2 Points
What is the surface area of the cube below?
A. 96 units2
B. 64 units2
C. 80 units2
D. 120 units2

Answer:

252 ft²

Step-by-step explanation:

A triangular prism has three rectangles and two triangles, to find the surface area, first find the surface area of thee rectangles and then the surface area of the triangles. After that add all the surface area.

For rectangle 1, surface area = 20 × 3 = 60 ft²

For rectangle 2, surface area = 20 × 4 = 80 ft²

For rectangle 3, surface area = 20 × 5 = 100 ft²

The triangle has height, base and hypotenuse. 5 ft is the hypotenuse and the height and base are 3 ft and 4 ft.

5² = 3² + 4²

For the triangle, the surface area =  1/2 × base × height = 1/2 × 3 × 4 = 6 ft²

Total surface are = 60 + 80 + 100 + 2(6) = 252 ft²

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1 - Person already infected

10 - People who got the virus

1 + 10 = 11

If two angles are supplementary, then

the sum of their measures is 180°.

So if the measure of an angle is 77°,

the measure of its supplement is 103°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 77 or 103°.

Answer:

then the other angle measures _1_0_3_.

Answer:

The answer is B. 4b-2

Step-by-step explanation:

Amy sold 3b-2 and Brenda sold b

If we add them together, their sum would be

3b-2+b= 4b-2

Answer:

Step-by-step explanation:

Answer:

72.22 ft

Step-by-step explanation:

The circumference is calculated by pi x d

Answer:

About  72.3 feet

To be exact:   The distance around the pool is  23π  feet

Step-by-step explanation:

The question asks for the distance around the pool.

What does that mean?

It sounds similar to circumference of the circle shaped pool.

So, use the formula:  C = (pi)*d

C = (pi) * 23 feet

C = 3.1415926  * 23 =  72.256 feet   (approximately)

Answer: 625 meters

Step-by-step explanation: Five hundred meters of pipe would require twenty men working for ten days.

First, we have to find the rate of work for one man. This is calculated thus:

(500m) ÷ (20men × 10 days) = 500 ÷ 200 = (5/2) = 2.5 meters per day

From the rate of work of one man, we can then calculate the length in meters that fifty men can lay in five days. This is calculated thus:

50 men × (5/2) × 5 days = 50 × 2.5 × 5 = 625 meters.

Therefore, fifty men working together would lay six hundred and twenty five (625) meters of pipe in five days.

Answer:

We equate the two expressions since they both pass through the center of the circle.

The coordinate of the center of the circle is (2,4)

Step-by-step explanation:

From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.

Since both equations would pass through the center of the circle, we equate them.

So, -2x+8 = 3x-2

Solving for x, we have

3x + 2x = 8 + 2

5x = 10

x = 10/5

x = 2

Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.

y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4

So, the coordinate of the center of the circle is (2,4)

Personal Answer:

The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.

Plato Sample Answer:

Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.

I hope this helps!

Answer:

4x-36

Step-by-step explanation:

3x+x=4x

Answer:

4(x - 9)

Step-by-step explanation:

x + 3x - 36 =

= 4x - 36

= 4(x - 9)

Answer:

Triangle PQR has right angle R (R = 90 deg).

=> RQ and RP are adjacent sides, PQ is hypotenuse

=> cos Q = QR/PQ

=> Option B is correct

Hope this helps!

:)

Answer:

the center is (-2,2) and the radius is 5

Answer:

Center: (-2,2)

Radius:5

Step-by-step explanation:

The first step in this problem is to complete the square and to find the equation of this circle in standard form.

[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:

[tex]x^2+4x+y^2-4y=17[/tex]

Now, you can begin to complete the square with both the x and the y:

[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]

Adding 8 to both sides and finishing the squares:

[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]

The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!

Answer:

the answer is 75 percent

Answer:

(4x+1)^2

Step-by-step explanation:

Anything times itself is itself squared

Answer:

8x+2

Step-by-step explanation:

(4x+1) (4x+1)

= 8x + 2

Answer:

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Step-by-step explanation:

From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Answer:

- The mean, median and modal students' grades are all grade 70.

- The degree of spread of the grades about the mean grade is in grade value of the standard deviation, 15.

- Half of the class score grade 70 and beyond and half of the class also score grade 70 and below.

- 68% of the class score between grade 55 and 85.

- 95% of the class score between grade 40 and 100.

Step-by-step explanation:

If the normal distribution curve of the students' grades has a xbar = 70, and a σ = 15, it translates that the mean, median and the modal student grade is 70 because a normal distribution is that symmetric about the center of the distribution and the spread of the grades away from grade 70 is in grade scores of 15, the standard deviation.

It also directly mean that half of the distribution exist at grade 70 and above and the other half exists at grade 70 and below.

The empirical rule also explains further that 68% of the distribution exists between one standard deviation of the mean, that is;

68% of the distribution exists between (70±15) = (55, 85)

95% of the distribution exists between two standard deviations of the mean.

[70±(2×15)] = (40, 100)

Hope this Helps!!!

Answer:

Sample Response: By analyzing the curve, you can tell that the average, or mean, grade is 70. This is also the median of the grades, so we know that one half of the scores are less than or equal to 70, and the other half of the scores are greater than or equal to 70. The bulk of the scores are between 55 and 85.

Step-by-step explanation:

What did you include in your response? Check all that apply.

The mean and median of the scores is 70.

Most of the scores are between 55 and 85.

Half of the scores are less than or equal to 70, while the other half are greater than or equal to 70.

Answer:

The velocity of money is 6.

Step-by-step explanation:

Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.

Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.

      i.e                      V = [tex]\frac{P * Y}{M}[/tex]

where: V is the velocity of money, P x Y is the nominal GDP  i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.

Given that, nominal GDP = 2400 and money supply = 400, then;

               V = [tex]\frac{2400}{400}[/tex]

                  = 6

Therefore the velocity of money is 6.

Answer:

2.64

Step-by-step explanation:

The 8 in the thousandths place can round up to .64

Answer:

The answer is C

Step-by-step explanation:

Answer:

ig D)))))))...

Step-by-step explanation:

......

6*4x = 24x

6*(-10) = -60

24x - 60 = 84

Add 60 to both sides

24x = 144

Divide both sides by 24

x = 6

The total finance charge over the course of his loan is $2071.20.

It is required to find the total finance charge.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given that:

Loan= $15,000

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.

The sum of those 48 payments is ...

=48 × $23.71 =

 =$1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.

so his total finance charge will be

= 15 × $138.08

= $2071.20

Therefore, the total finance charge over the course of his loan is $2071.20.

Learn more about simple & compound interest here:

https://brainly.com/question/16666364

#SPJ5

Answer:

D.

$2,071.20

Step-by-step explanation:

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]

For x = 78, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

Answer:

whar state ment

Step-by-step explanation:

Answer:D is a rectangle

Step-by-step explanation:

Answer:

£40

Step-by-step explanation:

£30 represents 3 parts of the ratio that Fiona got.

Divide £30 by 3 to find the value of one part of the ratio

£30 ÷ 3 = £10 ← value of 1 part of the ratio

They won £30 + £10 = £40

Answer:

(4;0)

Step-by-step explanation:

y=0

2x-3×0=8

2x=8

x=4

d or DC

Hope this helps!! :)

Answer: 150.80 inches.

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.

Answer:

200 minutes

Step-by-step explanation:

16.95 + 0.05 x = 22.95 + 0.02 x

0.05 x - 0.02 x = 22.95 - 16.95

0.03 x = 6.00

x = 6.00 / 0.03 = 600 / 3 = 200

Answer:

200 minutes

Step-by-step explanation:

First you need to make two equations for the rates of each telephone company

The first equation will be y = 0.05x +16.95 and the second equation will be

y = 0.02x + 22.95

Then you need to set the two equations equal to each other in order to find where the number of minutes of local calls per month is the same

Answer: No

Step-by-step explanation:

Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.

Mean should be used for average values

Answer:

da ba dee da ba doo im blue

Step-by-step explanation:

Grace made a dot plot showing the distances she ran each day for two weeks.

She says that she usually runs 7 miles each day because that is the distance that occurs most often.

Do you agree with Grace’s reasoning?

Use the drop-down menus to explain and show your answer.

Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.

The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.

Answer:

30%

Step-by-step explanation:

Seems as if that lamb was thiccccca than what you thought