The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm

Answers

Answer 1

Answer:

[tex]Height = 2.5[/tex]

Step-by-step explanation:

Given

[tex]Volume = 35[/tex]

[tex]Length =7[/tex]

[tex]Base=4 cm[/tex]

Required

Determine the height

The volume is calculated as:

[tex]Volume = Height * Base\ Area[/tex]

Since, it has a triangular cross-section, the expression becomes:

[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]

So, we have:

[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]

[tex]35 = Height * 14[/tex]

[tex]Height = 35/14[/tex]

[tex]Height = 2.5[/tex]


Related Questions

D
A
F
B
C
Which segment is perpendicular to DE?

Answers

Answer:

EF

Because if line EF continued on, it would go across line DE.

Answer:

AD is the answer i would go with but it could be CF or BE

Step-by-step explanation:

Mason wants to host a housewarming party. The following equation represents how the cost of party depends on the number of attendees.

The equation is d= 16a
​The variable \mathrm{a}a represents the number of attendees, and the variable d represents the cost in dollars.

Find the number of attendees who could be invited if Mason budgets a total of $80 for his party.

Answers

The answer I got was a=5. Hope this is correct and hope it helped

Answer this page: BIG REWARD GRANTED

Answers

Whats the big reward

Answer:

I don't even get what you want us to do

Step-by-step explanation:

Seven times the difference of a number and 7

Answers

Answer:

7 (x-7) or 7x-49

7x-49 would be the answer

Cell G: 4.21×10^-3 cm
Cell H: 9.2×10-4 cm

How many times larger is the diameter of cell G than the diameter cell H? Write your answer in standard notation, rounding to the nearest tenth. ​

Answers

Answer:

0.00421 centimeters.

Step-by-step explanation:

thats ur answer

Answer:

I believe that your answer would be 2.18527315×10^-1

Simplified would be 2.2×10^-1

Step-by-step explanation:

I hope this helps

what is the sum of 2/5 and 2/5 in simplest form

Answers

Answer:

The answer is 2/5

Step-by-step explanation:

2/5+2/5=4/5=2/5

C = ?
when d = 25 m.
(C = circumference)
(d = diameter)

Answers

Answer:

12.5m

Step-by-step explanation:

I don't wanna type it lmco (laughing my cheeks off)

5x + 4 = 3x + 10 how would you solve for the value of x? How would you prove your solution is correct? How would you prove another value is incorrect? Explain in as much detail as possible.

Answers

5x+3=3x+10 the first thing we're going to do it to subtract 3 from both sides which would look like this

5x+3-3x=10 (the minus because it changed place)

from 5x and 3x we get 2x so the next step is 2x=10-3 which is 7

so now we have

2x=7

x=7/2

Answer:

x=3

Step-by-step explanation:

5x+4 = 3x+10

2x = 6

therefore, x = 3

Verification:

5 * 3 + 4 = 3 * 3 + 10

15+4 = 9+10

19=19

Therefore, LHS= RHS

Hence Proved!

7. Simplify
(12p27
(2p2q6)​

Answers

Answer: 7776p^2q

Step-by-step explanation:

     

American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustration, management has a constant repair problem. The machines break down in a mean of 3 hours with a standard deviation of 3 hours. One repair worker can service one machine in a mean of 2 hours with a standard deviation of 2 hours. Currently, TWO repair workers are hired. Average flow time (W) was calculated as 2.305 from the posted queueing template. --- Average down machines in the entire system (L) are ___.

Answers

Answer:

0.77

Step-by-step explanation:

From the information given:

The breakdown time (a)= 3 hours

The breakdown rate (λ) = 1/a = 1/3

Average flow time in the system (W) = 2.305 hours

For the entire system;

The average down machines L = Wλ

= 2.305 × (1/3)

= 0.77

find an equation for the nth term of the sequence -4,-16,-64,-256

Answers

Answer:

this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144

Helpppppppppppppppp

Answers

Answer:

∠QRT = 42°

Step-by-step explanation:

arc QT + 2(∠QPT = 2(42°) = 84°

arc QT = arc TQ

arc TQ = 2(∠QRT)

84° = 2(∠QRT)

∠QRT = 42°

A new store is handing out small gifts to the customers who come in. Elizabeth is handing out pens of various colors. She has determined that the chance of a customer receiving a blue pen is 0.008. Ricardo is handing out tote bags of various colors He has determined that the chance of a customer receiving a blue tote bag is 0.04. What statement describes the likelihood of a customer getting a blue tote bag or blue pen?

Answers

Answer:

4.8% probability of a customer getting a blue tote bag or blue pen.

Step-by-step explanation:

We have these following probabilities:

0.008 probability of a customer receiving a blue pen.

0.04 probability of a customer receiing a blue tote bag.

What statement describes the likelihood of a customer getting a blue tote bag or blue pen?

Independent events, so

0.008 + 0.04 = 0.048 = 4.8% probability of a customer getting a blue tote bag or blue pen.

Answer this correctly I’ll give brainalist + 10 points

Answers

Answer:

50

Step-by-step explanation:

please brainalist

Answer:

x= 60

Step-by-step explanation:

brr 180 degrees total, divided by 3x would be 60

so X=60

Racial dimorphism mesning

Answers

Answer:

Facial sexual dimorphism emerges at puberty: as the size and shape of the male and female faces increase with age, faces begin to show different secondary sexual characteristics (i.e., masculine or feminine).

Dncnfufhcbdjskxbcdjdkcbxbsjsbccbx

calculate 30% of 500 kg​

Answers

150 kilograms is your answer
Answer: 150 kg :D

Have a good day :D

right and evaluate an expression to help you determine how much you make if you charge $7.50 to walk dogs and you walk 10 dogs​

Answers

Answer:

7.50(10)

You make 75 dollars

Step-by-step explanation:

7.50(10)= 75

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Answers

Answer

If you mean 5082 ÷ 5 than the answer is 1016.4

Step-by-step explanation:

Hope it helps!

Line g has a slope of
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Answers

Answer:

45

Step-by-step explanation:

45

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Answers

Answer: 5.4

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

Can someone tell me how to do this task please?

Answers

the answers are basically the first 5 numbers in the 14 times tables
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A car is driven 600 miles and uses 20 gallons of gas. If gas is $1.05 per gallon, what is the gasoline cost per mile?

Answers

Answer:

hi

Step-by-step explanation:

Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1900. How long did each mechanic work?

Answers

55x+90y=1900
x+y=25, x=25-y
55(25-y)+90y=1900
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Helpppppp please i need help on this question

Answers

Step-by-step explanation:

K=12 if you want explanation i will

Explanation:
k + 6 = 18
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k = 12

Jorge has $150 in his savings account. He earns $33 a week mowing lawns. If Jorge saves all of his earnings, after how many weeks will he have$437 saved?

Answers

Answer:

9 weeks

Step-by-step explanation:

used a calculator really easy

The number of calories in a one ounce serving of a certain chicken sandwich is a random variable with mean 110 calories. The number of calories in a full cup of lemonade is a random variable with mean 140 calories. For lunch, you eat one ounce of the chicken sandwich and LaTeX: \frac{1}{2}1 2 cup of lemonade. Let K be the random variable that represents the total number of calories in this lunch. The mean of K is

Answers

Answer:

The mean of K is 180 calories.

Step-by-step explanation:

Mean of a sum of normal distribution:

The mean of a sum of normal distributions is the sums of the mean.

In this question:

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Answers

Answer:

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Answers

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−x4−6≥−8

Answers

Answer:

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Answer:

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Please answer the blanks

Answers

5/6=10/12
10/12=5/6
3/12=9/4
3/4=9/12

Answer:

5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12

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