5. Find the volume of the composite space figure to the nearest whole number. (1 point)
6 mm
9 mm
11 mum
Not drawn to scale
0416 mm³
0705 mm³
01.294 mm³
0944 mm³

5. Find The Volume Of The Composite Space Figure To The Nearest Whole Number. (1 Point)6 Mm9 Mm11 MumNot

Answers

Answer 1

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

base area

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

prism volume

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.


Related Questions

A carton of half & half costs $.98 for 4 cups. What is the cost per cup?

Answers

Answer:

$00.245

Step-by-step explanation:

.98/4=00.245

please mark brainliest


can anyone answer this? i’ve had multiples tutors and none have been able to help.

Answers

Answer:

Area = 3430

Step-by-step explanation:

Graphing y = 28x - x^2 with it's limit interval (0<x<28). They ask for four sub-interval of LRAM.

Divide the base of 28 into 4 equal rectangles.

Area = (Base * Height) + (Base * Height) + (Base * Height) + (Base * Height)

Area = (0 * 7) + (147 * 7) + (196 * 7) + (147 * 7)

Area = 3430

A fabric store is having a sale. The price of every item in the store has been reduced by 30%. Which equation shows the
proportional relationship between the regular price, r, of an item and its sale price, s?

Answers

Equation to show the proportional relationship between the regular price, r, of an item and its sale price, s is 10s -7r=0.

What is sale price?

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time, typically to spur sales during a slow period or to sell off excess inventory.

Let the regular price be r and sale price be 's'

Since price of every item reduced by 30%.

So, sale price will be

[tex]s= r- 30% of r[/tex]% of r

[tex]s= r- \frac{30}{100} *r[/tex]

s= r - 0.3 r

s= 0.7 r

s-0.7r=0

or, 10s -7r=0

Thus, equation shows the proportional relationship between the regular price, r, of an item and its sale price, s :10s -7r=0

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Robert delivers papers every morning. On Sundays he has to deliver 65 papers and on each of the other days he only has to
deliver 38 papers. How many papers does Robert deliver each week?
A. 455
B. 331
C. 255
D. 293

Answers

Answer:

D. 293

Step-by-step explanation:

He delivers 38 papers each day of the week except sunday, so six days a week

38 x 6 = 228

228 + the 65 he delivers on sunday = 293 papers a week

Full‐me Ph.D. students receive an average of $12,837 per year. If the
average salaries are normally distributed with a standard deviation of $1500, find these
probabilities.
a. A student makes more than $15,000.
b. A group of 36 students makes between $13,000 and $14,000.

Answers

Answer:

.0022

Step-by-step explanation:

What is the value of x?

Answers

Answer:

a) 20

Step-by-step explanation:

90 - 46 = 44

44 - 4 = 40

40/2 = 20

Please help! Evaluate y = (x + 3)(x – 2) at x = r1 and then at x = r2. Show your work below.

Answers

The values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

How to evaluate the function?

The function is given as:

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

When x = 1, we have:

y = (1 +3)(1 - 2)

y = -4

When x = 2, we have:

y = (2 +3)(2 - 2)

y = 0

Hence, the values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

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Find the surface area of a cylinder with a height of 5 ft and a base radius of 4 ft.
Use the value 3.14 for x, and do not do any rounding.
Be sure to include the correct unit.

Answers

Answer:

A =281 ft^2

Step-by-step explanation:

A=2πrh+2πr^2

A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2

A =281 ft^2

last question before I go. [tex]x^{2} -y[/tex] when [tex]x = 4, y = 2[/tex].

Answers

Hey there!

x^2 – y

= 4^2 – 2

= 4 * 4 - 2

= 16 - 2

= 14


Therefore, the answer should be: 14



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A triangle has a base length of 6ac² and a height 3 centimeters more than the base length. Find the
area of the triangle if a = 2 and c=3.

Answers

Hey there!


EQUATION:

6ac^2

ASSUMING:

= 6(2)(3)^2

SOLVING:

= 6(2)(3^2)

= 12(3^2)

= 12(3 * 3)

= 12(9)

= 108


Therefore, the answer should be: 108


Good luck on assignment & enjoy your day!


~Amphitrite1040:)

The sun came out and the temperature quickly rose 18 degrees. The a thunderstorm hits and the temperature drops 6 degrees. The sun comes back out the temperature raises 12 degrees. The temperature is now 94 degrees. What was the starting temperature?

Answers

Answer:

70

Step-by-step explanation:

Just do it backwards.

94 - 12 = 82.

82 + 6 = 88.

88 - 18 = 70.

Out of 270 students in 6th grade, only 60% are going on the field trip. How many students are NOT going on the field trip

Answers

Step-by-step explanation: answer: 108

270

[tex]270 \times \frac{60}{100} [/tex]

[tex]27 \times 6 = 162[/tex]

270=60%

60% =162

40% = not going

270 students - 60% 162= 108

→108 students are not going

Answer:

270 students - 60% 162= 108

Step-by-step explanation:

The scale factor of a model car to the actual car is 300. If the model car is 2in tall, how tall is the actual car?

Answers

Answer:

600 inches or 50 feet

Step-by-step explanation:

Scale factor = model car : actual car = 1 : 300

We have a 2 inch model car.

2 in. : actual = 1 : 300actual = 2 × 300actual = 600 inches or 600/12 = 50 feet

Find the surface area of a cylinder with a base radius of 5 cm and a height of 8 cm.
Use the value 3.14 for , and do not do any rounding.
Be sure to include the correct unit.

Answers

Answer:

408.40704

Step-by-step explanation:

There is a population of 15,500 bacteria in a colony. If the number of bacteria doubles every 234 hours, what will
che population be 936 hours from now?
bacteria

Answers

Answer:

2,48,000

Step-by-step explanation:

Initial population of bacteria = 15,500

Bacteria doubles after every 234 hours

So, after 0 (zero) hours, no of bacteria = 15,500

After 234 hours, no. of bacteria = 2(15,500) = 31,000

After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)

After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)

After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)

help me plssssssssssssssssssssss

Answers

7/15 there u go hope it helped

A snail crawls 83 cm due west and then
78 cm due north.
Work out the bearing of the snail from its
starting point.
Give your answer to the nearest degree.

Answers

Answer:

  313°

Step-by-step explanation:

The reference angle (α) can be found using the tangent relation:

  Tan = Opposite/Adjacent

__

In this problem, that means ...

  tan(α) = 78/83

  α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis

The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.

  bearing = 270° +43° = 313°

A teacher bought 8 books at (p - 1500) each book and 2 pens at (p + 1000) each pen. If the teacher spent 53,000 altogether, how much money did he spend on the books?​

Answers

Answer:

38400/=

Step-by-step explanation:

8(p-1500)=8p-12000

2(p+1000)= 2p+2000

8p-12000+2p+2000=53000

10p-10000=53000

10p=53000+10000

10p=63000

p=6300/=

8 books=8(6300-1500)

=38400/=

A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%, how many dollars is the sale price of the car

Answers

If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.

The cost after 15% off will be

→ 0.85 × $8,900

→ $ 7,565

Then the final cost after the sale tax of 8.25% will be

Cost = $ 7,565 × 1.0825

Cost = $ 8,189.11

More about the percentage link is given below.

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need help on my aleks chapter 5 lesson 3

Answers

Answer:

65º

Step-by-step explanation:

Angles in a triangle add to 180º so:

180- 44 - 71 = 180 - 115 = 65º

A circular tabletop has a circumference of 94.2 inches. What is its approximate area?

Answers

Answer:

1st choice : 706.5 square inches

Step-by-step explanation:

circumference is pi times diameter

divide 94.2 by pi to get diameter = 29.9847912785

diameter 29.9847912785 divided by 2 is

14.9923956393 which is the radius

area is pi times radius times radius again

pi times 14.9923956393 times 14.9923956393 =

706.141834613

josiah is running a marathon which is 26 1/5 miles Long. At four 1/4 miles from the start, he meets his wife, who is cheering him on. 7 1/2 miles further down the marathon course, he sees some Friends from his running club volunteering at a water stop. Once he passes his friends, how many more miles does Josiah have left to run?

Answers

Once he passes his friends, The miles Josiah has left to run would be 10.95 miles.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Josiah is running a marathon which is 26 1/5 miles long.

At four 1/4 miles from the start, he meets his wife, who is cheering him on.

7 1/2 miles further down the marathon course.

26 1/5 = 131/ 5

7 1/2 = 15/2

The marathon run by Josiah

= 1/4 + 15/2

= 15.25

The miles Josiah has left to run

= 131/ 5 - 15.25

= 10.95

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This is had can you help me

Answers

Answer:

#9 is 6 #10 is 1 #11 is 7 #12 is 6

Step-by-step explanation:

Solve for -5v+6 = -12v+62 Simplify your answer as much as possible.

Answers

Hey there!

Answer :

[tex] \displaystyle \blue{\boxed{\green{\bold{v = 8}}}} [/tex]

[tex] \\ [/tex]

Explanation:

-5v + 6 = -12v + 62

[tex] \\ [/tex]

▪️Subtract 6 from both sides :

-5v + 6 - 6 = -12v + 62 - 6

-5v = -12v + 56

▪️Add 12v to each side :

-5v + 12v = -12v + 56 + 12v

7v = 56

▪️ Divide both sides by 7 :

7v / 7 = 56 / 7

v = 8

[tex] \\ [/tex]

Therefore, our answer is v = 8.

[tex] \\ [/tex]

▪️ Learn more about solving equations:

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Answer:

v = 8

Step-by-step explanation:

Hello!

We can solve the equation by moving all terms of V to one side, and all integer values to the other.

Solve-5v + 6 = -12v + 62-5v + 6 + 12v = -12v + 62 + 12v7v + 6 = 627v + 6 - 6 = 62 - 67v = 56v = 56/7v = 8

The value of v is 8.

We can plug back 8 into the original to check our answer:

-5(8) + 6 = -12(8) + 62-40 + 6 = -96 + 62-34 = -34

Since both sides match, the solution of v = 8 is correct.

(05.07) A square pyramid is shown. What is the surface area?

A square based pyramid, with bases labeled 3.5 centimeters and side length of triangle labeled 7 centimeters.

19.25 cm2
30.625 cm2
49.625 cm2
61.25 cm2

Answers

The surface area of the square based pyramid is 61.25 centimetre square

How to find the surface area of a square base pyramid?

surface area of the pyramid = A + 1 /2 ps

where

A = area of the base

p = perimeter of the base

s = slant height

Therefore,

A = 3.5² = 12.25 cm²

p = 4(3.5) = 14 cm

s = 7 cm

Therefore,

surface area of the pyramid = 12.25 + 1 /2 × 14 × 7

surface area of the pyramid = 61.25 cm²

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find the value of 7x+2y when x=2 and y=-9

Answers

Answer = -4

Step-by-Step Explanation:

Given: x = 2, y = -9

Therefore, substituting the values
= 7x + 2y
= 7(2) + 2(-9)
= 14 + -18
= 14 - 18
= -4

Answer:

32

Step-by-step explanation:

7×18+2×18=32

x=14

y=18

Have a great day!

3x + 2 = 14
Which number makes the equation true?

1
2
2
4
6

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]3x+2=14\\\\3x+2-2=14-2\\\\3x=12\\\\\displaystyle \frac{3x}{3}=\frac{12}{3}\\ \\ x=4[/tex]

4. For v = -2i – 7j, find the unit vector in the direction of y, and write your answer as a linear combination of the standard unit vectors i and j

5. Find u•v if u = i + 2j and v = -i + 5j.​

Answers

4. If v = -2i - 7j, then its magnitude is

||v|| = √((-2)² + (-7)²) = √53

and the unit vector in the direction of v is

[tex]\dfrac{v}{\|v\|} = \boxed{-\dfrac2{\sqrt{53}} \, \vec\imath - \dfrac7{\sqrt{53}} \, \vec\jmath}[/tex]

5. Given u = i + 2j and v = -i + 5j, we have

u • v = (i + 2j) • (-i + 5j) = -(i • i) - 2 (j • i) + 5 (i • j) + 10 (j • j)

Since i and j are orthogonal unit vectors, we have i • i = j • j = 1 and i • j = 0, so the product reduces to

u • v = -1 - 0 + 0 + 10 = 9

How many integers from 1 to 100 have a factor of 3?

Answers

Answer: 33 integers

Step-by-step explanation:

The numbers with a factor of 3 must be a multiple of 3. Therefore, since 99 is the greatest multiple of 3 that is less than 100, we can divide 99 by 3 to get 33 integers (for every 3 consecutive integers, there is one multiple of 3). We can also divide 100 by 3 to get 33 1/3, which rounds to 33 integers.

I hope this helps!

what is 4,649 divided by 39

Answers

Answer:

[tex]4649 \div 39 = 119.205128295[/tex]

Step-by-step explanation:

I hope it's help u

Answer:

119 R 8

Step-by-step explanation:

convert 4649 to tens place, write 1

46 - 39 = 7

drop the 4 in the tens place, write 1

74 - 39 = 35

drop the 9 in the ones place, write 9

359 - 351 = 8

• For each time we got 39 or another number, we wrote the multiple of that number we used to get the result.

We got the remainder by the general subtraction.

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