 540 , that is

2x + 340 = 540 ( subtract 340 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

(b)

the 2 given angles are alternate exterior angles and are congruent , then

6x + 18 = 2x + 30 ( subtract 2x from both sides )

4x + 18 = 30 ( subtract 18 from both sides )

4x = 12 ( divide both sides by 4 )

x = 3

help please 4(2x-1)+3=8x+1

Answers

hello!

Use the distributive property:-

4(2x-1)

8x-4

8x-4+3=8x+1

8x-8x-4+3=1

8x-8x-1=1

0-1=1

-1=1

Wait, what? -1 is equal to 1?

Hence, the equation has no solutions.

Hope it helps :)

find the HCF of 447 577 669

Answers

Answer:

Step-by-step explanation:

447÷3=149577 is a prime number so it can't be divided669÷3=223447=3×149577=0669=3×223Common factors=3H.C.F of 447,577 and 669=3

Answer:

Step-by-step explanation:

447 = 3 ×149

577 = 577 (prime number)

669 = 3 × 223

HCF = 1

Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?

Answers

Answer:

$182.91

Step-by-step explanation:

136.50 times 0.14 (14%) is 19.11

136.50 times 0.2 (20%) is 27.30

13650+19.11+27.30=182.91

y=3(x+2)^2+4 solve please and thank you!

Answers

Answer:

Step-by-step explanation:

Subtract 4 from both sides

y - 4 = 3(x+2)^2

Divide 3 from both sides

(y-4)/3 = (x+2)^2

Square root both sides

SQRT((y-4)/3) = x + 2

Subtract 2 from both sides

x = SQRT((y-4)/3) - 2

Hope this helps

f(x)=3x^2+x f(x)=3x 2 +x \text{Find }f(-5) Find f(−5)

Answers

So the equation given is: [tex]3x^2+x[/tex]

What do we find: f(-5)

To find f(-5), we must plug '-5' into the equation in place of the 'x'

[tex]f(-5) = 3(-5)^2+(-5) = 3 * 25 -5=75-5=70[/tex]

Answer: f(-5) = 70

Hope that helps!

Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions

Answers

Answer:

2x^2+1=5-2x

2x^2+1-5+2x

2x^2-4+2x=0

x^2-2+x=0

x^2+x-2=0

(x+2)(x-1)

x1= -2

x2= 1

Answer:

[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]

Step-by-step explanation:

I hope this helps and have a good day!

What is the value of x in this triangle?
38
53
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.

Answers

Answer:

x = 45.79°

Step-by-step explanation:

You can use sin Θ to find the value of x.

Let us find it now.

Sin x = Opposite / Hypotenuse

Sin x = 38 / 53

Sin x = 0.7169

x = Sin ⁻¹ 0.7169

x = 45.79°

Estimate the value of 101.4^0.5 +6.43^0 x 7.99^(2/3)

I’m not really sure of the answer, if you know, please tell me.

Answers

Answer:

Step-by-step explanation:

101.4^0.5 = 10.0697 etc

it says estimate so I'm going to round that to 10

6.43^0 Anything with an exponent of 0 = 1

7.99^(2/3) = 3.9966 etc you can round that to 4

Put in the values:

10 + 1 × 4

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

We have to multiply 1 × 4 which is 4

We're left with 10 + 4 which is 14

Answer:

Step-by-step explanation:

[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]

[tex]\sf a^{0.5}=\sqrt{a}[/tex] so round 101.4 to 100 as the square root of 100 is easy to calculate mentally [tex]\sf a^0=1[/tex] so [tex]\sf 6.43^0=1[/tex]7.99 ≈ 8[tex]\sf a^{\frac23}=(a^{\frac13})^2[/tex][tex]\sf8^{\frac13}[/tex] = the number that you cube to get 8

[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]

perform the indicated operation 7/2x-2/3x

Answers

Answer:

Ans: n−√5

Step-by-step explanation:

The table below shows a student's quiz scores on six quizzes.

Answers

median is 16 ducky quack

Answer:

Step-by-step explanation:

Median, also known as the "middle" value in a data set. To be able to find the median, your data needs to be in numerical order.

Quiz scores:

9, 13, 20, 15, 18, 17

Arrange in numerical order:

9, 13, 15, 17, 18, 20

Find the "middle" value:

9, 13, 15, 17, 18, 20

When there are two middle values, you add them up and divide it by 2.

15 + 17 = 32

32/2 = 16

Therefore, the median, "middle" value of this student's quizzes is 16.

Hope this helps!

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