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

2.
What is the area of a triangle whose vertices are J(-2,1), K(4,3), and L(-2,-5) ?
(7 points)
a. What is the formula for the area of the triangle?
b.
Find the length of the base. Do not round to a decimal.
C.
Find the length of the height. Do not round to a decimal.
d. Find the area of the triangle.

Answers

Answer:

Area: T = 18

a.  The triangle area using Heron's formula: T=  sqrt(s(s−a)(s−b)(s−c) )

​b. 2[tex]\sqrt{10}[/tex]  

c. h = 5.69

d. T = 18

 

Step-by-step explanation:

a. T=  sqrt(s(s−a)(s−b)(s−c) )

T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )

​T=  sqrt(324 )

​T =18

b. We compute the base from coordinates using the Pythagorean theorem

c=  sqrt( ((−2−4)^2)+ ((1−3) ^2) )

c= sqrt(40) = 2sqrt(10)

c. Calculate the heights of the triangle from its area

 

​  

 

Marking brainles!!!!

Answers

Answer:

C. 4 ft x 6 ft

Step-by-step explanation:

May I have brainliest please? :)

If 0.5cm = 6 inches you can just double the number you have then multiply that by 6

4cm = 48cm which is 1.5748 feet

6cm =

Answer:

D

Step-by-step explanation:

0.5cm - 6ft

1cm=12ft

2cm= 24

3cm= 36

4cm = 48

5cm= 60

6cm = 72

48 divided by 6 is 8

72 divided by 6 is 12

1 + 1???????????????????

Answers

Answer:

2

Hopefully that's the answer you wanted XD

Answer:

2

Step-by-step explanation:

What is the equation of the line that has a slope of -4 and passes through ( 9, -5)

Answers

Answer:

y = -4x + 31

Step-by-step explanation:

y = mx + b

y = -4x + b

-5 = -4(9) + b

-5 = -36 + b

b = 31

Narrowing (see also stenosis) artery I77.1. Identify the meaning of the cross reference term indicated in the statement above.
A) The coder is instructed to go to the term stenosis to find a correct code. Mandatory instruction.
B) The coder is instructed to see also stenosis to look for more information if a specific code or subterm cannot be found under the main term Narrowing.
C) Not a mandatory instruction.
D) The coder is instructed to use the I77.1 code if a specific subterm under the main term Narrowing cannot be found.
E) The coder is instructed to use the code I77.1 and then look for an additional code under the term stenosis.

Answers

Answer:

C Not a mandatory instruction

Step-by-step explanation:

The swimming team has 84 members. The number of boys on the team is six more than twice the number of girls. How many boys and girls are on the team?

Answers

Answer:

the number of boys and girls on a team is 58 and 26 respectively

Step-by-step explanation:

Given that

Total members in swimming team is 84

Let us assume the number of girls be x

so, the number of boys would be

y = 2x + 6

Now the equation is

x + y = 84

x + 2x + 6 = 84

3x = 78

x = 26

And, y = 2 × 26 + 6

= 52 + 6

= 58

Hence, the number of boys and girls on a team is 58 and 26 respectively

A 10 kg bag of mangoes costs $12.
Find the price per kg of mangoes.

Answers

Answer:

1.2

Step-by-step explanation:

solve this please!!!!!​

Answers

Answer: Do mind that I don’t completely trust that I am right, but I ask that you have faith in me.

So if I’m thinking correctly we subtract 180 from 217 which gives us 37. We then add that to 104 and subtract the sum from 180 which gives us b. So,

180-104+37
180-141=39

So b should equal 39 degrees, to check we add all the respective angles up,

104+39+37=180

-8 - x = x - 4x
how does x equal to 4 and how do u do this

Answers

Answer:

x=4

Step-by-step explanation:

-x=-3x+8

-x+3x=-3x+8+3x

2x=8

2x/2 = 8/2

x = 4

Which graph represents the function y = 2 x - 2? ​

Answers

Answer:

the third one!

Step-by-step explanation:

the third graph represents that :)!

Find the height of the object next to the triangle using the similarity of the triangle.​

Answers

Answer: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

The sum of two complementary angles is 90 degrees.

Angle A  +  Angle B = 90

Let Angle B = X

5x + 2 + x = 90

Combine like terms:

6x +2 = 90

Subtract 2 from both sides:

6x = 88

Divide both sides by 6:

x = 88/6

x = 14.67

Angle B = 14.67 degrees ( rounded to the nearest hundredth)

What is the answer to 4^8/4^3 in 4^n form

Answers

Answer:

4^5

Step-by-step explanation:

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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]

[tex] {4}^{8 - 3} = {4}^{5} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

PLEASE HELP
Alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. Calculate the area of the isosceles trapezoid.

140 ft2
160 ft2
180 ft2
200 ft2

Answers

Answer:

D.) 200ft²

Step-by-step explanation:

The formula for the area of a trapezoid:

[tex]A=\frac{1}{2} (b_{1}+b_{2})h[/tex]

where:

[tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the basesh is the height

Insert the given values:

[tex]A=\frac{1}{2}(16+24)*10[/tex]

Simplify the equation using PEMDAS. Simplify parentheses:

[tex]A=\frac{1}{2}*40*10[/tex]

Simplify multiplication:

[tex]A=\frac{1}{2}* 400[/tex]

Simplify multiplication. Use the rule [tex]\frac{a}{b}*c=\frac{ac}{b}[/tex] :

[tex]A=\frac{1*400}{2}\\\\A=\frac{400}{2}[/tex]

Simplify division:

[tex]A=200[/tex]

The area is 200ft²

:Done

How are y'all doing today?

Answers

Answer:

goooooooooooooooooood

Step-by-step explanation:and you?

Answer:

Great!

Step-by-step explanation:

But in the future please only post questions, since this is a homework site.

Please answer!!!!!!!!!!!!!!

Answers

I ain’t never seen two pretty best friends 1 of the always gotta be ugly. (Sorry)

For which inequality is x = 5 a solution

Answers

Answer:

x <18

Step-by-step explanation:

The open side of the < always faces the bigger number.

i have the same answer as the other person

I couldnt find the awnser for this question anywhere

Answers

The answer is y=9.90 degrees (rounded)

Consider the function f(x) = x(x-4.
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
A) (c-2,y)
B) (2-c,y)

Answers

(2-c,y) is the answer for the problem.

CAN SOMEONE HELP ME WITH THIS

Answers

Answer:

The vertices of a triangle 1/4 the size of the shown triangle would be: (1,1), (2,3), (0,3)

Step-by-step explanation:

Consider this function. f(x)=2x-2 Which graph represents the inverse of function f?

Answers

Answer:

f(x) = x + 2/2 is the inverse

Step-by-step explanation:

Answer:

f(x) = x + 2/2 is the inverse

Step-by-step explanation:

x - y = 11 and 2x + y = 19 by elimination​

Answers

Answer:

(14,3)

Step-by-step explanation:

2x + y = 19

x - y = 11

-2(x - y) = -2(11)

-2x + 2y = -22

-2x + 2y = -22 + 2x + y = 19

3y = -3

y = 3

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

x - y = 11

x - 3 = 11

x = 11 + 3

x = 14

Solve 2x - 3 = 1 *

**giving BRANIEST to FIRST to answer with CORRECT answer **

Answers

Answer:

2

Step-by-step explanation:

+3 to both sides then

/2 from both sides

PLEASE HELP ASAP I WILL BRAINLIEST

Answers

Answer:

32 minutes and 30 seconds.

Step-by-step explanation:

3 hours = 180 minutes, plus 15 added = 195 so 195 ÷ 6 = 32.5 or 32 mins and 30 seconds

Answer:

32.5 minutes

Step-by-step explanation

60x4-45/6

Help!!! i need to get an A!!!

Answers

Answer:

Step-by-step explanation:

Write the slope intercept from of the equation of the line that passed though the given points.

(−1,−2)(1,−4)

Answers

Answer y=-x-3, ——————

Find the slope given for (-2,-5) and (3,-2)

Answers

Answer:

The slope is 3/5

Answer:

3/5

Step-by-step explanation:

The slope is given by

m = ( y2-y1)/(x2-x1)

   = ( -2 - -5) / ( 3 - -2)

   = ( -2+5)/( 3 +2)

  = 3/5

How do I fill out this form please help!

Answers

Answer:

what form?

Step-by-step explanation:

Answer:

Thats a good question

Step-by-step explanation:

lol.

Help ASAP. If this is hard to understand look at the picture I provided. Thanks On which number line do the points represent -52 and +2? (4 points)
R
T
tohoto
HH
-10 8 7 6 5 4 3 2
-1
0 1
2
3
4
5
7
8
9 10
HôtéttH
-1098-7
-3
2
0
1
2
3
4 5 6 7
8 9 10
R
T
Holt
9
8 -7
. 5 4 3
2
.
0
1
2
3
4
5
7
8 9 10
R
T
10 9 8 7 6 5 4 3 2 1
1 2 3 4 5 6 7
8 9 10

Answers

Answer:

The last choice

Step-by-step explanation:

So, - 5 1/2 is negative so it's on the left side of 0. 2 is a positive number so it's on the right side of the 0.

The last choice shows one blue dot on -5 1/2 and the other on 2, so it is correct

Find the solution to the system of the equations shown below: y = -4x + 11
y=1/2x+2​

Answers

Hello!

[tex]\large\boxed{x = 2}[/tex]

Set the two equations equal to each other to solve:

y = -4x + 11

y = 1/2x + 2

-4x + 11 = 1/2x + 2

Add 4x to both sides:

-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***

11 = 9/2x + 2

Subtract 2 from both sides:

11 - 2 = 9/2x + 2 - 2

9 = 9/2x

Divide both sides by 9/2:

9 * (2/9) = 9/2x * (2/9)

x = 2.

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