Find the surface area of the prism.

Find The Surface Area Of The Prism.

Answers

Answer 1

Answer:

The surface area of the prism is 386m²

Step-by-step explanation:

The surface area of a box is equal to the sum of the areas of each side of the box.

[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (width) \times (height)[/tex]

Substitute the values of the length l=15, the width w=7, and the height h=4 into the formula.

[tex]2 \times 15 \times 7 + 2 \times 15 \times 4 + 2 \times 7 \times 4[/tex]

Simplify each term.

[tex]210 + 120 + 56[/tex]

Simplify by adding numbers.

[tex]386m ^{2} [/tex]

Hence, the Surface area of this prism is 386m².


Related Questions

Half of a circular cake is left after a party. A piece of cake with a 25° angle is eaten. What is the angle in the piece that is left?

A. 155
B. 205
C. 165
D. 145

Answers

Answer:

its 155

Step-by-step explanation:

360/2

180-25

155

The 155° angle in the piece that is left if the piece of cake with a 25° angle is eaten option (A) is correct.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have half of a circular cake is left after a party.

A piece of cake with a 25° angle is eaten.

We know the circle is a complete revolution of lines that joins from a fixed point to point at a certain distance; makes an angle 0f 360°

half of a circular cake with an angle = 360°/2  ⇒ 180°

25° angle piece eaten, then the remaining left portion:

= 180° - 25°

= 155°

Thus, the 155° angle in the piece that is left if the piece of cake with a 25° angle is eaten.

Learn more about circle here:

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Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up

Answers

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg

A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.

Answers

9514 1404 393

Answer:

  310 calories (120 from fat)

Step-by-step explanation:

A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...

  (1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza

Write an equivalent expression for h + h + h + n + r + r + n

Answers

Answer:

h3 + r2 + n2

Step-by-step explanation:

Answer:

3h+2n+2r

Step-by-step explanation:

I believe you just combine like terms. Since there are 3 hs, 2 ns, and 2 rs, you just them all up and you get 3h+2n+2r.

I hope this helped you!

A bike tire advertises that it is designed to be used for at least 4,000 km of riding. If the diameter of the tire is 0.7 m, how many rotations of the tire against the ground is that guaranteed, to the nearest thousand? There are 1,000 meters in a kilometer.

Answers

Answer:

1820000 rotations

Step-by-step explanation:

Circumference of the tire:

C = πd = 3.14*0.7 = 2.198 m

Number of rotations:

4000*1000/2.198 = 1820000 (rounded)

Choose the equation that best describes the image

Answers

Answer:

80 degrees - 43 degrees = ?

Step-by-step explanation:

80-43 degrees I think x

Please Help! What decimal is less than 0.4?

Answers

The decimal 0.7 is less than 0.4.

We have to determine

decimal is less than 0.4

What is the decimal?

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.

We know that the decimal numbers increase in size as we move to

The right on the number line

0.4 is less than 0.7.

Let us now compare 1.57 and 1.6.

Therefore, The decimal 0.7 is less than 0.4.

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The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.

Answers

Answer:

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Sample of 9000, 51% of students had at least one parent who was a college graduate.

This means that [tex]n = 9000, \pi = 0.51[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Drag each capacity to match it to an equivalent capacity.
24 cups
1 gallon
16 fluid ounces
6 pints
Capacity
Equivalent Capacity
2 cups
96 ounces
12 pints
4 quarts



HELP ME

Answers

Answer:

2 cups         ⇔ 16 fluid ounces 96 ounces   ⇔ 6 pints 12 pints        ⇔ 24 cups 4 quarts       ⇔ 1 gallon

Also see attached

Answer:

Solution:

2 cups=16 fluid ounches

96 ounces=6pints

12 pints=24cups

4 quarts=1 gallon

Suppose 12% of students surveyed said they have tried riding a zip line.

a. How many would say they have tried riding a zip line if 100 students were surveyed.

Answers

Answer:

12.

12% of 100= 12.

How many lines of symmetry does the figure below have?

Answers

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions

Please Help me with this thank you

Answers

The shaded part makes a triangle and in order to find the area of a triangle. You do base times height times 1/2. Because a triangle is half of a square or rectangle. The answer would be 3 times 4 divided times 1/2 which is 6

help anyone like asap plss​

Answers

Answer: G. (-6,4), (3,5), (2,2) and (-5,1) just look where the dot plot is and you with know the answer.

Step-by-step explanation: Hope this help :)

Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.

If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units

Answers

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

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Help me please I need the help

Answers

Answer:

p - 3

Step-by-step explanation:

Key expression: 3 fewer than

Fewer than = subtract from

subtract 3 from a number, p

This means that the expression would be p - 3

Because you are subtracting 3 from a number ( p )

An entry code into a building is a 5-digit number.
The number of different codes can be counted using
a. permutations
b. combinations

Answers

Answer:B

Step-by-step explanation:

A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3

Answers

Answer:

The right answer is approximately 210.031 cubic inches. (Answer: E)

Step-by-step explanation:

First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:

[tex]D = 7\,in + \frac{3}{8}\,in[/tex]

[tex]D = \frac{56 + 3}{8}\,in[/tex]

[tex]D = \frac{59}{8}\,in[/tex]

[tex]D \approx 7.375\,in[/tex]

The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:

[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)

If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:

[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]

[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]

[tex]V \approx 210.031\,in^{3}[/tex]

Hence, the right answer is approximately 210.031 cubic inches.

solve for x. need help pls

Answers

Wouldnt x be 20? Sorry if I’m wrong :(

1/20 + x = 1/10 what is the value of x

Answers

Answer:

1/20

Step-by-step explanation:

1/20 +x = ⅒

multiply through by 20

1+20x=2

1-2=-20x

-1= -20x

1/20=x

factor the polynominal 5x^2y + 6x^2y^3 - 3x^3y^2

Answers

Answer: x^(2)y(5+6y^(2)-3xy)

Step-by-step explanation: Factor x^(2)y out of 5x^(2)y + 6x^(2)y^(3)- 3 x^(3)y^(2)

brainliest or a thank you please! :) <33

Devaughn is 7 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?

Answers

Answer:

Sydney is 72 years old

Step-by-step explanation:

My friends name is Sydney too lol

The product of 3m and 5r is 15mr True or False Explain...

Answers

Step-by-step explanation:

let's see....

3m × 5r = 15mr

15(m × r)

15mr.

if it helps don't forget to like and mark me down

What’s the correct answer for this question?

Answers

Hopes this helps:

Answer: D.

1. Simplify 12/18 to 2/3.
2/3 = 16/24


2. Simplify 16/24 to 2/3.
2/3 = 2/3


3. Some both sides equal, there are infinitely many solutions.

The area of a SQUARE is 22 ft2. Which of the following is the closest to
the length of each SIDE of the square?

Answers

Answer:

4.7ft

Step-by-step explanation:

Hello, the answer would be 4.7ft because 4.7^2 is closest to 22ft^2 with it being 22.09ft^2.

A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipment?

Answers

Answer:

10 is the answer

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

120 because 20% of the 150 balls is 30 or right so forth the football is a subtract the 150 from the 30 which gives you 120

Question 6 of 10
A(n) is produced when you slice a cone with a plane that is parallel to
the base of the cone.
A. parabola
Ο Ο Ο
B. circle
C. hyperbola
D. ellipse
SUBMIT

Answers

So it is B! Good luck

The correct option is (b) circle .

The conic section formed by the cone and a plane parallel to its base is a circle.The surface of a right-regular cone and a plane parallel to the base of the cone cross to form the closed figure known as a circle. The ellipse, which we'll discuss next, is actually just a special instance of the circle.

What is conic?Any curve created by the intersection of a plane and a right circular cone is known in geometry as a conic section, sometimes known as a conic. The intersection can be a circle, an ellipse, a hyperbola, or a parabola, depending on the angle the plane makes with the cone.

What conic section is formed from slicing parallel to the base of the cone ?

The resulting curve is a circle if the cone is cut in half parallel to the base. The curve is known as an ellipse if the cone is cut at a modest angle. The curve generated is known as a parabola if the slice is done parallel to the cone's edge.

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The product of a number and 5 increased by 12 is 42. What is the number?

Answers

Answer:

6.

Step-by-step explanation:

6×5 = 30 (product=multiplication)

30+12=42 (increased=addition)

So, the answer is 6.

what is the y-intercept of the line that goes through (0, 0) (6, 3)

Answers

Answer:

QUESTION:

what is the y-intercept of the line that goes through (0, 0) (6, 3)

ANSWER:

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

Slope: 1/2

y-intercept: (0,0)

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.  

Help please it’s urgent I’ll mark brainliest

Answers

Answer:

A

Step-by-step explanation:

isnt it just A right?

Answer:

i believe its 60. sorry if incorrect

Step-by-step explanation:

When Melissa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. Find the total amount in the account after 18 years. *

Answers

Answer:

$20,960

Step-by-step explanation:

Melissa's parent saved 8 000 dollars in the bank for her college fund account. It earns 9% annual interest. After 18 years, how much interest will it accumulate and how much is the total amount that Melissa will have fore her college fund.=> 9% = 9% / 100% = 0.09Let's find the annuak interest first => 8 000 dollars * .09 = 720 dollars The, let's find the after 18 years interest=> 720 dollars * 18 = 12 960 dollarsTotal of the amount: => 8 000 + 12 960 = 20 960 dollars

This is the same as the one above me but in simpler terms

Step-by-step explanation:

I =8000 x 9 x 18 =12,960

Total amount = 12960 +8000= $20,960

Answer:

$12960

Step-by-step explanation:

A=P(1+rt)

8000(1 + (0.09 × 18)) = 20960

A = $20,960.

I = A - P

I=20960-8000

ANS=$12960

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