Mathematics High School

What is the volume of the triangular prism
Hight 10in
Base 14 in
Length 6

What Is The Volume Of The Triangular Prism Hight 10in Base 14 In Length 6

Answers

Answer 1

Answer:

[tex]V=336\ in^3[/tex]

Step-by-step explanation:

Triangular Prism

Given a triangular prism of base area A and height H, its volume is obtained with the formula:

V = AH

The area of the base is calculated as follows:

[tex]A = \frac{WL}{2}[/tex]

Where W is the width and L is the length. Both dimensions must be perpendicular.

The triangle of the base has a hypotenuse equal to 10 in and the width is 6 in, the length is calculated by:

[tex]L=\sqrt{10^2-6^2}[/tex]

[tex]L=\sqrt{100-36}=\sqrt{64}[/tex]

L = 8 in

The area is:

[tex]A = \frac{6*8}{2}[/tex]

[tex]A = 24\ in^2[/tex]

Finally, the volume is:

[tex]V = 24\ in^2*14\ in[/tex]

[tex]\boxed{V=336\ in^3}[/tex]

Related Questions

Which side is longer?​

Answers

Answer:

RQ

Step-by-step explanation:

I think since it's going up. and the angle it is makes it look a little bigger.

HELP ME PLZ I NEDD 100 ON ThIS SO GET ME RIGHT I WELL GIVE BAIRELEST

Answers

Answer:

100

Step-by-step explanation:

So he expected 20 guest but 5 TIMES as many showed up

20*5=100

Use the least common denominator to write an equivalent fraction for each fractoin a .5/6 2/9 b. 1/12 3/8 c. 5/9 2/15

Answers

D ksksnddiiwjejwkwakds


30 = -5 = ___
Divide you answer

Answers

the answer is negative 6

Answer:

6 possibly

Step-by-step explanation:

you said to divide so

30/5=6

27 is 3 as many times aswhat number

Answers

27 is 3 as many times the number 9

Answer:

9

Step-by-step explanation:

27 divided by 3 is 9

NEED ASAP!!!!

Determine if the three lengths given will be able to construct a triangle or not: 5, 12, 2.
A) Yes, they can form a triangle.
B) No, they cannot form a triangle.

Answers

Answer:

B

Step-by-step explanation:

Using the Triangle Inequality Theorem, two sides of the triangle should always add up to be greater than the third side or it is not a triangle.

5 + 2 = 7 This sum is less than the third side, 12. Therefore, this cannot make a triangle.

Solve for n.
6(n-3)- 2n=10

Answers

Expand: 6n-18-2n=10
Collect the like terms :6n-2n=4n
4n-18=10
Add 18 onto 10
4n=28
Divide by 4
Answer is n=7

Is the following a geometric sequence? 1,2,3,4,5....

Answers

Nope, this isn’t a geometric sequence. A geometric sequence is a sequence in which each previous number is multiplied by a fixed number each time.

Answer:

no

Step-by-step explanation:

No this is increasing by 1 each time and therefore it's an arithmatic sequence

What is the area of the castle Ella built from wooden blocks?

Answers

Answer:

A = 115200

Step-by-step explanation:

I think this is correct.

I am not sure though

find the lcm among these numbers 15,18,24,36,​

Answers

Answer:

360

Step-by-step explanation:

Answer: Here the numbers mentioned are 15, 18, 24 and 36. Let us factorise each of them. In order to obtain the LCM of the above mentioned numbers, we multiply all the prime factors in their highest power of all the numbers. Hence, the LCM here is 3^2*2^3*5 = 360.

A youth group is making and selling sandwiches to raise money. The cost to make each sandwich is h dollars. The group sells 150 sandwiches for a total of (150h+450) dollars. How much profit does the group earn for each sandwich sold?

Answers

Answer:

Profit earn by group for each sandwich sold=$ 3

Step-by-step explanation:

We are given that

Cost to make each sandwich= h dollar

Total selling price of 150 sandwiches=(150h+450 )dollars

We have to find the profit earn by group on each sandwich sold.

Total cost for making 150 sandwiches=[tex]150\times h[/tex]

Total cost for making 150 sandwiches=150 h

Now,

Profit made by group on 150 sandwiches

=150h+450-150h

=450 dollars

Profit earn by group for each sandwich sold=[tex]\frac{450}{150}[/tex]

Profit earn by group for each sandwich sold=$ 3

During another part of its flight the balloon in Exercise 10 had a change in elevation of -901 feet in 34 minutes. What was its rate of decent

Answers

Answer: 26.5 ft per minute

Step-by-step explanation:

The hot air balloon descended 901 feet in 34 minutes.

The rate at which it was descending can be calculated by the speed formula which is:

= Distance descended / time

= 901 / 34

= 26.5 ft per minute

Which method can you use to prove that the triangles are congruent

Answers

Answer:

ΔASA ≅ ΔASA

Step-by-step explanation:

3) Shelley deposits $605 into an account that earns 5% compound
interest each year. Calculate the interest she earns after 3 years.

Answers

AWNSER: $90.75

Shelly earns $90.75 in compound interest after 3 years. All together she has $695.75.

After how many months will workout 24 and your gym cost the same anount

Answers

Answer:

270 ?..................

Answer:

30 months

Step-by-step explanation:

200+55m=50+60m

60m-60m = 0

55m-60m = -5m

200-5m=50

200-200=0

50-200= -150

-150/-5 = -5m

-5m/5 = 0

-150/-5 = 30

2. Solve for x. x= 3. Solve for x X- 2 10 20 4. Solve for x X = 14 = 44 8.​

Answers

Answer:

what? clarify

Step-by-step explanation:

Mill Road Elementary school has 525 students but expects that to decrease by 4% next year. How many students do they expect to have next year?

Answers

Answer:

They expect to have 504 students next year.

Step-by-step explanation:

In order to find the answer, you have to calculate the 4% of the number of students the school has and subtract that amount from the number of students to get the amount of students they expect to have next year as they expect that to decrease:

525*4%=21

525-21=504

According to this, the answer is that they expect to have 504 students next year.

PLEASE HELP ASAP I'M TIMED



a ball is dropped from a height of 5 feet and bounces to 60% of its previous height on each subsequent bounce. Which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?

4
A. One should use ∑(0.6)^n(5) which results in 10.88ft for the vertical distance traveled
n=0



3

B. One should use 5+∑2(0.6)^n(5) which results in 16.76ft for the vertical distance

n=0



4

C. One should use 5+∑2(0.6)^n(5) which results in 18.06ft for vertical distance traveled

n=0



4

D. One should use ∑2(0.6)^n(5) which results in 21.76ft for vertical distance traveled

n=0

Answers

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did the work for ya. Ngl, this stuff is hard. Good luck.

If there are 104 ounces in 2 quarts, how many quarts are there in 260 ounces?

Answers

Answer:

5

Step-by-step explanation:

104 oz = 2 q

divide by 2

52 oz= 1 q

now take 260 oz / 52 oz

5 quarts

Unit conversion is a way of converting some common units into another without changing their real value. There are 5 quarts in 260 ounces.

What is unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Given that there are 104 ounces in 2 quarts. Therefore, the number of ounces in a quart can be written as,

Number of ounces in quart = 104 ounces / 2 quarts

                                             = 52 ounces per quart

Now, the number of quarts that are in 260 ounces is,

Number of quarts = 260 ounces / 52 ounces per quart

Number of quarts = 5 quarts

Hence, there are 5 quarts in 260 ounces.

Learn more about Units conversion:

https://brainly.com/question/4736731

#SPJ5

1. Bessie is making an apple pie. The top of the pie pan is shown
below. Approximately how much pie crust will Bessie need to cover
the top of the pie? Use 3.14 for it.
9.5 in.
A. 25
B. 30
C. 50

Answers

Answer:

THE ANSWER IS 71

Step-by-step explanation:

This recipe makes 16 portions of potato soup.
Richard follows the recipe but wants to make 4 portions.
Complete the amounts of each ingredient that he needs.
Recipe: Serves 16
96 ml oil
240 g onions
1.44 kg potatoes
1.61 milk

Answers

Answers:

24 mL of oil60 g onions0.36 kg potatoes0.4025 cup of milk

The units for the milk weren't stated, but I'm assuming it's probably "cups".

=========================================================

Explanation:

The recipe makes 16 portions or servings of soup. Richard only wants 4 servings. This means he needs to divide each ingredient amount by 4. Note how 16/4 = 4.

So,

96/4 = 24 mL of oil is needed240/4 = 60 grams of onions are needed1.44/4 = 0.36 kilograms of potatoes are needed1.61/4 = 0.4025 cups of milk are needed

Change "cups" to whatever other measurement unit is provided.

x/2 - 5 = -3 hurry pls

Answers

Answer:

x = 4

Step-by-step explanation:

I answered as i understood the question

Answer:

x=4

Step-by-step explanation:

x=2(-3+5)

x=2(2)

x=4

Find the values for a and b that would make the equality true.
–3(2x2 + ax +b) = -6x2 + 12x – 15
a =
b=

Answers

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side, then compare the coefficients of like terms.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b, compare to - 6x² + 12x - 15

Compare coefficients of x- terms

- 3a = 12 ( divide both sides by - 3 )

a = - 4

Compare constant terms

- 3b = - 15 ( divide both sides by - 3 )

b = 5

HELLLLLPPPPPP what is 123 x 85?????

Answers

It’s 10455 well that’s what I got

Answer:

10,445.

Step-by-step explanation:

Hope this helps!

(sorry if it's wrong)

You are out to dinner at Olive Garden with two friends. The total price of your three
meals was $67.50. You tipped the waitress $12.06. What was the percent that you
used to calculate the tip?

A. 20.5%

B. 36%
C. 6.8%

D. 18%

Answers

Answer:

i believe it is D. 18%

Step-by-step explanation: i lovee olive garden

Answer:

The answer is A or 20.5%

Step-by-step explanation:

i hope you do amazing on your test!

✧brainliest appreciated✧

1/2 of the people who live in the neighborhood vollunteer at the comunity garden. 1/4 of the vollunteers are teenagers. What fraction of the vollunteers are teenagers

Answers

Answer:

3/4

Step-by-step explanation:

With regards to the above, since 1/4 of the volunteers are teenagers, the fraction of the volunteers would be

= 1 - 1/4

= 3/4

It therefore means that 3/4 of the volunteers are teenagers.

A baseball player got 102 hits in the last 300 times at bat. Explain how you would find the percent of times at bat.​

Answers

Answer:

34%

Step-by-step explanation:

Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.

Answer:

34%

Step-by-step explanation:

You would cross mulitply to find the answer.

[tex]\frac{102}{300}[/tex]  x  [tex]\frac{x}{100}[/tex]

multiplying that out would equal

300x = 10200

then find x by dividing 10200 by 300

you get x=34 and 34 out of 100 is 34%

Pls help me with this. Show your work and solve that is it.

Answers

Answer:

[tex]5\sqrt{18}-\sqrt{32} \\=5 \sqrt{3 \times 3 \times 2} - \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 5 \times 3 \times \sqrt{2} - 2 \times 2 \times \sqrt{2} \\ = 15 \sqrt{2} - 4 \sqrt{2} \\ = \boxed{11 \sqrt{2} }[/tex]

11√2 is the right answer.

help me I need too pick up my grade .

Answers

Answer:

65

Step-by-step explanation:

Thats The Correct answer I dont really know how to explain

There are 340 people in a park. 2/5 of the children is equal to 4/7 of the adults. How many adults and how many children are in the park?

Answers

Answer:

136

Step-by-step explanation:

4/7 * 340

136

That is the answer for the equation

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