A triangular prism is 19 yards long and has a triangular face with a base of 18 yards and a height of 12 yards. The other two sides of the triangle are each 15 yards. What is the surface area of the triangular prism?

Answers

Answer 1

Answer:

1128 Yard²

Step-by-step explanation:

From the question,

The surface area of a triangular prism is

A = bh+H(a+b+c)...................... Equation 1

Where a = First side of the triangular face, b = base of the triangular face, c = the other side of the triangular face, H = heigth of the prism, h = height of the triangular face

Given: a = 15 yard, b = 18 yards, c = 15 yards, h = 12 yards, H = 19 yards.

Substitute these values into equation 1

A = (18×12)+ 19(15+15+18)

A = 216+19(48)

A = 216+912

A = 1128 Yard²

Hence the surface area of the triangular prism is 1128 yard²


Related Questions

⚠️THIS IS DUE TODAY⚠️ USE DISTRIBUTIVE PROPERTY

Answers

Answer:

4x + 8

-45 - 5x

7x - 21

Step-by-step explanation:

For the first one

4(x + 2)

for distributive property you multiply the number or symbol next to the outside of the parenthesis, by everything inside the parenthesis.

4(x+2)

4*x = 4x

4*2 = 8

So, this is 4x + 8

-5(9+x)

-5*9= -45

-5*x=-5x

So, this is -45 - 5x

7(x-3)

7*x= 7x

7*-3= -21

This will be 7x - 21

Hope this helps!!

-Ketifa

Trigonometry math, help needed!!!

Find Q, R, and S. I think R is 123. I have provided a picture. Please put the right answer I would appreciate it.

Answers

Answer:

Step-by-step explanation:

Danny charges $30 for 2 hours of swimming lessons, Martin charges $72 for 4 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny it 60 4 2 hours u save $12

Danny, because Danny charges 15 per hr and Marin charges 18 per hr

PLEASE HELP DUE IN 30 MINUTES ILL GIVE You BRAINLY

Answers

Answer:

C

Step-by-step explanation:

Your answer is C this is just observation so no need for explanation

Please help me out. I will be picking the brainiest Answer!!!

Answers

Answer: I think the answer is 63.

Step-by-step explanation:

Im sorry if im wrong.

The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc

Answers

Answer:

47.14 m²

Step-by-step explanation:

Recall that the central angle of a full circle is 2π radians or 360°.  The area of the sector bounded by a 150° arc is the fraction

150°

------- times the area of the full circle (πr²):

360°

(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²

0f the 64 students in grade five, 3/8 of them either walk or ride a bike to school. The rest take a bus. How many fifth graders take a bus to school? *

Answers

40 fifth graders take a bus to school. 8x8= 64 so they have you a good fraction to start with to find out how many kids are walking or taking their bike (3/8) all you have to do is multiply 3 and 8 which equals 24 to find the fraction of the amount of kids who take the bus you subtract 3 from 8 which gives 5/8 and to get the answer you multiply 5 and 8 which is 40.

whats the mode of $6.00 $6.00 $6.00 $6.00 $5.00 $7.00 $4.00 $7.00​

Answers

Answer:

4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00

Step-by-step explanation:

Mean  5.875

Median  6

Mode 6.00

Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.

Answers

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

Calculate the missing measure in the triangle 35º and 85º

Answers

Answer:

60º

Step-by-step explanation:

180º-35º-85º=60º

if PQ and PR are tangent to circle S,find PQ

Answers

Answer:

From one point, you can draw two tangents to a circle. These two tangents will be equal.

Step-by-step explanation:

7x - 24 = 57 - 2x.

Rearrange the numbers (by adding 2x and 24 on both sides), we get:

7x+2x = 57 + 24

9x = 81.

x = 9.

Length of PQ = 57-2x = 57 - 18 = 39

If PQ and PR are tangent to circle S, then the value of PQ is 39.

What is tangent?

"A line that touches the circle at a single point is known as a tangent to a circle."

What is circle?

"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."

P is the exterior point of a circle.

PQ and PR are the tangents to circle S.

According to theorem,

The lengths of the tangents drawn from a same external point to a circle are always equal.

7x - 24 = 57 - 2x

7x + 2x = 57 + 24

9x = 81

x = 9

PQ = 7x - 24

PQ = 7(9) - 24

PQ = 63 - 24

PQ = 39

Hence, the value of PQ is 39.

To learn more about tangent of a circle here

https://brainly.com/question/23265136

#SPJ2

A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels

Answers

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

Will mark brainlest to whoever finds the answer for the square units

Answers

Answer:

32 units squared

Step-by-step explanation:

8(4) = 32

How many 1/5 cup servings are in 5 cups of cereal?

I need the answer ASAP!

I'll give brainliest!

Answers

Answer:

there are 25 1/5 cups

Step-by-step explanation:

25/5=5

hope this helps

Answer:

25 servings

Step-by-step explanation:

to fill one cup, 5 servings would have to be, um... served.

for 5 cups, it would have to be 5 cups in each of the 5 cups, so 5 * 5, which makes 25 servings

(p.s., pls mark me brainliest, and have a great day!)

Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 3 inches. How much paper will she​ use?

Answers

Answer: [tex]282\ in.^2[/tex]

Step-by-step explanation:

Given

dimension of box are

[tex]h=22\ in.\\[/tex]

Square base length is [tex]l=3\ in.[/tex]

[tex]\therefore w=3\ in.[/tex]

The surface area of a rectangular prism is

[tex]S.A.=2[lb+bh+hl][/tex]

The paper area must be equal to the surface area of the prism

[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]

A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?

Answers

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

Find the SURFACE AREA of the rectangular prism. LABEL your answer.
5 cm
6 cm
6 cm
What formula will you use to find the area of each side? A=
How many sides does the prism have?
What is the TOTAL surface area? (label your answer)

Answers

Answer:

surface area of prism= 2(lb+bh+lb)

surface area of prism= 2(6×6+6×5+5×6)

surface area of prism= 168cm²

formula=2(lb+bh+hl)

sides=12 sides

total surface area =168cm²

volume of prism=l×b×h

volume of prism=6×6×5

volume of prism=180cm³

I NEED HELP ASAP PLS DONT GIVE RANDOM ANSWERS OR LINK I WILL GIVE YOU BRAINLIEST......... thanks :)

Answers

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )

14 - 2(11 - 5) + [tex]7^{2}[/tex]=

Answers

Answer:

51

Step-by-step explanation:

Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

morning  =  -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

Tell whether each pair of angle measurements are complementary, supplementary or neither.  36°,24°  18°,72°  96°,84°

Answers

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

[tex]36^\circ+24^\circ =60^\circ[/tex]

So, this pair is neither complementary not supplementary.

For 18° and 72°,

[tex]18^\circ+72^\circ =90^\circ[/tex]

So, this pair is complementary.

For 96° and 84°,

[tex]96^\circ+84^\circ =180^\circ[/tex]

So, this pair is supplementary.

SOMEONE PLS HELP giving brainlest for right answer and extra points

Answers

Answer:

500,000 people

Step-by-step explanation:

2 x 10^5 x 2.5

= 2 x 100,000 x 2.5

= 200,000 x 2.5

= 500,000

Answer:

500000

Step-by-step explanation:

2×10^5=2×100000=200000×2.5=500000

6x-18=51 solve for x​

Answers

move -18 to the other side
6x=51+18
6x=69
divide both sides by 6
6x divide by 6 and 69 divide by 6
x=11.5

Answer:

11.5

Step-by-step explanation:

add 18 to both sides

divide by 6

What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?

Answers

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

How tall is the statue? PICTURE INCLUDED*

Answers

Your answer should be 12 feet, we do 4 * 15 which is 60, then divide by 5 which means 12 is your answer, or A.

I NEED THIS ASAP
For what value of q is the equation - 13(9 + 4) = 79 + 16 true?

Answers

Where is q????? Need more info!

Answer:

False

Step-by-step explanation:

ok so

9 + 4 = 13

-13 * 13 = -169

79 + 16 = 95

-165 does not equal 95

Hope this helps!!

Please I need help
I need the equation of the graph below

Answers

Answer:

0x 57=63

Step-by-step explanation:

Divide. Give the quotient and remainder.
20,226/4

Answers

Answer:

5,056.5 is the answer of 20226 /4

A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T

Answers

Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet

11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35

Answers

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

or

7 x = negative 35

Hence, the correct option is (c).

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