Which statements are true about surface area and volume? Check all that apply. Volume is labeled with cubic units. Surface area is labeled with cubic units. Volume of a prism is the product of the area of the base and height. Surface area is the sum of the areas of each side. The volume of a prism is One-third the volume of a pyramid.

Answers

Answer 1

We will review each option and see that it corresponds:

-Volume is labeled with cubic units.

True, the units of volume are cubic, since it is distance to the cube.

-Surface area is labeled with cubic units.

False, the units of the area are square, since it is distance squared

-Volume of a prism is the product of the area of the base and height.

True, depending on the base, the volume of the prism is determined, therefore it would be the area of the base by the height.

-Surface area is the sum of the areas of each side.

True, the surface area corresponds to the sum of the lateral areas and the area of the base, that is, the area of each side.

-The volume of a prism is One-third the volume of a pyramid.

False, on the contrary, the volume of a pyramid is one third of the volume of a prism

Answer 2

Answer:

A

C

D

Step-by-step explanation:

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One of these pics are proof and the other is to just make you smile :)

Which Statements Are True About Surface Area And Volume? Check All That Apply. Volume Is Labeled With
Which Statements Are True About Surface Area And Volume? Check All That Apply. Volume Is Labeled With

Related Questions

Unit 6. 2) Please help. What is the probability that a student is absent given that today is Monday?

Enter your answer as a fraction in simplest form, formatted like this: 3/14

Answers

Answer:

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A)  = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)

Determine the measure of the named angle below.
mZK

K
40°

Answers

Step-by-step explanation:

Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u

Stefan bought 2 turkey sandwiches and 5 ham sandwiches for a total cost of $40.50. Nancy bought 4 turkey sandwiches and 1 ham sandwich for a total cost of $31.50. The equations below represent Stefan's and Nancy's purchases.

Answers

Answer:

Price of each turkey sandwich = $6.5

price of each ham sandwich = $5.5

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

Step-by-step explanation:

Let

price of each turkey sandwich = a

price of each ham sandwich = b

Stefan purchase

2a + 5b = 40.50.........(i)

Nancy purchase

4a + b = 31.50..............(ii)

combine the equations

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

b = 31.50 - 4a

insert the value of b in equation(i)

2a + 5b = 40.50.........(i)

2a + 5(31.50 - 4a) = 40.50

2a + 157.5 - 20a = 40.50

-18a = 40.50 - 157.5

-18a = -117

divide both sides by -18

a = -117/-18

a = 6.5

insert the value of a in equation(ii)

4a + b = 31.50..............(ii)

4(6.5) + b = 31.50

26 + b = 31.50

b = 31.50 - 26

b = 5.5

Price of turkey sandwich = $6.5

price of ham sandwich = $5.5

This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?


144 square inches
184 square inches
224 square inches
264 square inches

Answers

Answer: C, 224 inches squared

Step-by-step explanation:

When formed into a solid, the triangles are folded upwards to make a pyramid. You can find the surface area by finding the areas of the individual shapes.

There are four triangles with a height of 10 inches and a base of 8 inches.

There is one square with a side length of 8 inches.

Triangle area formula : A = (b * h) / 2

Square area formula: A = s^2

(10 * 8) / 2 = 40

8 ^ 2 = 64

There are four triangles with area of 40 and one square with area of 64.

40 + 40 + 40 + 40 + 64 = 224 inches squared. The correct answer choice is C.

The surface area of the pyramid is 224 in².

What is surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given net will form a square pyramid, so we will find the surface area of the square pyramid.

Therefore,

The area of the pyramid = side² + 2 × side × height

= 8² + 2 × 8 × 10

= 64 + 160

= 224

Hence the surface area of the pyramid is 224 in².

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Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.

What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

1.8 meters
3.7 meters
15.2 meters
18.8 meters

Answers

Answer:

3.7

Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

How to calculate the length of an arc

The length of an arc is expressed as:

L = r theta

Given the following parameters

r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

Hence the lenght of an arc is 3.7meters

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The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4,706, what was the cost of one roll of wrapping paper

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3

Answers

Answer:

A. 144 units³

Step-by-step explanation:

Volume of prism= 1/2×height× base × length

Height= 3

Base= 8

Length= 12

Lets put all of these together

1/2×3 × 8 × 12

1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³

Write the function f(x) that is equal to the derivative of the series, please check my work...

Answers

Step-by-step explanation:

Yes, that is correct.  Well done!

someone plz help it looks easy but I dont understand

Answers

Answer:

Step-by-step explanation:

(√8)²=8,2²+2²=8

√8→2 units,2 units

(√7)²=7,(√5)²+(√2)²=5+2=7

√7→√5 units,√2 units

(√5)²=5,2²+1²=5

√5→2 units ,1 unit

3²=9,2²+(√5)²=9

3→2 units,√5 units.

write an expression for the perimeter of the rectangle given 3x+4 and 2x-3​

Answers

Answer:

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

Step-by-step explanation:

this is because to be able to find the perimeter you use the formula 2(l) + 2(w)

The expression for the perimeter of the rectangle is 10x + 2.

What is the expression for the perimeter of the rectangle?

Given the sides of the rectangle:

Length = 3x+4

Width = 2x-3

To determine the expression for the perimeter of the rectangle, we need to consider that the perimeter of a rectangle is given by the sum of all its sides.

The expression for the perimeter (P) is calculated as follows:

Perimeter = 2(Length + Width)

Plug these values into the perimeter formula:

P = 2(3x+4 + 2x-3)

Now, let's simplify the expression:

P = 2(5x + 1)

Finally, we can further simplify it:

P = 10x + 2

Therefore, the perimeter is 10x + 2.

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Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x

Answers

Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD

Step-by-step explanation:

Bobby is making a cake. The recipe calls for 1( 3)/(4) cups of flour for every( 1)/(8) cups of sugar. How many cups of flour is needed for 1 cup of sugar?
If you want I will give BRAINLIEST >_

Answers

Answer:

5 cups

Step-by-step explanation:

To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups

Answer:

14 cups of flour are needed for 1 cup of sugar.

Step-by-step explanation:

Use a ratio.

cups of flour : cups of sugar

               1 3/4 : 1/8

                     ? : 1

We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.

1 3/4 * 8 = 14

Therefore, 14 cups of flour are needed for 1 cup of sugar.

Tell me if this was helpful:)

c(1)=-20 c(n)=c(n-1)+10 find second term

Answers

Answer:

c(2) = -10

Step-by-step explanation:

c(1)=-20

c(n)=c(n-1)+10

Let n = 2 since n indicates the term number

c(2)=c(2-1)+10

     = c(1) +10

     = -20+10

      = -10

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

$14,000

Step-by-step explanation:

i = prt

i= ($70,000)(.04)(5)

i = $14,000

Answer:

$14000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 70000 × 4/100 × 5

I = $14000

Find two numbers, if their sum is 49 and their difference is 1/2 .

Answers

Answer:

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

Step-by-step explanation:

Let the two numbers be x and y

So we have:

[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]

using the elimination method, add the two equations together:

[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]

solve for x:

[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]

substitute our value for x back into the first equation we made:

[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]

therefore,

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

Simplify the radicals in the given expression:

8^3√a^4b^3c^2-14ab^3√ac^2

8ab√ac^2-14ab^3ac^2

8a^2ba^3√b-14abc^3a

8ab^3ac^2-14ab^3√ac^2

8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"

Answers

Answer: it’s option c

Step-by-step explanation:

Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².

What is radical?

The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.

Given radical

8∛(a⁴b³c²)-14b∛(ac^(2))

Rewriting a⁴b³c² as (ab)³ ac²

8∛((ab)³ac²)-14b∛(ac²)

8ab∛ac² - 14b∛ac²

-6ab∛ac².

Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).

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What is the rate of change

Answers

Answer:

Slope = 0

Step-by-step explanation:

Let's use the equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this problem.

We have two points: (2,0) and (-2, 0)

Let's plug them both into the equation shown above.

[tex]\frac{0 - 0}{-2 - 2}[/tex]

Solve.

0 - 0 = 0

-2 - 2 = -4

[tex]\frac{0}{-4}[/tex] = [tex]-\frac{0}{4}[/tex] = 0

A zero in the numerator means this equation has a slope of 0.

Any line with a slope of 0 is a horizontal line.

Slope (rate of change) = 0


Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30

Answers

Answer:

D) 2x² + 4x - 30

Step-by-step explanation:

Follow the FOIL method:

FOIL =

First

Outside

Inside

Last

...and is the order you multiply to solve:

(x + 5)(2x - 6) =

(x)(2x) = 2x²

(x)(-6) = -6x

(5)(2x) = 10x

(5)(-6) = -30

Combine like terms. Simplify:

2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30

2x² + 4x - 30 is your answer.

~

Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:

Opinion A: Improving the healthcare system is more important than improving the education system.

Opinion B: Improving the education system is more important than improving the healthcare system.

Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."

The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."

Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)

Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)

Answers

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

help plssssssssssssssssss

Answers

Answer:

80

Step-by-step explanation:

BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE

BRAINLEST PLEASE

There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

Answers

Answer:

c

Step-by-step explanation:

The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

Given:

The number of violet balls is 2.

The number of pink balls is 4.

To find:

The probability of getting violet first and pink next, if the first ball drawn is replaced.

Explanation:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Total number of balls is:

[tex]2+4=6[/tex]

The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].

The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].

The probability of getting violet first and pink next, if the first ball drawn is replaced is:

[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]

[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]

[tex]P=\dfrac{2}{9}[/tex]

Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

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Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?

Answers

Answer:

Step-by-step explanation:

The formula for a perimeter of a rectangle = 2(L+B)

= 2L+2B

Where L and B are length and breadth respectively.

The question says ;

2cm = 2(L+B)

2cm = 2L+2B

Divide both sides by 2

1 = L+B

If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm

When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm

Solve for x2= 9/49. Show your step-by-step.

Answers

Answer:

x = [tex]\frac{3}{7}[/tex], x = [tex]\frac{-3}{7}[/tex]

Step-by-step explanation:

The first step is to get rid of the square on the x, and to get rid of it, you square root both sides of the equation, like so:

[tex]x^{2} = \frac{9}{49}[/tex]

[tex]\sqrt{x^2} = \sqrt{\frac{9}{49} }[/tex]

A perfect square is when a number has two factors that are identical to one another. In this case, 9 and 49 are both perfect squares, meaning we can break them down:

The square root of 9 is 3. (3 · 3 = 9)

The square root of 49 is 7. (7 · 7 = 49)

x = [tex]\frac{3}{7}[/tex]

The answer is also x = [tex]\frac{-3}{7}[/tex] because a negative · a negative = a positive.

The algebraic expression below is a polynomial.
(x-1^k)
where k is a real number.
Please select the best answer from the choices provided
T
F

Answers

Answer:

T

Step-by-step explanation:

Just did it

an isosceles trapezoid is a trapezoid with congruent legs. true or false?

Answers

Answer:

true

Step-by-step explanation:

If a trapezoid has congruent legs, it is an isosceles trapezoid.

Hope this helps.

It is true, that an isosceles trapezoid is a trapezoid with congruent legs.

A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.

What is geometry?

It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.

Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.


Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.

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The volume of a cylinder is 40 Feet cubed. Which expression represents the volume of a cone with the same base and height as the cylinder?

Answers

Answer:

40/3 feet³

Step-by-step explanation:

Volume of cylinder = 3 × volume of cone with same base and height

40 = 3 × Volume of cone

Volume of cone = 40/3 feet³

Answer:

I think da answer is C on edge

Step-by-step explanation:

what is the 7th term in the sequence 48,40, 32, 24,

Answers

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s


The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?

Answers

Answer: 0.75

Step-by-step explanation: just had the question on usa tp

Take a number from 2 to 9
Double it
Again double it
Add the number you took
first to the answer
Now again double it
Divide by 10 what did you got
ans below which no. did you took and what did you get the ans​

Answers

Answer:

7

Step-by-step explanation:

It worked my number was 7.

7*2=14

14*2=24

24+7=35

35*2=70

70/10=7

7!!!

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters

Answers

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

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