A triangular prism is 17 yards long and has a triangular face with a base of 12 yards and a height of 8 yards. The other two sides of the triangle are each 10 yards. What is the surface area of the triangular prism?

Answers

Answer 1

Answer:

640 yard²

Step-by-step explanation:

From the question,

The surface are of a triangular prism is given as

A = bh+2ls+lb.................. Equation 1

Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s =  length of one of the other sides of the triangle

Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.

Substitute these values into equation 1

A = [(12×8)+(2×17×10)+(17×12)]

A = 96+340+204

A = 640 Yard²


Related Questions

Which choice shows the corresponding sides as equal ratios?

Answers

The first one

Because you are dividing the second triangle by the first one

Option A,  DE/AB=EF/BC=DF/AC shows the  corresponding sides as equal ratios

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From the given triangles

In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.

In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.

As the two triangles are similar.

DE/AB=6/3=2

EF/BC=8/4=2

DF/AC=10/5=2

So DE/AB=EF/BC=DF/AC=2

Hence, Option A DE/AB=EF/BC=DF/AC shows the  corresponding sides as equal ratios

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Laura borrowed $48,000 at a 6% interest rate for 6 years. what was the total interest?

Answers

Answer:

$17,280

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 48000

r = 0.06

t = 6

Work:

I = (48000)(0.06)(6)

I = 17280

Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle.

11, 13, 25

A) Not a triangle
B) right
C) acute
D) obtuse

Answers

Answer:

the triangle is an acute triangle

Write an equation of the line that passes through (-6,0) and (0,-24)

Answers

-24/-6= 4 y-0=4(x+6) y=4x+6

HELP PLZ

1. A new bicycle sells for $300. It is on sale for off the regular price. Select all the
expressions that represent the sale price of the bicycle in dollars.
A. 300 •1/4
B. 300 • 3/4
C. 300 - (1 - 1/4)
D. 300 – 1/4
E. 300 – 1/4•300

Answers

The answer is a.............

Answer:

Step-by-step explanation:

All of them beside D and A

Please I need this today!! Thank you!!

Answers

Answer:

I suck I wish I can help to



WILL GIVE BRAINLIEST

Answers

Answer:

10

Step-by-step explanation:

5+ x= 3x - 21+6

5+21-6= 3x-x

20=2x

x=20/2

x=10

I need help for this problem ​

Answers

Answer:

(-8,-2) try it

Step-by-step explanation:

(-8,-2)

I don't know if this helps but that's what I got, sorry.

A boat can travel 10 miles downstream in the same time it
can travel 3 miles upstream. The speed of the river
current is 2 miles per hour. Which equation could you use
to find the speed of the boat in still water?

Answers

Answer:

[tex]\frac{10}{x+2} = \frac{3}{x-2}[/tex]

Step-by-step explanation:

The 10 represents the speed traveling downsteam while the 3 represents speed upstream. Downstream you have the help of the current, so it would be x + 2, upstream you are working against the current so it would be x - 2.

CAN SOMEONE PLEASE HELP ME WITH THIS :<

Answers

Answer:

A

Step-by-step explanation:

This will be the last easy question I'll make. tomorrow I'll make two more easy questions.
Whoever answers, I'll give brainliest:) (i won't always choose the first person, it's random btw)

what is 100x 30?
remember to spread kindness <3

Answers

Answer: 3000

100 x 30 = 3000

Answer:

3000 is the answer

Step-by-step explanation:

Here ya go :)

2x+7 + 3x+1 +x what’s the answer

Answers

Answer:6 + 8

Step-by-step explanation:

Add the numbers

Combine like terms

Answer:

the answer is: 6x+8

Step-by-step explanation:

also can I have brainliest please? :)

A rainbow is an arc of colors that is visible in the sky, caused by the refraction and dispersion of light after rain or other water droplets in the atmosphere .The colours of the rainbow are generally said to be red

Answers

Answer:

Red, orange, yellow, green, cyan, blue and purple.

Step-by-step explanation:

The rainbow is a colorful visual and meteorological phenomenon, in which the range of colors that compose the visible light in the sky appears. The phenomenon occurs when the sun's rays fall on raindrops in the Earth's atmosphere and is an example of refraction, after reflection. Each color is refracted at a different angle inside the droplets (which act like small prisms), it undergoes a different deflection and so the visible white light is analyzed in the different colors that compose it.

in the figire shown, t || x and k || w and m<3=20°. Choose the list which includes all of the other angles that measures 20°​

Answers

Answer: (d)

Step-by-step explanation:

Given

[tex]\angle 3=20^{\circ}[/tex]

from the figure, we can write

[tex]\angle 1=\angle 3\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 3=\angle 7\quad [\text{corresponding angles}]\\\angle 5=\angle 7\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 1=\angle 16\quad [\text{corresponding angles}][/tex]

Also,

[tex]\angle 16=\angle 14\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 14=\angle 9\quad [\text{corresponding angles}][/tex]

[tex]\angle 9=\angle 11\quad [\text{vertically opposite angles}][/tex]

x + 17 = 23
Need help

Answers

Answer:

lol it's x =6

Step-by-step explanation:

hope this helps

Answer:

x = 6

Step-by-step explanation:

x+17=23

17-17 = 23 - 17        17 cancels

x = 6


PLEASE HELP IM A FAILURE

Answers

Answer:

B

Step-by-step explanation:

B ask me 4 help i got your back..dont want you to fail.

Bro it is letter B and it’s is the right answer

HELP PLEASE DUE TODAY

Answers

second one 1/2 I had this assignment

which of the following expressions represent the number of distinguishable permutations of the letters of the word conclusion​

Answers

Answer:

See explanation

Step-by-step explanation:

In most cases, we run into the problem of arranging objects that are repeated. This often occurs when we have a word that has repeated letters.

Let us recall that permutation deals with arrangements which are distinguishable.

Hence, for the word CONCLUSION, the number of distinguishable arrangements are;

10!/2!2!2!

A lawnmower is on sale for 45% of its original price of $355 what is the sale price

Answers

Answer:

$195.25

Step-by-step explanation:

Original price = $355Sale = 45%

Sale price:

$355*(100 - 45)/100 = $195.25

your sale price should be, $195.25

the origonal price is, $355

sale happens = 45%

Sale price:

$355 times [tex]\frac{(100-45)}{100}[/tex] = $195.25

Hope this helps!

The radius of the circle is 3 inches what is the area

Answers

Answer:

28.27in

Step-by-step explanation:

I suck at math so thanks for helping

Answers

Answer:

7.5

Step-by-step explanation:

The square has 4 equal sides, so you take the p,(30) and divide it. 30/4 = 7.5

To check your answer add 7.5 four times since the square has 4 equal sides.

7.5 + 7.5 = 15

15 + 7.5 = 22.5

22.5 + 7.5 = 30

is there another word for synonym?????

Answers

Answer:

exactly, or nearly the same

Step-by-step explanation:

The word synonym means the same word of...

The word antonym means the opposite word of...

Hope that helps

I need to factor this ​

Answers

Answer:

10(y+28)

Step-by-step explanation:

im factoring  : 44+10y+24

to get this : 10y+280

final answer :=10(y+28)

______________________

Hope this helps!

*sorry im a little late on the answer :D

What is the measure of ∠AZB in the figure?

Answers

Answer:

m∠AZB = 129°

Step-by-step explanation:

From the figure attached,

m∠AZB = m∠AZC + m∠CZB

It's given that measure of angle AZC = 90°

And measure of ∠CZB = 39°

Therefore, m∠AZB = 90° + 39°

                                = 129°

1. Expand to write an equivalent expression: −14(8x+12y)

2. Factor to write an equivalent expression: 36a−6
Pls answer (No links)

Answers

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

--------------

36a-6

6(6a-1)

Recipe calls for 2 tablespoons of orange juice a can of orange juice 21 fluid ounces how many tablespoons are there in the can

Answers

Answer:

42 tablespoons

Step-by-step explanation:

a tablespoon is 1/2 a fluid ounce.

so, 21x2= 42

What is the common ratio for this geometric sequence!
27, 9, 3, 1, ...

Answers

Answer:

1/3

Step-by-step explanation:

The ratio is 1/3 because it's just like dividing 27/3 = 9  and so on.

Point D is in the interior of ∠ABC. What is m∠DBC?

Answers

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

The measure of angle ∠DBC is,

⇒ ∠DBC = 35.5°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Point D is in the interior of ∠ABC.

And, ∠ABD = (3x + 22)°

⇒ ∠DBC = (x - 4)°

Clearly, Both angle make a linear pair.

Hence, We get;

⇒ ∠ ABD + ∠DBC = 180°

⇒ (3x + 22) + (x - 4) = 180°

⇒ 3x + 22 + x - 4 = 180

⇒ 4x + 18 = 180

⇒ 4x = 180 - 18

⇒ 4x = 162

⇒ x = 162/4

⇒ x = 40.5

Hence, The measure of angle ∠DBC is,

⇒ ∠DBC = (x - 4)°

⇒ ∠DBC = (40.5 - 4)°

⇒ ∠DBC = 35.5°

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EXTRA POINTS IF U CAN ANSWER THE QUESTION CORRECTLY (no links)

Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?

Pls hurry !

Answers

Answer:

4.5

Step-by-step explanation:

no explanation necessary

How do I do this????

Answers

Answer:

5.41

Step-by-step explanation:

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