Find the surface area of each prism

Find The Surface Area Of Each Prism

Answers

Answer 1

Answer:

3.  SA =  876 [tex]in^{2}[/tex]

4.  SA =  161 [tex]ft^{2}[/tex]

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 [tex]in^{2}[/tex]

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 [tex]ft^{2}[/tex]


Related Questions

Solve for y.
6y - 2x = 20
Simplify fractions completely.
[?]
y =
= 4x + 1
+
Enter

Answers

Answer:

y= 10/3 + x/3

Step-by-step explanation:

not sure how to explain this

The value of y for the given equation is y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex].

What is a linear equation?

A linear equation is an equation where the maximum power of the variable is one. A linear equation may contain more than one variables. However, the highest power of any variable must be one.

Here, a linear equation is given that contains two variables x and y.

Therefore, 6y - 2x = 20

⇒ 6y = 2x + 20

⇒ y = (2x + 20)/6

⇒ y = [tex]\frac{2x}{6}[/tex] + [tex]\frac{20}{6}[/tex]  

⇒ y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex]

Hence, the value of y is   [tex](\frac{x}{3}+\frac{10}{3})[/tex]

Learn more about a linear equation here: https://brainly.com/question/21835898

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13. On a snow day, the temperature at 8 AM was 2°F. Later in the day the temperature rose 6º. What was the resulting temperature?​

Answers

The resulting temperature was 8°F.

simplify (3x^2y3)^3 / x3

Answers

Ok done. Thank to me:>

kimi is running for student body president. her friend, sarah, already helped by posting 12 of her campaign signs around the school. now kimi id posting the rest at a rate og 1.5 signs per minute. write an equation that shows the total number of signs posted, y, depends on the number of minutes

Answers

the answer: y=1.5x+12

Amrit's income is 32% more than Bethan's income.
Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.

Answers

Answer:

Based on the given conditions, formulate:  

Reduce the fraction:

get the result:

Answer:

Step-by-step explanation:

The Amrit's income is £27434.16.

It is required to find the

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let the Bethan's income be x

Amrit's income is 32% more than Bethan's income.

So, Amrit's income=x+32%

Amrit and Bethan's combined income is £54868.

According to given question we have

x+x+32%=£54868

2x+32/100=£54868

2x=54868-0.32

2x=54867.68

x=27433.84

Bethan's income=£ 27433.84

Amrit's income

=x+32%

=£ 27433.84+0.32

=£27434.16

Therefore, the Amrit's income is £27434.16.

Learn more details about arithmetic here:

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ab+4a-3b-12 = (b+4)(_____)

Answers

ab+4a-3b-12 = (b+4)(a-3)

For the sequence −9, −3, 3, 9, 15, ... write the recursive formula. a(1) = __, a(n) = a(n-1) + d *

Answers

Answer:

the answer to the question is online if you

what are complementry angles

Answers

Answer:

either of two angles whose sum is 90°

Hello there! :)

Complementary angles are angles that add up to 90 degrees.

Example:

34 and 56 are complementary angles.

Hope this helps!

~Just a gloomy teen

#CarryOnLearning

[tex]SilentNature \\:([/tex]

Nate earns extra money on the weekends mowing lawns. He charges $14.00$ to work for the first hour. He charges $10.50 for each additional hour. Let hh equal the number of hours after the first hour. Which expression represents how much Nate charges?

Answers

Answer:

m=14+10.50h

Step-by-step explanation:

h represents hours. m represents how much he makes

he's going to get 14 dollars, plus 10.50 times however many hours he works.

What is the value of -4 x ( 4 - 6 ) ?

Answers

Answer: 8

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

M=4 if not 1/4

Step-by-step explanation:

hope this helps sorry if it was incorrect have a great rest of the day :)❤

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One​ day, the equipment elevator begins to descend. After ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that​ time, which elevator is​ deeper?

The position of the equipment elevator relative to the surface is (blank) feet

Answers

Answer:

272

Step-by-step explanation: I had i

Draw a triangle in which an angle, X, is equal to cos^{-1} (4/5)

Answers

Answer:

Work on a grid, like a piece of paper with squares already drown in it, else you need to be really accurate with 90 degrees angles. Draw an horizontal line, count 5 units (cm, inches, squares, whatever you have and draw a piece of a circle (red in my image) that intersect the 4 unit line (green). Join the point you found with the center of the circle to get the angle you want (blue line, the angle is the one marked. Joining ANY point in the first line with any point in the second line will give you the triangle you want. The orange lines are a few possibilities you have.

Is it a bad drawing? Yes. I used paint with a grid made with a spreadsheet, don't expect a masterpiece.

Which properly illustrated in the statement (-2)(+5) = (+5)(-2)?

Answers

Answer: 7

Step-by-step explanation:

it is trust me.

I don’t know what to call it but I need help

Answers

Answer: this is a math test, i presume

on schoology

it’s the third option 63 over 3/8

What is the answer to this question?

Answers

D is the answer because she only gains money . The others lose something. The toal for D is $40 not $0 like the other ones

There is 358 pieces of pumpkin pie by the time dessert comes around there are only 7 guest left how many pieces can each person get if it is shared equally how many will be left over

Answers

51 slices is the answer

I NEED ANSWER ASP PLEASE

Answers

Answer:

n=72x9

Step-by-step explanation:

Because Marley is 9x as much, so that's 72x9.

The answer is D. 72/9 = 8

If line L is parallel to line M, solve for x and y​

Answers

Answer:

x = 18, y = 5

Step-by-step explanation:

Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal.  Thus, 7x - 23 = 49 + 3x, or -72 = 2x.  Thus,

                                  4x = 72 and x = 18.

Check:  Is 7x - 23  =  49 + 3x true when x = 18?

                 7(18) - 23 =  49 + 3(18)?

                       103    =     103?  yes

Also:  If we concentrate on the triangle in the middle of the picture:

49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)

Then:  49 + 180 + 23 - 7x + 11y - 1 = 180.  But x = 18, so we have:

125 + 11y = 180, or 11y = 55, and so y = 5

Find an equation in standard form of the parabola passing through the points.

(2, −8), (3, −8), (6, 4)

Answers

192
Next time try to add more points bc i worked so hard to answer this


Audrey and her sister found 9 dimes and 8 pennies. If they share the money equally, how much
money will each sister get?




Answers

Answer:

49 cents that is the answer

there are 24 apples how many Sims can even wish are these apples​

Answers

Answer:

6applies

Step-by-step explanation:

because 24 apples+6=30 right right right

What is the slope of the line in this graph?

A. 5/9
B. 5/7
C. 7/5
D. 9/7

Answers

Answer:

B) 5/7

Step-by-step explanation:

...............

Answer:

b) 5/7

Step-by-step explanation:

rise/run

0(-7) helppppppppppppppppppppp

Answers

Answer:

0

Step-by-step explanation:

anything multuplied by 0 is 0

4.) You paid $51 for four tickets to a play. What is the unit price?
O $12.75
$12.50
O $13.00
$12.00

Answers

Answer:

$12.75

Step-by-step explanation:

To find the unit price of something divide the cost by the amount of the Item

Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours​

Answers

Answer:

B.) 30 miles in 5 hours

Step-by-step explanation:

If you were to simplify all the ratios:

A) 12:3 divided by 3/3 is 4:1

B) 30:5 divided by 5/5 is 6:1

C) 35:5 divided by 5/5 is 7:1

D) 45:9 divided by 9/9 is 5:1

B is 6:1.

What is the value of x in the equation ?

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

This is our equation

[tex]2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)[/tex]

First off we can distribute the 2.5 and the 4

Now our equation is [tex]15x-10=10+6+2x[/tex]

subtract [tex]2x[/tex] from both sides

[tex]13x-10=16[/tex]

add [tex]10[/tex] to both sides

[tex]13x=26[/tex]

Divide both sides by [tex]13[/tex]

[tex]x=2[/tex]

Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.

This is a system of equations

Answers

Answer:

hamburgers - $4.30 hotdogs- $3.50

The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,

5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5

Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.

Learn more about simultaneous equations here:

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I need help i have no clue what to do!

Answers

Answer:

-2x-6y= -14 (i)

-6x-2y= -26 (ii)

Multiply eq (i) by 3

-6x-18y= -42 (iii)

-6x-2y= -26 (ii)

Subtract eq (iii) from ii

-6x -18y = -42

+6x+2y = +26

_______________

0 - 16y = -16

●y= 1

Put y =1 in eq 1

-2x -6 (1) = -14

-2x = -14 + 6

-2x = -8

●x =4

x=4 y=1

BRAINLIST PLS

It is currently 0°C outside. The temperature is dropping 2.5°C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below −20°C.

Answers

Answer:

-2.5x < -20

Step-by-step explanation:

x represents the number of hours that must pass for the temperature to drop below −20°C.

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