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

The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.68. What is the probability that it will rain on at least three of the
five days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

0.3386 = 0.339 (rounded).

Step-by-step explanation:

It is the binomial type probability distribution.

The number of trial n= 3; the probability of the success trial is  0.16,  and the number of success trial k = 1.

PLEASE HELP MEE ANSWER THIS

Answers

Volume of a Rectangular Prism = length x width x height

Length = 4

Width = 2

Height = a

Volume = 7.2

7.2 = 4 x 2 x a

7.2 = 8 x a

a = 0.9

Answer: a = 0.9

Hope this helps!

Answer:

a = 0.9 cm

Step-by-step explanation:

Volume of a rectangular prism: L*W*H

L = 4 cmW = 2 cmH = a cmV = 7.2 cm³

Substitute the values above into the formula:

V = L*W*H

7.2 = 4*2*a

7.2 = 8a

/8     /8

0.9 = a

Therefore, the value of a is 0.9 cm.

Hope this helps!

What is value of m in the equation 3 (2x - 4) = x +3​

Answers

Step-by-step explanation:

6x-12=x+3

6x-x=3+12

5x=15

x=15/5

x=3

Answer:

x = 3

Step-by-step explanation:

What is value of m in the equation

3 (2x - 4) = x +3​?

3 (2x - 4) = x + 3​

6x - 12 = x + 3

5x = 15

x = 15 : 5

x = 3


In the figure below, QRT and SRV are complementary.
What is the value of x?

Answers

[tex]\bold{ANSWER:}[/tex]
x = 40

[tex]\bold{SOLUTION:}[/tex]

Find the area of a piece of
carpet that measures 14 feet by 3
feet. Write your answer as a mixed
number.

Answers

Answer:

42 ft ^ 2

Step-by-step explanation:

All we have to do is multiply 14 and 3. That gives us 42.

Answer:

3/4 sq ft

Step-by-step explanation:

1/4*3=3/4

im pretty sure u meant 1/4 not 14 bc it says "mixed number"

giving bralinest to correct answer.

Answers

Answer:

A, 3

Step-by-step explanation:

Just look at x axis, find 6, and then start going up until you hit the line. Then record the point you hit.

The answer is 3
Hope this helps.

Rewrite √-9-6 in complex number notation.
A. −6 − 3i
B. −6 + 3i
C. √3i -6
D. -6 -√-9

Answers

Answer:

B) - 6 + 3i

Step-by-step explanation:

   Complex number notation:

i² = -1

[tex]\sf \sqrt{-9}-6=\sqrt{3^2*i^2}-6[/tex]

               [tex]\sf = 3i - 6[/tex]

If the volume of a cone is 10 m^3 what is its height if the area of the base is 10 m^2?

Answers

Answer:

3 m

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} b h \quad\textsf{(where b is the area of the circular base and h is the height)}[/tex]

Given:

volume = 10 m³Area of base = 10 m²

[tex]\implies \sf 10=\dfrac{1}{3} \cdot 10 \cdot h[/tex]

[tex]\implies \sf 10=\dfrac{10}{3}h[/tex]

[tex]\implies \sf 30=10h[/tex]

[tex]\implies \sf h=\dfrac{30}{10}=3[/tex]

Answer:

height: 3 meter

Explanation:

[tex]\sf volume : \frac{1}{3} \ x \ base \ area \ x \ height[/tex]

Here given:

base area: 10 m²height: hvolume: 10 m³

Solve:

[tex]\longrightarrow \sf 10 = \frac{1}{3} \ x \ 10 \ x \ h[/tex]

[tex]\longrightarrow \sf 10 = \frac{10}{3} \ x \ h[/tex]

[tex]\longrightarrow \sf \frac{10 \ x \ 3}{10} = h[/tex]

[tex]\longrightarrow \sf 3 = h[/tex]

Class A has 15 pupils and class B has 29 pupils. Both classes sit the same maths test. The mean score for class A is 35. The mean score for class B is 36. What is the mean score (rounded to 2 DP) in the maths test across both classes?​

Answers

Answer:

35.66

Step-by-step explanation:

Don't work with the mean given at first

1. Multiply the mean of class A by the number of students in class A

35 times 15=525

2. Multiply the mean of class B by the number of pupils in class B

36 times 29=1044

3. Add the answers you got

1044+525

4.Add the pupils of both classes

29+15=44

5.Then divide the total grades and pupils

1569/44 =35.659

6 Then round off

=35.66

Two arithmetic means between 3 and 24 are -

Answers

The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

What is arithmetic mean?

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.  

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term.  The first term, a=3 and t₄=24. Thus, the common difference is;

[tex]t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}[/tex]

The second and 3rd term are:

[tex]A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}[/tex]

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

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To identify the density of a toy made using an unknown material, the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. The figurine is then put on a scale and found to be 1.4 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3)

Answers

The density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³

To answer the question, we need to know what density is

What is density?

Density is the mass per unit volume of a material.

It is given by ρ = m/v where

m = mass of material and v = volume of material

Now, given that the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. It's volume is v = 125.4 mL

= 125.4 × 1 mL

= 125.4 × 0.0610237 in³

= 7.65237198 in³

Also, given that the figurine is then put on a scale and found to be 1.4 pounds in weight. It's mass is m = 1.4 lb

Density of the material

So, the density of the material ρ = m/v

ρ = 1.4 lb/7.65237198 in³

ρ =  0.183 lb/in³

So, the density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³

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Can anyone PLEASE HELP ME ASAP!!!???

Answers

Answer:

the independent variable is s

the dependent one is m

hope this helps <3

independent variable= s (spaghetti bowl)
dependent variable= m (meatballs)

Can someone pls help me ! 20 points !

Answers

Answer:

60/13

Step-by-step explanation:

Algebra 1 is all about equations and functions. First, you learned about Linear Functions then Quadratic Functions. Next, you learned about Rational Functions (indirect variation), then Exponential and then Radical Functions. Before Algebra 1 comes to a close, it is good to review these functions and compare them side by side.


Complete the table below. The table is created for you in the Word or PDF Worksheet. If you don't have Microsoft Word, download the PDF and create the worksheet in an application of your choice, complete the worksheet and upload it as a PDF.


All images should be original. Graphed them using a digital calculator such as Desmos.


Resources: Desmos User Guide

Export a graph from Desmos by choosing 'Share' and then 'Export', or you can 'Print' them as a PDF. Alternatively, you can take a screenshot of your graph. You can insert the image into this table or give your image files a distinct name and upload them with this worksheet. You can upload them as a PDF, or you can use an image file format - PNG, JPG or GIF files.



Linear Quadratic Rational Exponential Radical

Parent Function:

Notation

----------------------------

Parent Function:

Graph

----------------------------

Translation:

Graph a function which extends

through quadrant 1, 2, and 4.

If it is not possible to graph

through these quadrants,

chose one or two quadrants and explain the choice.

-------------------------------------

Write the function notation

for the above function

-------------------------------------

Domain and Range of

translated function


Reflection: Write a paragraph summarizing what you learned from this activity.

Answers

Answer:

Algebra is simple and the answer is infinity due to there being over one million diffrent possoblitlitys, We know that because of albert ienstine so the answer has been solved.

Step-by-step explanation:

When you use word processor functions such as spell check and thesaurus to write a second draft you are
A. Peer editing
B. Publishing
C. Revising
D. Prewriting

Answers

C. Revising because it should be your last stage in the writing process before you publish

When you use word processor functions such as spell check and thesaurus to write a second draft, you are "C. Revising."

What is word processor

Revising means making changes and improvements to a piece of writing to make it better. This includes making it easier to understand, organizing it well, and making sure it is good quality overall.

Using spell check helps you fix mistakes in your spelling, while using the thesaurus helps you find different words that mean the same thing and choose better words to make your writing clearer and more accurate.

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Which polynomial function gets larger and larger in the negative direction as x gets
larger and larger in the negative direction?
A./(x) = 5x² - 2x+1
B./(x) = 6x³+4x² - 15x+32
G./(x) = 7x"=2x+3x²+8x-10
D. /(x) = 8x6 +- 1

Answers

Answer:

f(x) = 8x^6 + 1

Step-by-step explanation:

We want to examine which polynomial function grows larger and larger as the negative variable rises. We'll see that option d is correct: f(x) = 8x6 + 1

There are two things to keep in mind here.

The polynomial grows quicker as the exponent increases.

When a negative integer is evaluated with an even exponent, the result is always positive.

Then all the polynomials with an even leading exponent become larger and larger as x grows in the negative direction, especially the one with the biggest leading exponent, which is:

The radius of a circle is 10 m. Find its area to the nearest whole number.


I need help rn it’s a final I need it asap

Answers

given:

radius= 10 m

to find:

the area of the given circle.

solution:

[tex]a = \pi {r}^{2} [/tex]

[tex]a = \pi \times {10}^{2} [/tex]

[tex]a = 314.15927 \: {m}^{2} [/tex]

[tex]a = 314 \: {m}^{2} [/tex]

therefore, the area of the given circle is 314 square meters.

Given:r= 10 mNote that:r: radius To find:The area of the given circle to the nearest whole number.Solution:

[tex]\large\boxed{Formula: a= \pi{r}^{2}}[/tex]

In this question raduis is given so we'll simply have to solve.

Let's solve!

The area of a circle is π times the radius squared.

Substitute the values according to the formula.

[tex]a= \pi \times {10}^{2}[/tex]

[tex]a= 314.1592654 \: {m}^{2}[/tex]

Now, we can round off to the nearest whole number.

The value in tenths place is less than 5 so we won't have to round up.

Final answer:

[tex]\large\boxed{a= 314 \: {m}^{2}}[/tex]

Hence, the area of the circle given in the question is 314 square inches to the nearest whole number.

The number of pupils in Pooti Junior School increased by x% form 800 pupils to 960. Find the value of x​

Answers

2% is the correct answer

Henry deposits $750 into a college savings account that is compounded annually when is his parents received as a stimulus package . If Henry let’s the money sit in the account without adding or removing any and receives a 8.5% interest rate , How much more money will he have total after 5 years ?

Answers

Answer:

The answer should be $1127.74

8 > −4; Subtract 8 from both sides.

The resulting inequality is:

Answers

Answer:

True, (-∞, ∞)           0 > -12

Step-by-step explanation:

8 > −4

8 - 8 > −4 - 8

0 > -12

Hope it helps :)

If you have any questions or anymore help lmk, happy to help with any school work!!

Have a nice day, you’ll make it thru :)

(shhhh i added your deleted question to this one as well, Image below)

the box and wiskers plot represent the number of minutes spent by users on two different social media groups which THREE statments are correct when comparing the plots

Answers

The true correct statements about the box-and-whiskers plot are:

Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25

What is the Spread and Median of a Data?

In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.

Median of a data is the value at the point where the vertical line divides the rectangular box.

Median for Group A is between: 45 and 50

Median time for Group B is: 40.

Therefore, the three statements are:

Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25

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Anyone? please help asap i really want to finish this
It is a Part A and Part B Question


Note: please add the answer next to what part it's from so I can know which part was answered

Answers

Step-by-step explanation:

oh, come on ! one is finding the inequality itself, the other is solving it. you don't know the difference of that ?

if so, please let me know, what you don't understand of the following explanations, so that I can add whatever is necessary.

you know, what an equality (ahem, equation) is ?

both, equations and inequalities are like a balancing scale with usual different things on the two pans left and right.

an equation is when both sides are in balance. their weight is equal.

an inequality is, when one side is heavier than the other.

and you know, what a variable is ? it is a kind of placeholder for actual values. it is like keeping some space open on the scale pan with a list of conditions for what kind of things you can put in that open space, so that the status of the scale stays unchanged.

A

twenty less than a number is at least 15

looks mathematically

x - 20 >= 15 (larger or equal = "at least")

B

x - 20 >= 15

x >= 35

so, this is true for

{x € R | x >= 35}

or

{x € R | x = 35 or x > 35}

so, this is true for all real values of x that are at least 35.

Can you guys help me please :(

Answers

Step-by-step explanation:

ask me if you don't understand

Can someone help me with this? Please and thankyou!!

Answers

The Answer is B because of the order of operations

PLEASE ANSWER
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA

Answers

Answer:

B. AA similarity postulate

I don't know how to solve this question you can take a look at it in the attachment image.

Answers

The codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]

How to determine the codomain of the function?

The equation of the function is given as:

[tex]g(x) = 2x^2 + 4x - 1[/tex]

The above function is a quadratic function and it has the following features:

Domain = [tex](-\infty, \infty)[/tex]

Range: [tex][-3, \infty)[/tex]

When the range and the domain are combined, we have:

[tex][-3, \infty)\ and\ (-\infty, \infty)[/tex]

This gives

[tex][-3, \infty[[/tex]

Hence, the codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]

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A piece of length of wire 8 ¼m. It is cut into two pieces. The length of onee piece is 4 3/5 m. What is the length of other piece

Answer should be 7/2m​

Answers

Answer:

3 ¹³/²⁰ m

Step-by-step explanation:

You first take 8¼ m then you subtract 4⅗m giving you 3 ¹³/20

three eighths plus four eighths equals

Answers

Answer:

7/8 (seven eighths)

Step-by-step explanation:

add the numerators (top numbers) together, to get 7. Leave the denominator (bottom number) alone, since they are the same. Think about it like you're adding two different parts of a whole.

you should get 7/8

hope this helps

Find the slope of the given line. Please see attached photo. Thank you

Answers

Answer:

-2

Step-by-step explanation:

Find two points which lie on the line :

Take (-2, -1) and (-1, -3)

Formula for slope (m) :

m = y₂ - y₁ / x₂ - x₁m = -3 + 1 / -1 + 2m = -2/1m = -2

Answer: [tex]-2[/tex]

Step-by-step explanation:

[tex]Slope:m=0[/tex]

[tex]y=mx+b[/tex]

[tex]-2*10^0[/tex]

[tex]-2~is~a~rational~number[/tex]

[tex]\frac{180}{pi}[/tex]°

3x-10=16+10
Solve.
This is easy.​

Answers

Answer: X = 12

Step-by-step explanation:

Answer: x = 12

Step-by-Step Explanation:

3x - 10 = 16 + 10
3x = 16 + 10 + 10
3x = 36
x = 36/3
=> x = 12

Therefore, x = 12
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