What is the relationship between the area of the base of a prism?

Answers

Answer 1

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

What is area?

The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane. The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

V=b*h

b=base area of prism

h=height of prism

The volume of a prism is calculated as V=Bh, where B is the base area and h is the height.

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Related Questions

What is the answer to this please help

Answers

Answer:

A = 140

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 20

h = 14

Work:

A = 1/2bh

A = 1/2(20)(14)

A = 10(14)

A = 140

f(x) = – 2x2 - 4x – 18 Find f(-6)​

Answers

Answer:

(0,-18)

Step-by-step explanation:

Answer:

Step-by-step explanation:

From a survey of 100 commuters about how they get to work, 38 said they drive their cars, 47 said they take the bus, 14 said they take the subway, and 1 said they ride their bicycle. If there were 4,800 commuters total. How many drove a car out of the 4,800? How many took the bus out of the 4,800? How many took the subway of the 4,800? How many rode a bicycle out of the 4,800? PLEASE HELP

Answers

1824 drove a car

2256 take a bus

672 ride the subway

48 ride a bicycle

Fill in the Blank, I just need help with the last blank

Answers

Given:

A circle with center O, LN and MP are two diameters.

To find:

The minor arcs of the given circle.

Solution:

If any arc of a circle is less than its semicircle, then the arc is called is minor arc.

Since LN and MP are two diameters, therefore they divide the circle is two equal parts. So, the arc LN and arc MP are semicircles.

If arc LN and arc MP are the semicircles, then arc LM, arc MN, arc PL and arc NP are less than the semicircle.

So, arc LM, arc MN, arc PL and arc NP are minor arcs.

Therefore, the correct option is A.

How much of a circle does 100 degree angle turn through

Answers

the answer to your question is 5/18

A tennis club has 560 members.
(a) The ratio
men : women: children
5:6:3
(i) Show that the club has 240 women members.

(ii) How many members are children?

Answers

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 + 3 = 14 parts

Divide number of members by 14 to find the value of one part of the ratio.

560 ÷ 14 = 40 ← value of 1 part of the ratio

(i)

number of women = 6 × 40 = 240

(ii)

number of children = 3 × 40 = 120

According to the graph, about what percent of the bags weighs 49.8–50.0 lb?




55%


50%


40%


45%

Answers

Answer:

55%

Step-by-step explanation:

A ratio is a comparison of two quantities.
(2 points)

A.True

B.False

Answers

Answer:

true

Step-by-step explanation:

33/q = 8/12 q=?
What is q

Answers

Answer:

q= 49.5

Step-by-step explanation:

[tex] \frac{33}{q} = \frac{8}{12} [/tex]

Cross multiply:

8q= 33(12)

8q= 396

Divide by 8 on both sides:

q= 396 ÷8

q= 49.5

David got an $80 gift card to walmart. He uses the gift card to buy a dog toy for $12.99. He also wants to use the gift card to buy some candy bars. Each candy bar cost $0.99 how many candy bars can he buy

Answers

Answer:

67.68

68 rounded

Step-by-step explanation:

80-12.99=67.01

67.01 divided by 0.99=67.68 repeating

Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? A. 15x > 45 B. 15x < 60 C. x > 60 D. 15x < 45 E. x < 60

Answers

Answer:

A) 15x > 45

Step-by-step explanation:

Let X represent an hour. His wage will be 15 times that, so you have:

15x

He needs to earn more than 45 a day, so the inequality needs to be >45

Only answer that satisfies these conditions is A:

A) 15x > 45

Answer:     A.

Step-by-step explanation:

The equation of the line of best fit is y= 1/2x+1 how many laps can a bicycle make around the park in 23 mins

Answers

Answer:

The equation of the trend line is y= 1/2x +1. How many laps can a bicycle make around the park in 23 minutes? answer choices. 44 laps. 12 1/2 laps. 23 laps.

Step-by-step explanation:

hope this helped :b

The function y= 15.35 (1.0279)^t represents the value y(in dollars) of a share of stock after t days. Identify the initial amount and determine the growth or decay rate.

Answers

9514 1404 393

Answer:

initial amount: $15.35growth: 2.79% per day

Step-by-step explanation:

The coefficient is the initial amount: $15.35.

The growth factor is the base of the exponential term: 1.0279. The growth rate is 1 less than this: 1.0279 -1 = 0.0279 = 2.79%. It is positive, so represents a growth of 2.79% per day.

Lewis walked 8 ··10 of a mile. Todd walked 3 ··4 of the way with Lewis. How many miles did Todd walk with Lewis? Show your work.

Answers

Complete question :

Lewis walked 8/10 of a mile. Todd walked 3/4 of the way with Lewis. How many miles did Todd walk with Lewis? Show your work.

Answer:

0.6 miles

Step-by-step explanation:

Miles walked by Lewis = 8/10 miles

Miles Todd walked with Lewis = 3/4 of the way

This means : Multiplying the fraction Lewis walked with the fraction Todd walked with Lewis

8/10 * 3/4 = 24/40 = 0.6 miles

Hence, Todd walked 0.6 miles with Lewis

Grade 9 -10 help pleaseeee determine length of arc CAD

Answers

Answer: Divide the chord length by double the radius.

Find the inverse sine of the result.

Double the result of the inverse sine to get the central angle in radians.

Once you have the central angle in radians, multiply it by the radius to get the arc length.

Step-by-step explanation:

(12 points)

2. Tom bought 30 shares of a company's stock for $19.72/share. He pays a broker a commission of $11 to buy and sell

stock. After one year, Tom sold all his shares, when they were worth $20.75/share.

A. How much did it cost Tom to buy the stock? Show your work.

B. What was Tom's net gain or loss? Show your work

What was Tom's annual rate of return? Show your work and round to tenth

Answers

Step-by-step explanation:

a.)Buying: total cost

Total cost= commission + (price per share× Number of of shares ) ;

Total cost= 11 + (19.72×30)= $591.6+11= $601.6

b.)Net gain or loss;

First, find cash received from sale of stock and deduct commission;

Cash from sale =20.75×30= $ 622.5

deduct commission= 622.5-11= $611.5

Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.

c.) Annual rate of return= (net gain or loss/amount paid)×100%

return= 9.9/(601.6)×100 = 1.645%

2 + 6x > 38 How can I solved this?​

Answers

Answer:

Below

Step-by-step explanation:

Move all terms not containing  x  to the right side of the inequality.

6 x  >  36

Divide each term by  6  and simplify.

x  >  6

Inequality Form: x  >  6

Interval Notation: (  6 ,  ∞ )

Hope this helps:)

Repost! Can someone help?

Answers

All you havw ti do is basically graph the points and draw a line where most of the data occurs

Answer:

y = 7x + 3

Step-by-step explanation:

So take your lowest point (1, 10) and highest point (8, 59) and arranage them into a division problem so it looks like this 59 - 10/ 8 - 1. Once you use pemdas to reduce this divison problem it gives you 7 so them. Now you have your mx all we have to do now is find your b to do that you take your lowest y value 10 and set that equal to 7 + b. Now solve Algebraically to get b = 3.

Beatrice has a page of 8 math problems to complete over the weekend. She solved 3 problems on Saturday morning and 2 on Saturday afternoon. Write a number sentence with fractions that describes how much of the page Beatrice has completed.

Answers

Answer:

5/8

Step-by-step explanation:

Add 3+2 to get 5

5 is the numerator (the number above the line)

8 is the denominator (the number below the line)

Beatrice has done 5/8 (or 5 out of 8) math problems.


Solve the right triangle. Round side and angle measures to the nearest tenth, if necessary.

Answers

Answer:

∠C = 28°     (as you have done)

AB = 4.7

BC = 8.8

Step-by-step explanation:

cos 62° = AB/10

0.4695 = AB/10

AB = 10(0.4695) = 4.69

sin 62° = BC/10

0.8829 = BC/10

BC = 10(0.8829) = 8.83

help pls pls hahsjsjdhd

Answers

Answer: [tex]\frac{x}{50} > 8[/tex]

Step-by-step explanation:

more than =    >  not ≥

3. The table shows the average annual salary in dollars based on
the minimum level of education required for two occupations.
Occupations
Occupation Average Annual Salary Level of Education
(dollars)
Required
Accountant 71,040
Bachelor's degree
41,700
High school diploma
preparer
Тах,
Based on the average annual salaries in the table, how much
more would an accountant earn than a tax preparer over a 30-
year career?

Answers

Answer:

the answer is $880.200

Step-by-step explanation:

Angle G in trapezoid FGHJ measures 135 degrees. Jasmine reflects the trapezoid over the x-axis. What is the measure of the image of angle G?

Answers

Answer:

Triangle EFG has vertices E(-3, 4), F(-5, -1), and G(1, 1)

Step-by-step explanation:

Answer:

angle g is a 2 and fghj is a 1234 ok

Identify a function rule for the following ordered pairs:
{(0,-4), (2,0), (3, 2), (4,4)}
A)
y= x
B)
y= X-4.
C)
y= x-1
D)
y= 2x-4

Answers

2x-4 D it can be your answer if you multiply correctly and you do it

?!??!!!!!someone help me

Answers

Answer:

its b

Step-by-step explanation:

Well the easy way to find this is to just solve the first one. the equation is

x-y>5 so you plug in the coordinate and you end up with 7-2>5 which is false. So any answer with option one is out and b is the only one that fits that description.

What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5

Answers

Answer:

A: 4/5

Step-by-step explanation:

The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.

So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

We have given that,

the unit rate for the proportional relationship is represented by the equation y=4/5x.

We have to determine the unit rate

What is the equation of proportionality?

The equation for proportionality is y = kx, where k is the constant of proportionality.

So in y = 4/5x,

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

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A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area

Answers

Answer:

The base and height of three parallelograms with the same area as the 12 square inches rectangle are

1) First parallelogram;

Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

2) Second parallelogram

Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

3) Third parallelogram

Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

Step-by-step explanation:

The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)

Let ABCD represent the vertices of the rectangle such that we have;

A(0, 0), B(4, 0), C(4, 3), and D(0, 3)

The area of the rectangle, A = The length of AB × The length of CB

The length of AB = √((4 - 0)² + (0 - 0)²) = 4

The length of CB = √((4 - 4)² + (3 - 0)²) = 3

∴ The area of the rectangle, A = 4 × 3 = 12 square units

The area of a parallelogram = Base length × Height

The base and height of three parallelograms with the same area as the 12 square inches rectangle are;

1) Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

The area of the parallelogram, A = Base × Height;

∴ A = 4 units × 3 units = 12 units²

2) Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

The area of the parallelogram, A = Base × Height;

∴ A = 6 units × 2 units = 12 units²

3) Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

The area of the parallelogram, A = Base × Height;

∴ A = 5 units × 2.5 units = 12 units².

The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385. How many special bagel sandwiches were sold on that saturday ?

Answers

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

[tex]x+y=100\\y=100-x[/tex]

Also, The bagel shop made $385.

[tex]7x+2y=385[/tex]

Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]

[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]

So,

Number of special bagel sandwiches = 37

PLEASE HELP HURRY!!!

Answers

Answer:

C

Step-by-step explanation:

consistently goes down by 3.2 for the y value

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

18.3

Step-by-step explanation:

a^2 + b^2 = c^2

We can call the unknown side x. The hypotenuse (25) is c.

Knowing this, you know that x^2 + 17^2 = 25^2.

Now simpify!

x^2 + 289 = 625

Subtract 289 from both sides:

x^2 = 338

Now take the square root of 338 which is 18.3 rounded to the nearest tenth.

Hope this helped! :)

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