Mathematics High School

The formula for the volume of a tetrahedron is given as v=sh. Rewrite the
equation so that the height is a function of the area of base and the volume (solve for
the height), then find the height when the area of base is 8 and the volume is 48.

Answers

Answer 1

Answer:

h = 6 units

Step-by-step explanation:

The formula for the volume of a tetrahedron is given as :

V = sh

Where

s is area of base and h is height

Put s = 8 and V = 48 to find h as follows :

[tex]h=\dfrac{V}{s}\\\\=\dfrac{48}{8}\\\\h=6[/tex]

So, the height of the tetrahedron is 6 units.

Related Questions

Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

25.30*8% tax = 2.02 tax

total 25.30+2.02= $27.32

Answer:

$27.32

Step-by-step explanation:

Multiply $25.30 by 0.08 (8% is equal to 0.08)

2.024

Add 2.024 to $25.30

That would be 27.324

Round to the nearest hundredth

$27.32

Hope this helps :)

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What is the slope of a line with the equation y = 5x + ⅖ ?

Answers

Answer:

The slope would be 5

Step-by-step explanation:

The reason why it would be five is because the slope formula is y=mx+b with m being your slope and b being your y-intercept.

Answer:

slope: 5

Step-by-step explanation:

[tex]y=mx+b[/tex] is the equation used to find the slope of an equation. The slope is ALWAYS the "m" value. So.... in this equation y=5+2/5... the "m" value is 5.... making the slope of the equation 5.

The sum of two numbers is 37. Their difference is 7. What are the numbers?

Answers

Answer:

22 and 15

Step-by-step explanation:

22+15=37

22-15=7

ivan scores 56 out of 80 marks in a maths test
what is his score as a percentage

Answers

Answer:

70%

Step-by-step explanation:

(56/80) * 100

0.7 * 100

70%

-3\10d= -4\5 this is just so i can get answer ggggggggggggggggggg

Answers

Answer:

d = 8/3

Step-by-step explanation:

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

plzz help!!!!!!!!!!

Answers

the answer is 53

Step-by-step explanation:

25 plus 25 is 50 plus 3

Find the slope of the line passing though points (-7, 8) and (5, -7).​

Answers

Answer:

13/13= Slope = 1

Step-by-step explanation:

M=rise/run, So that means 13 down then 13 to the left.

So 13/13 is the slope, but if it is simplified it is slope=1

Grace and Zoe like to jump rope grades jump 66 times a minute Zoe jumps 56 times a minute they both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump

Answers

Answer:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

Step-by-step explanation:

Let the time for which Grace jumps the rope = [tex]x[/tex] minutes

Let the time for which Zoe jumps the rope = [tex]y[/tex] minutes

As per question statement:

[tex]x+y=21 ..... (1)[/tex]

Number of times Grace jumps in one minute = 66

Number of times Zoe jumps in one minute = 56

Number of times Grace jumps in [tex]x[/tex] minutes = 66

Number of times Zoe jumps in [tex]y[/tex] minutes = 56

As per question statement:

[tex]66x+56y=1266 ...... (2)[/tex]

Multiplying equation (1) with 66 and subtracting equation (2) from it:

[tex]10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}[/tex]

By equation (1):

[tex]x=21-12=\bold{9\ min}[/tex]

Therefore, the answer is:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

What would be the second step in solving the equation y−16=3y?
Divide both sides by 4
Divide both sides by 2
Divide both steps by -2
Divide both steps by -4

Answers

Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

Answer:

divide both sides by 2

Step-by-step explanation:

becoz first step is move the numbers

pliz give a brainliest

Bart can paint 3/5 of a wall in 1/2 hour. How long does it take him to paint 5 walls?

Answers

Answer:

2 hours

Step-by-step explanation:


1.) Select the correct equation for the following situation. Mariana had 134
crystals in her collection. This was 38 less than Rajesh's collection. How
many crystals are in Rajesh's collection?

38r = 134
r+ 38 = 134
r - 38 = 134
38 - r = 134

Answers

Answer:

r minus 38 equals to 134 this might be m not certain

The correct equation is, [tex]r-38=134[/tex] and Rajesh have 172 crystals .

Let us consider that, Rajesh had r  crystals.

Mariana had 134  crystals in her collection.

Since, Rajesh has 38 more crystal than Marina . So , if we subtract 38 from crystals Rajesh have then both have equal number of crystals.

So,     [tex]r-38=134[/tex]

Now, find crystals present in Rajesh collection.

                   [tex]r-38=134\\\\r=134+38=172[/tex]

Thus, Rajesh have 172 crystals .

Learn more about linear equation:

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y = (x + 6)(x – 7)
Distribution

Answers

Answer:

Y = [tex]x^{2}[/tex] - x - 42

Step-by-step explanation:

You can use the foil method

first, outside, inside, last

multiply the x’s together, the x times -7, the 6 times x, and then 6 times -7

Y = [tex]x^{2}[/tex] - x - 42

Lan is instructed to draw a rectangle with an area of 450 square centimeters.
Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the width of the
rectangle.

Answers

Answer:

xy = 450

Step-by-step explanation:

The relationship will be xy=450.

What is the Area?

The area defines the extent of the region in which we are working.

How to solve it?

As we know,

The area of a rectangle is given by xy=A

Where x, and y are the sides and A is the area.

So, the relation will be xy=450.

Learn more about the Area:

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An outdoor adventure company charges $9 per hour for a mountain
bike plus a $5 fee for a helmet.

Answers

Answer:500

Step-by-step explanation:500 +7++U+U++UU+

Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190

Answers

Answer:

It is D (-23, -7, 5, 9, 190)

Step-by-step explanation:

:)

Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.

Answers

Answer: 20 weeks in 1 week

in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

Which measure of Center would be most effected if 50 was added to the following data set? 10, 14, 15, 15, 18, 20​

Answers

Answer:

The mean.

Step-by-step explanation:

The mean because 50 is a lot bigger number than the numbers in the list.

The median (the middle number in an ordered list) would still be 15. Also the mode (15) will also stay the same.

The original mean = sum of the 6 numbers divided  by 6

= 92/5 = 15.3.

When 50 is added the mean is (92 + 50) / 7 =  20.3.

Answer:

The mean

Step-by-step explanation:

Because mean is the main measure of center that we solve first before solving the others

which data set has a mean of 12 and a mean absolute deviation of 1

Answers

Step-by-step explanation:

17 i think I hope its right

Select the correct answer.
7
3
77
X
A) 363
C) 7
B) 33
D) 77

Answers

Answer:

B) 33

Step-by-step explanation:

Since , both these triangle are similar
Therefore the sides are in the same ratio
This implies , 3/7=x/77
=> x= 3*77/ 7
x= 33
Hope it helps :))

The price of an item yesterday was $120. Today, the price fell to $66. Find the percentage decrease.
HELPP
I need this written out and explained I have 10 MINUTES LEFTTT

Answers

Answer:54

Step-by-step explanation: You simply minus $66 from $120. I am fairly sure that i am right. If my answer is wrong, then please forgive me.

Which choice below shows the value of 2.16? Choose all that apply.
Group of answer choices

two and six hundredths

2 + 0.1 + 0.06

2 + 0.01 + 0.06

two and sixteen

2 + 0.16

two and sixteen hundredths

Answers

Answer:

2 + 0.1 + 0.06

2 + 0.16

two and sixteen hundredths

Two and sixteen hundredths

Which can be used to expand the expression below?
5 3x
associative property
O commutative property
O distributive property
O subtracting

Answers

i think commutative i might be wrong

Answer:

the answer is disributive!

Step-by-step explanation:

Bill has a large collection of paperback books. He decided to donate 1/3 of them to his local library. If he had 126 to start with, how many does he have left?

Answers

Answer:

42

Step-by-step explanation:

Larry fills his bathtub at a constant rate. the amount of water in his tub is proportional to the amount of times he spends filling it. This relationship is described in the following graph

Answers

Answer:

A and B

Step-by-step explanation:

According to Khan Academy, it is A and B. Do NOT click "None of the Above." That is incorrect.

A number x is greater than 3.

Answers

Answer:

4,5,6,7,8,9..........................

CAN SOMEONE ANSWER THIS QUICK!

Answers

You can’t see the questions try taking the picture directly over the book

what is the vertical change from point A to point B ?

What is the horizontal change to point A to point B?

Answers

Answer:

Vertical change= 1

Horizontal change= 2

Rate of change=  1/2

Step-by-step explanation:

The vertical change is how many units you go up on the triangle and the horizontal change is how many units you go left or right on the triangle. The rate of change is the vertical change over the horizontal change. So that is why 1/2 is the rate of change. Have a great day!

Answer:

4

Step-by-step explanation:

I need help with this question right now please and thank you!

Answers

|10 7/9|,|-9 9/8|, |-10 4/9|, |-10 5/9|, |-10 8/9|

There are 11 books on a shelf , 7 of these books are new . The rest of them are used .
What is the ratio of new books to used book ?

Answers

Answer:

7:4

Step-by-step explanation:

11-7=4

7:4

The ratio of old books to the new books is new : old = 7 : 4.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, There are 11 books on a shelf, and 7 of these books are new.

So, The number of old books are (11 - 7) = 4.

So, In the self there is 7 new books and 4 old books.

Therefore the ratio of new books to old books,

new books : old books = 7 : 4.

learn more about proportion here :

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2. Count by 5¢ to complete the
pattern.
1
30¢, 35¢, 404,
Pls helpppp

Answers

10,15,20,25
45,50,55 there
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