Mathematics High School

omsomfigure2.52base a 20 cmfigure B:ta20 cm5 pmfigure.boromomsomfigure D:tasarea 2018.paretAmong these figures, gureand figurehave the same volume

Answers

Answer 1

We will compute the volume of each figure.

1) Figure A

We have a cone with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the cone is:

[tex]V_A=\frac{1}{3}\cdot A_b\cdot h=\frac{1}{3}\cdot(20cm^2)\cdot5\operatorname{cm}\cong33.3cm^3\text{.}[/tex]

2) Figure B

We have a cylinder with:

• Ab = base area = 20 cm²,

• h = heigh = 6 cm.

The volume of the cylinder is:

[tex]V_B=A_b\cdot h=20cm^2\cdot6\operatorname{cm}=120cm^3.[/tex]

3) Figure C

We have an inclined cylinder with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the inclined cylinder is:

[tex]V_C=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.[/tex]

4) Figure D

We have a parallelepiped with:

• Ab = base area = 20 cm²,

• h = heigh = 5 cm.

The volume of the parallelepiped is:

[tex]V_D=A_b\cdot h=20cm^2\cdot5\operatorname{cm}=100cm^3.[/tex]

5) Figure E

We have an inclined square pyramid with:

• Ab = base area = 20 cm²,

• h = heigh = 10 cm.

The volume of the square pyramid is:

[tex]V_E=\frac{1}{3}\cdot A_b\cdot h=\frac{1}{3}\cdot(20cm^2)\cdot10\operatorname{cm}\cong66.67cm^3\text{.}[/tex]

Answer

Among these figures, figure C and figure D have the same volume.

Related Questions

-2 3/7 - 1 2/3 show ur work!please

Answers

Answer:

-4 2/21

Step-by-step explanation:

-2 3/7 - 1 2/3

Change to improper fraction

-2 3/7 = -17/7

- 1 2/3 =-5/3

-17/7-5/3

L.C.M=21

-51-35/21

= -86/21

= -4 2/21

Hope it helps..

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At Silver Gym, membership is $20 per month, and personal training sessions are $45 each. At Fit Factor, membership is $90 per month, and personal training sessions are $35 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Sarah would have to buy _____ personal training sessions to make the total cost at the two gyms equal.

Answers

Answer: 7

Step-by-step explanation:

Let the number of sessions be x. Then,

[tex]20+45x=90+35x\\\\10x=70\\\\x=7[/tex]

ANSWER PLEASE IM GONNA DIE

Answers

the second one answer

Subtract 8 1/6-4 5/6. Simplify the answer and write as a mixed number.

Answers

3 1/3 would be your answer

Given m n, find the value of x.
m
(5X-11)°
(6x-7)°

Answers

Answer:

x = 18

Step-by-step explanation:

the angles pictured are supplementary angles.

supplementary angles are angles whose sum equals 180°

ex: <1 + <2 = 180°

[tex]5x - 11 + 6x - 7 = 180[/tex]

[tex]11x - 18 = 180[/tex]

[tex]11x = 198\\x = 18[/tex]

Answer:

[tex]\boxed{\sf{x=18}}[/tex]

Step-by-step explanation:

To find the value of x, you have to use the supplementary angles which is equal to 180°.

Supplementary angles = 180°

5x-11+6x-7=180

Combine like terms.

[tex]\sf{5x+6x-11-7=180}[/tex]

5x+6x=11x

[tex]\sf{11x-11-7=180}[/tex]

Subtract the numbers from left to right.

-11-7=-18

[tex]\sf{11x-18=180}[/tex]

You have to add by 18 from both sides.

11x-18+18=180+18

Solve.

Add the numbers from left to right.

180+18=198

11x=198

Divide by 11 from both sides.

11x/11=198/11

Solve.

198/11=18

[tex]\rightarrow \boxed{\sf{x=18}}[/tex]

Therefore, the final answer is x=18.

A group of friends wants to go to the amusement park. They have no more than $170 to spend on parking and admission. Parking is $7.25, and tickets cost $23.25 per person, including tax. Write and solve an inequality which can be used to determine
x, the number of people who can go to the amusement park.

Answers

Answer:

7 People is they all go in the same car and pay only for 1 parking space.

Step-by-step explanation:

23.25x + 7.25 ≤ 170 Subtract 7.25 from both sides of the equation

23.25x ≤ 170 Divide both sides by 23.25

x ≤ 7

PLEASE HELP, I will give brainliest! due soon thank you so much and please give explanation

question 1,2 and 3 thank you

Answers

Answer:

8.368, 156.8, 2.52$

Step-by-step explanation:

0.8% of 1,046 is 8.368

to get this first find 80% of 8.368 so you can get 836.8 and then you move it back 2 places to get 8.368

160% of 98 will be 156.8

first split it up into 2 problems for it to be easier

100% of 98

and 60% of 98

100% of 98 = 98

60% of 98 = 9.8*6 = 58.8

98+58.8 = 156.8

For the 3rd one it will be 2.52$ srry gtg soon so can't explain

Question 6 (Yes/No Worth 1 points) (02.01 LC) Is the following relation a function? x y 1 −2 1 −3 2 1 3 −2 Yes No

Answers

This is not a function, we know this because the input x = 1 is mapped into two different outputs.

Is the following relation a function?

A relation maps elements from one set, the domain, into elements from another set, the range. A relation is only a function if each element of the domain is mapped into only one element of the range.

In this case, we have the relation:

x: 1, -2, 1, -3

y: 2, 1, 3, -2

The input x = 1 is mapped into two different values, y =2 and y = 3.

Thus, the relation is not a function.

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Math easy will give brainly and points
A large container is being filled with water at the rate of 2 3/4 per minute

Answers

Answer:

5 minutes and 20 seconds

Step-by-step explanation:

basically your equation is: (rate of filling container) x (time to fill container)

- (minus)

(rate of leaking from container) x (time to fill container)

(the size of the container in gallons)

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

step 1 - so t = the time in minutes to fill14 gallon container

step 2 - convert 2 3/4 to quarters so:

2 • 4 = 8 and it’s in quarters so 8/4 then

8/4 + remaining 3/4 = 11/4

step 3 - so then you fill in the equation:(11/4)•t - (1/8)•t = 14

step 4 - multiply both sides of the equation by 8:

(11/4) = 2.75 • 8 = 22

(1/8) = 0.125 • 8 = 114 • 8 = 112

so the equation is:

22t - t = 112

step 5 - divide both sides of the equation by 22:

22t / 22 = t

112 / 22 = 5.333

so t = 5.333

step 6 - convert

so 5.333 has a repeating decimal of 0.3 which is 1/3. so to convert that to seconds, take 1/3 of 60:

60 / 3 = 20

so it takes 5 minutes and 20 seconds to fill the 14 gallon container

hope this helps :)

The cost of a mobile set is Rs 18000. If Mrs Sharma purchased it with 13% VAT,how much did she pay for it.

Answers

To purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.

As given in the question,

Cost of the mobile set Mrs Sharma purchase = Rs 18000

VAT added on purchasing a mobile set is equal to 13%

Amount of VAT on mobile set is equal to

= 13% of 18000

= (13/100) × 18000

= 13 ×180

= Rs 2340

Mrs Sharma needs to pay amount to purchase a mobile set

=18000 + 2340

= Rs 20,340

Therefore, to purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.

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Graph the line with slope of 5/3 and goes through the point (2,1). please help

Answers

Answer:

y = 5/3x -7/3

Step-by-step explanation:

y = mx + c

sub in values:

1 = 5/3(2) + c

1=10/3 + c

-7/3 = c

equation of line:

y = 5/3x -7/3

Solve the inequality. Graph the solution. 3x≤−54

Answers

Solution:

[tex]x\leq -18[/tex]

Graph Displayed Below

Hope this helps!

The solution to the given inequality [tex]3x \leq -54[/tex] is [tex]x \leq \frac{-54}{3}[/tex] .

Inequality is a fine statement that compares two values, showing if one is lower than, lesser than, or simply not equal to another value. Inequalities are frequently used to represent connections between amounts, similar to the relationship between the height and weight of a person, or the relationship between the speed and time of an object in stir.

We first divide the inequality [tex]3x \leq -54[/tex] by 3 on both sides to obtain:

[tex]x \leq \frac{-54}{3}[/tex] .

Then, we plot the line [tex]x = \frac{-54}{3}[/tex] on the graph. The region left to the line thus obtained is the solution of the given question.

Thus, the line [tex]x \leq \frac{-54}{3}[/tex] is plotted in the graph.

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Find AC (why do questions have to be at least 20 characters LOL)

Answers

b = 4.472 and h = 4.472

Step-by-step explanation:

Area of a parallelogram is A = bh

Find b and h where the area is 20 square inches

So, to find the equal value of both b and h take square root of 20

➟ √20

➟ 4.472

So, b = 4.472 and h = 4.472

Checking

A = 4.472 × 4.472

A = 19.9 ≈ 20

solve the inequlaity 2(4x+1)<3(2x-3)

Answers

The solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

In this question, we have been given an inequality 2(4x + 1) < 3(2x - 3)

We need to solve given inequality.

2(4x + 1) < 3(2x - 3) ..............(Given inequality)

8x + 2 < 6x - 9 .............(simplify both sides of the inequality)

8x + 2 - 6x < 6x - 9 - 6x ............(subtract 6x from both the sides)

2x + 2 < -9

2x + 2 - 2 < -9 - 2 ............(subtract 2 from each side)

2x < -11

2x/2 < -11/2 ................(Divide each side by 2)

x < -11/2

Therefore, the solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

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Martin earned $8.75 an hour plus another $18 in tips. Lawrence earned $9.25 an hour and spent $2 on a soda. Lawrence had more money than Martin. Let x represent the number of hours worked.

Answers

If Martin earned $8.75 an hour plus another $18 in tip and Lawrence earned $9.25 an hour and spent $2 on a soda, then the inequality represents the situation is 8.75x+18 < 9.25x-2

The payment of Martin per hour = $8.75

The addition tip he got = $18

The payment of Lawrence per hour = $9.25

The amount he spend for soda = $2

x represents the number of hours worked

Lawrence had more money than Martin

Then the inequality will be

8.75x+18 < 9.25x-2

Hence, if Martin earned $8.75 an hour plus another $18 in tip and Lawrence earned $9.25 an hour and spent $2 on a soda, then the inequality represents the situation is 8.75x+18 < 9.25x-2

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Select all diagrams that have expressions in corresponding angles.

Answers

Answer:

1, 2, 8

Step-by-step explanation:

Corresponding angles lie on the same side of the parallel lines and on the same side of the transversal.

1, 2, and 8 are corresponding angles.

State the degree and end behavior of f(x)=8x³+2x⁴-5x²+9. Explain or show your reasoning.

Answers

Examining the given polynomial we arrive at the various parameters

the polynomial is degree 4The end behavior is x → ∞ f(x) → ∞, x → - ∞ f(x) → ∞

How to find the degree of a polynomial

The degree refers to the maximum power to which the equation is raised. We can see that the term 2x⁴ bears the maximum power and it is 4 hence the equation is degree 4

How to find the end behavior of a polynomial

The end behavior refers to how the equation relates at the extremes. The extremes a big positive value and big negative value.

Big positive value say x = 1000

f(x)=8x³+2x⁴-5x²+9

f(1000) = 2.008x10^12

Big negative value say x = -1000

f(x)=8x³+2x⁴-5x²+9

f(-1000) = 1.992x10^12

comparing the two values shows that the value is increasing in both positive and negative, hence we write the end behavior as x → ∞ f(x) → ∞, x → - ∞ f(x) → ∞

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can someone help me find the vertex of y=1/2x^2+2?

Answers

Answer:

(0,2)

Step-by-step explanation:

EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
-2, 8, 18, 28

Answers

Answer:

The sequence is arithmetic.

-2 , 8 , 18 , 28 , 38 , 48 , 58 , 68 , 78 , . . .

21st term value is 198.

Step-by-step explanation:

3x^2 +16x−10=6x−2 algebra 2

Answers

Answer:

x= 2/3 or x= −4

Explanation:
3x2+16x−10=6x−2

Step 1: Subtract 6x-2 from both sides.

3x2+16x−10−(6x−2)=6x−2−(6x−2)

3x2+10x−8=0

Step 2: Factor left side of equation.

(3x−2)(x+4)=0

Step 3: Set factors equal to 0.

3x−2=0 or x+4=0

x=2/3 or x= −4

Consider this function f(x) = x -4

Answers

The inverse of the given function is f-1(x)= x²+4.

What is inverse of a function?

A function that "undoes" another function in mathematics is known as an inverse. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f-1.

To calculate the inverse of a function:

Consider f(x)=y

And interchange the variables.

So given f(x)= √x-4 becomes

y=√x-4 ⇒ x=√y-4

Now on squaring both sides we get,

x²= y-4

⇒ y = x²+4

Replace y by f-1(x)

So the equation becomes,

f-1(x) = x²+4

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1) Mrs. Martins deposits $2,650 into a savings account. The account earns 6%
interest per year, and the interest is not compounded. How much amount will
be in the account after 9 years?

Answers

The amount in the savings account of Mrs. Martins after 9 years will be $4081.

According to the question,

We have the following details:

The amount deposited in the savings account or the principal amount = $2,650

Interest per year = 6%

Time = 9 years

(It is given that the interest is not compounded.)

Now, using the formula of simple interest, we will first find the total interest after 9 years,

Simple Interest (S.I.) = (Principal * Rate * Time)/100

S.I. = (2650*6*9)/100

S.I. = (2650*54)/100

S.I. = 143100/100

S..I. = $ 1,431

Now, the total amount in the savings account would be the sum of the principal amount and the total interest.

So, we have:

Total amount = Principal + S.I.

Total amount = $ (2,650+1,431)

Total amount = $ 4,081

Hence, the total amount in Mrs. Martins's savings account is $ 4,081.

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Find the area of the circle. Use 3.14 for T. d = 4 m A = [?] m² A = πr² Enter

Answers

Step-by-step explanation: I hope this helps.

Answer:

Please help me. I will give brainly to anyone who helps.

Answers

so the first one is 817(the amount at the beginning) +19x

817+19x

the second pool is 38x, cause there's no water at the start.

38x

it would be 817+19x=38x

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