Work out the surface area of this solid prism.

Work Out The Surface Area Of This Solid Prism.

Answers

Answer 1
Area of the 3 rectangles that make up the prism:
30 * 25 + 30 * 17 + 30 * 28 = 2100
Area of the two triangles at either end:
Use bh/2
(15 * 28)/2 = 210
There are two so it’s 420
2100 + 420 = 2520cm^2
Answer 2

Answer:

[tex]2( \frac{1}{2} \times 15 \times 28 ) + ( 25 \times 30 ) + ( 17 \times 30) + ( 28 \times 30 ) \\ = 2520 {cm}^{2}[/tex]


Related Questions

Please help ASAP!!!!!

Answer the question in the image.

Answers

Answer:

151.7

Step-by-step explanation:

You find volume with length times width times height. The length is 3.7. The height is 10 and the width is 4.1. When you multiply together you get 151.7.

Answer:

Step-by-step explanation: The answer is 151.7 because the formula for volume is volume= length(width)(height). You need to multiply all three values to receive the answer of 151.7 cm cubed.

Points A, B, and C are collinear and B is between A and C. You are given AC = 18 and BC = 4. What is the value of AB?

Answers

Answer:

The value of AB is 14

Step-by-step explanation:

When we say a set of points are collinear, what we mean is that those points are on the same straight line i.e they lie on a straight line.

Now B is between A and C

Since B is between A and C

Then mathematically;

AC = AB + BC

18 = AB + 4

AB = 18-4

AB = 14

Based on the segment addition theorem, the value of AB would be: 14.

What is Segment Addition Theorem?

Given that three points, A, B, and C are collinear, where b is between points A and C, the segment addition theorem states that, AB + BC = AC.

Given:

AC = 18BC = 4AB = ?

Thus:

AB + 4 = 18 (segment addition theorem)\

AB = 18 - 4

AB = 14

Thus, based on the segment addition theorem, the value of AB would be: 14.

Learn more about segment addition theorem on:

https://brainly.com/question/1397818

For which of the following graphs would it make sense to connect
the points?
a. a graph showing the amount of Karl's monthly rent
b. a graph showing the number of signatures on a petition
c. a graph of the temperature at each hour during the day
d. a graph showing the number of raffle tickets sold

Answers

I think that the correct answer to the question is A

Which two of the following are continuous data?
A) concert attendance
B) age of a student
C) number of pens in a box
D) time taken to run 1 mile

Answers

Answer:

Age of a student (B) and Time taken you run 1 mile (D)

Step-by-step explanation:

Only the age of a student and the time taken to run 1 mile are continuous data.

What are the types of data?

The data is classified into majorly four categories:

Nominal data: Nominal Data is used to label variables without any order or quantitative value.Ordinal data: Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Discrete data: The term discrete means distinct or separate. The discrete data contain the values that fall under integers or whole numbers.Continuous data: Continuous data are in the form of fractional numbers. It can be the version of an android phone, the height of a person, the length of an object, etc. Continuous data represents information that can be divided into smaller levels. The continuous variable can take any value within a range.

As per the given definitions above we can state that Continuous data is (B) the Age of the students (D) the Time taken to run 1 mile

Therefore, the Answer is (B) and (D)

Learn more about data here:

https://brainly.com/question/10980404

#SPJ1

Write an equation to represent the following statement.
The sum of j and 47 is 55.

Answers

Answer:

J plus 47 = 55

If you need to find J

The value of J is

J=55-47

J=8

Step-by-step explanation

Someone help me with this please

Answers

Answer:

60    88

Step-by-step explanation:

khn566

Answer:

60 and 88

Step-by-step explanation:

Choose the graph that represents the linear equation 6x - 2y = 12. *
9

Answers

Answer: x-intercept = 2, y-intercept = -6

Step-by-step explanation:

To solve this problem, we must first convert 6x - 2y = 12 to slope-intercept form by getting y by itself.

1. 6x - 2y = 12

2. -2y = 12 - 6x

3. -2y/-2 = 12/-2 - 6x/-2

y = 3x - 6

Using our knowledge of what the slope-formula represents, we know that the -6 is the y-intercept.

To find the x-intercept, we set the formula equal to 0 instead of y and solve for x.

1. 0 = 3x - 6

2. 0 + 6 = 3x

3. 6/3 = 3x/3

x = 2

I can't figure this question out can I please have help with this question​

Answers

Answer:

360 or 90

Step-by-step explanation:

if u turn it 360 then u turn it all around and it is as u started with it at beginning and if 90 then u turn it half way but it still looks the same

Ms. Ahmed has a rectangular garden where she grows tomatoes. The length of her garden is represented by t + 4 and the width by 2t - 1. Express the area of Ms. Ahmed's garden as a polynomial in standard form. If the area of Ms. Ahmed's garden is 56 ft2, what are the dimensions of the garden?

Answers

Answer:

Area of the garden in standard form:

Area = (2t^2) + 7t - 4

The dimension of the garden is 8ft × 7ft

Step-by-step explanation:

Length of the rectangular garden, L = t+4

Width of the garden, B = 2t - 1

Area = length * width

Area = (t+4) * ( 2t-1)

Area = (2t^2) + 7t - 4..….......(1)

If the Area = 56 ft^2

Substitute Area into (1)

56 = (2t^2) + 7t - 4

(2t^2) + 7t - 60 = 0

(2t^2) - 8t + 15t - 60 = 0

2t(t - 4) + 15(t - 4) = 0

(2t+15) (t-4) = 0

Let 2t + 15 =0

t = -7.5

Let t - 4 = 0

t = 4

* When t = -7.5

Length, L = -7.5 + 4 = -3.5 ft

Width, B = 2(-7.5) -1 = -16 ft

Since length and breadth cannot be negative, t = -7.5 is not possible

** When t = 4

Length, L = 4+4 = 8 ft

Width, B = 2(4) - 1 = 7 ft

Therefore, the dimension of the garden is 8ft × 7ft

Answer:

The dimension is 8ft by 7ft

Step-by-step explanation:

Given data

Length l =  [tex](t+4)[/tex]

Width w=  [tex](2t-1)[/tex]

the area  is expressed as  [tex]A= length * width[/tex]

[tex]A= (t+4)*(2t-1)\\A= t(2t-1) +4(2t-1)\\A= 2t^{2}-t+8t-4\\[/tex]

collecting like terms we have

[tex]A= 2t^{2} +7t-4[/tex]

hence our expression for area is [tex]A= 2t^{2} +7t-4[/tex]

given that the area is [tex]56ft^{2}[/tex]  to solve for the sides we need to first solve fot t

equating the expression for area to 56 we can solve for t

[tex]A= 2t^{2} +7t-4= 56[/tex]

taking the constant term to the other side and solve we have

[tex]A= 2t^{2} +7t-4-56\\A= 2t^{2} +7t-60\\[/tex]

we can substitute two factors for 7t that when multiplied we give -60 and when added we give 7  these factors are 15 and -8

[tex]A= 2t^{2} +7t-60\\\\A= 2t^{2} -8t+15t-60\\2t^{2} -8t+15t-60=0\\\\2t(t-4) +15(t-4)= 0\\2t+15=0, (t-4)= 0\\2t=-15, t= -7.5\\t= 4[/tex]

t=4  hence the length is

[tex](t+4)\\(4+4)= 8ft\\[/tex]

hence the width  is

[tex](2t-1)\\(2*4-1)= (8-1)= 7ft[/tex]

What is the domain of the function f(x)=x^2+3x+5?
OA
all whole numbers
OB.
all positive real numbers
O c. all integers
OD. all real numbers

Answers

Answer:

all real numbers

Step-by-step explanation:

Answer:

The domain of this function is all real numbers

Step-by-step explanation:

Unless there is a domain restriction for the function, the domain of a function is all real numbers. This means that all we need to do is determine whether there is a domain restriction.

The things that cause a domain restriction are: an x in the denominator of a fraction like [tex]f(x)=\frac{1}{x}[/tex] or a radical like [tex]f(x)=\sqrt{1-x}[/tex]

As there are no variables in the denominator or a radical, we can conclude that the domain of this function is all real numbers.

Mark spent $73.43 on some CDs. He purchased 7 CDs. What was the price of each CD?

Answers

Answer:

$10.49

Step-by-step explanation:

if the problem doesn't account for tax, 73.43 divided by 7 is 10.49

The answer is 10.49 if you divide 73.43 by 7

4(t+25)=4(t+50)−4(0.15t) sove for t step by step

Answers

Answer:

500/3.

Step-by-step explanation:

4(t+25)=4(t+50)−4(0.15t)

4t + 100 = 4t + 200 - 0.6t

Subtract 4t from both sides

100 = 200 - 0.6t

-0.6t + 200 = 100

-0.6t = -100

0.6t = 100

6t = 1,000

3t = 500

t = 500/3, or 166.6666667, or 166 and 2/3.

Hope this helps!

What is the area of the rectangle?

Answers

Answer:

Root square 25² - 15² = 20

Area = 20×15 = 300 cm²

Can u add me as Brainest pls?

This net can be folded to form a cube with a side length of 20 units. A cube has side lengths of 20 units. What is the surface area of the cube in square units? 1,400 square units 2,400 square units 4,800 square units 8,000 square units

Answers

Answer:

2400

Step-by-step explanation:

Answer:

2,400 square units / B

Step-by-step explanation:

A. 30.0 in
B. 7.5
C. 10.8
D. 27.6in

Answers

Answer:

A

Step-by-step explanation:

Do you think it is possible to create a triangle with sides that measure 2 inches, 2 inches, and 4 inches long?

Answers

Answer:

No

Step-by-step explanation:

2+4 > 4

2+2 is not > 4

Nathan took his car in for service and repair. He had a coupon for 15% off. $261.36 $381.25 $77.52 Which amount is closest to Nathan's total costs after the 15% discount and 7% sales tax?

Answers

Answer:

Total amount to be paid = $655

Step-by-step explanation:

Given,

Total price before coupon is  = 261.36 +381.25+77.52

= $720.13

Discount = 15%

Amount of discount = 15% of total amount

Amount of discount = [tex]\frac{15}{100} \times 720.13[/tex]

= $108.02

Remaining amount = Total amount - discount amount

Remaining amount = $720.13 - $108.02

= $612.11

Sales tax = 6%

Amount of sales tax = 6% of remaining amount

[tex]=\frac{6}{100} \times 612.11\\\\=42.85[/tex]

Amount to be paid = Remaining amount + sales tax

= 612.11 + 42.85

= 654.96

Rounding off to nearest whole number;

Total amount to be paid = $655

Find the total volume of the figure.

Answers

Answer:

=  2617.9938779915 meters3

Step-by-step explanation:

Base Radius (r): 10m

Height (h): 25m

Volume =  

1  πr2h

3

=  

1 ×π×102×25

3

=  2617.9938779915 meters

Hope this helps.

Explain the significance of m and b in y = mx + b.

Answers

Answer:

the slope of the equation

Slope of an equitation

Which two expressions have the same value?

Answers

Answer:

a.

Step-by-step explanation:

i don't know the explanation step by step

17. The length, breadth and height of a cuboid are doubled. What happens to its
surface area?
A.It is doubled.
B.It becomes four times.
C It becomes eight times.
D. (Nothing can be said with out knowing the dimensions of the cuboid.)

guys please tell the answer for this question....please.....

Answers

Answer:

D.

Step-by-step explanation:

Try any example and double

you will find that A is incorrect

B) incorrect

C incorrect

D is my answer.

3. The temperature dropped 5 degrees each hour for 7 h. Use an integer to represent
the total change in temperature.

Answers

sallycamerfor

14 in total

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sallycamerfor

thats all i came here for

Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z takes 25 hours. If the city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to, how far will Train Z travel in total to reach its destination?

a) 1,200 miles
b) 480 miles
c) 2,400 miles
d) 2,000 miles
e) 1,600 miles

Answers

Answer:

The equation that best models this situation is : b.

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

Let length of the trip of Train W be =  miles

Speed of Train W can be given as :

So, the length of the trip of Train Z will be =  miles

Speed of Train Z can be given as :

Since the speeds are same, so the equation to find  can be given as:

Solving for

Multiplying both sides by 100 to remove fractions.

Using distribution.

Subtracting both sides by

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z =  = 2,000 miles

Kevin won two goldfish at the county fair. He put them in a bowl with 2 liters of water. The next day, he bought a fish tank that holds 75 liters of water.How much more water does the tank hold than the bowl?

Answers

Answer:

UDCVUEGBCYEJJAJAJ

Step-by-step explanation:

Express x in term of y:x/7+2y=6​

Answers

Answer:

You have to multiply the denorminator to both sides in order to make x the subject :

[tex] \frac{x}{7 + 2y} = 6[/tex]

[tex]x = 6(7 + 2y)[/tex]

Answer:

Given

x/7 + 2y = 6

Multiply through by 7 to clear the fraction

x + 14y = 42 ( subtract 14y from both sides )

x = 42 - 14y

Step-by-step explanation:

what is the area of a circle with a radius of 1 foot
1/4 pi ft square
1/2 pi ft square
pi ft square
2 pi ft square​

Answers

Pi ft square.
A=pie x radius^2
1 times 1=1.
Pi times 1 equal 1
Pi ft square

does anyone know the answer for top and bottom? please help

Answers

Answer:

15/18=5/6

14/18=7/9

the last symbol

Step-by-step explanation:

Answer:

For the first part (the part on the top), you have to make the fractions have the same denominator. To do this, you must find the LCM (least common multiple) of 6 and 9. The LCM of 6 and 9 would be 18 because 6x3=18 and 9x2=18. Now, both of the denominators are 18. But we still have to change the numerators! To change the numerators, we must multiply them by the same numbers that we multiplied the denominators by. So for 5/6, we would multiply the 5 (the numerator) by 3 because that is what we multiplied the 6 by. 5x3=15. So now the first fraction, 5/6, is 15/18 (that's the answer). For 7/9, we still have to multiply the 7 (the numerator) by 2. 7x2=14. So now this fraction, 7/9, is 14/18 (that's the answer).

So basically what I was saying is that 5/6=15/18 and 7/9=14/18.

For the second part (the part on the bottom), you have to compare the fractions. It is difficult right now as it is written as 5/6 and 7/9. But remember what we did for the first part! Think about these fractions as 15/18 and 14/18. 15/18 is larger than 14/18. So the answer for the part on the bottom is 5/6 > 7/9.

Hope this helps! :)

2^8-10-15÷3

can you help me plzzzz

Answers

Answer:

241

Step-by-step explanation:

Simplify the following:

2^8 - 10 - 15/3

The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:

2^8 - 10 + -5

2^8 = (2^4)^2 = ((2^2)^2)^2:

((2^2)^2)^2 - 10 - 5

2^2 = 4:

(4^2)^2 - 10 - 5

4^2 = 16:

16^2 - 10 - 5

| 1 | 6

× | 1 | 6

| 9 | 6

1 | 6 | 0

2 | 5 | 6:

256 - 10 - 5

256 - 10 - 5 = 256 - (10 + 5):

256 - (10 + 5)

10 + 5 = 15:

256 - 15

| 2 | 5 | 6

- | | 1 | 5

| 2 | 4 | 1:

Answer: 241

Answer:

The answer is 241

Step-by-step explanation:

P: None

E: 2^8= 256

256-10-15/3

M: None

D: 15/3= 5

256-10-5

A: None

S: 256-10-5=241

Hope this helps...

Find the quotient: 8,441 ÷ 21 = ________. a. 400 r 12 b. 400 r 20 c. 401 r 12 d. 400 r 20

Answers

I Believe that the correct answer is option C) 401 r

8,441 ÷ 21 = 401.952380952

HOPE THIS HELPED!!!

If not please comment below

An airplane took off and flew at an angle of elevation 12° with the ground. What was the approximate altitude of the airplane, (high how is the plane directly from the ground), after it had flown 8,000 meters (hypotenuse)?

Answers

Answer:

1663 m approx.

Step-by-step explanation:

We have a right triangle in which we know the hypotenuse and need to find the opposite side, so we use the sine function:

sin 12 = h / 8000

h = 8000 sin 12

= 1663 m approx.

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