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3 years ago

The formula for the volume of a tetrahedron is given as v=sh. Rewrite the

Mathematics

1 answer:

IrinaK [193]3 years ago

6 0

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 :

$h=\dfrac{V}{s}\\\\=\dfrac{48}{8}\\\\h=6$

So, the height of the tetrahedron is 6 units.

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Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will

blondinia [14]

150 divided by 25 equals 6. 6 times 3 equals 18. This means that you will spend $18 on gas each week.

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3 years ago

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Nicholas drew a triangle with 45, 35, and 100 degree angles. Is there another triangle with the same three angles but different

Anna11 [10]

Answer:

Yes, there are infinite triangles with the same three angles but different side lengths

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

therefore

There are infinite triangles with the same three angles but different side lengths

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3 years ago

Y=4x-6 and passes through point 8,12

umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

$y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20$

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

$y=mx+b\\y=4x-20$

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

$y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14$

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

$y=mx+b\\y=-\frac{1}{4} x+14$

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2 years ago

Two stores have competing back-to-school sale. Which store offers the better price per T-shirt? What is the price? Explain.

kiruha [24]

The store that is larger sells shirts at a better price because they have greater supply in comparison to the demand of shirts. The price is $2.99 because the larger store offers a discount of 10%.

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2 years ago

Evaluate for the given value of the variable y x 6 for y =2/3

yaroslaw [1]

2/3 * 6= 4 Or .66 * 6 = 3.999 etc Rounded Is 4

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2 years ago