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Ierofanga [76]
2 years ago
6

Monica found the volume of the prism below using the expression .

Mathematics
1 answer:
lina2011 [118]2 years ago
4 0

Answer:

See Explanation

Step-by-step explanation:

The expression and the dimension of the prism are not given.

So, I will just give a general expression.

The volume of a prism is:

Volume = Length * Width * Height

Assume that:

Length = 2

Width = 2

Height = 1\frac{2}{3}

<em>See attachment</em>

<em></em>

Monica's expression should be:

Volume = 2 * 2 * 1\frac{2}{3}

And the solution will be:

Volume = 2 * 2 * \frac{5}{3}

Volume = \frac{20}{3}

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B27%7D%20" id="TexFormula1" title=" \frac{9}{27} " alt=" \frac{9}{27} " ali
anyanavicka [17]

Answer:

<em><u>5/18</u></em> is not equivalent to 1/3.

Step-by-step explanation:

9/27, 2/6 and 15/45 are equivalent to 1/3.

5 0
3 years ago
The formula for the volume of a sphere is a power function:
soldier1979 [14.2K]

Answer:

r≥0

V(r) ≥0

Step-by-step explanation:

V(r) = 4/3 * Pi* r^3

The domain is the input values for r

The radius cannot be less than 0  but can be any number bigger than 0

What is the domain of the function in this situation?

r≥0

The range is the output values for the function or the volume

The volume must be greater than or equal to zero

V(r) ≥0

7 0
3 years ago
Read 2 more answers
Need help with the blanks
Crazy boy [7]
Answers: 
33. Angle R is 68 degrees
35. The fraction 21/2 or the decimal 10.5
36. Triangle ACG
37. Segment AB
38. The values are x = 6; y = 2
40. The value of x is x = 29
41. C) 108 degrees
42. The value of x is x = 70
43. The segment WY is 24 units long
------------------------------------------------------
Work Shown:
Problem 33) 
RS = ST, means that the vertex angle is at angle S
Angle S = 44
Angle R = x, angle T = x are the base angles
R+S+T = 180
x+44+x = 180
2x+44 = 180
2x+44-44 = 180-44
2x = 136
2x/2 = 136/2
x = 68
So angle R is 68 degrees
-----------------
Problem 35) 
Angle A = angle H
Angle B = angle I
Angle C = angle J
A = 97
B = 4x+4
C = J = 37
A+B+C = 180
97+4x+4+37 = 180
4x+138 = 180
4x+138-138 = 180-138
4x = 42
4x/4 = 42/4
x = 21/2
x = 10.5
-----------------
Problem 36) 
GD is the median of triangle ACG. It stretches from the vertex G to point D. Point D is the midpoint of segment AC
-----------------
Problem 37)
Segment AB is an altitude of triangle ACG. It is perpendicular to line CG (extend out segment CG) and it goes through vertex A.
-----------------
Problem 38) 
triangle LMN = triangle PQR
LM = PQ
MN = QR
LN = PR
Since LM = PQ, we can say 2x+3 = 5x-15. Let's solve for x
2x+3 = 5x-15
2x-5x = -15-3
-3x = -18
x = -18/(-3)
x = 6
Similarly, MN = QR, so 9 = 3y+3
Solve for y
9 = 3y+3
3y+3 = 9
3y+3-3 = 9-3
3y = 6
3y/3 = 6/3
y = 2
-----------------
Problem 40) 
The remote interior angles (2x and 21) add up to the exterior angle (3x-8)
2x+21 = 3x-8
2x-3x = -8-21
-x = -29
x = 29
-----------------
Problem 41) 
For any quadrilateral, the four angles always add to 360 degrees
J+K+L+M = 360
3x+45+2x+45 = 360
5x+90 = 360
5x+90-90 = 360-90
5x = 270
5x/5 = 270/5
x = 54
Use this to find L
L = 2x
L = 2*54
L = 108
-----------------
Problem 42) 
The adjacent or consecutive angles are supplementary. They add to 180 degrees
K+N = 180
2x+40 = 180
2x+40-40 = 180-40
2x = 140
2x/2 = 140/2
x = 70
-----------------
Problem 43) 
All sides of the rhombus are congruent, so WX = WZ.
Triangle WPZ is a right triangle (right angle at point P).
Use the pythagorean theorem to find PW
a^2+b^2 = c^2
(PW)^2+(PZ)^2 = (WZ)^2
(PW)^2+256 = 400
(PW)^2+256-256 = 400-256
(PW)^2 = 144
PW = sqrt(144)
PW = 12
WY = 2*PW
WY = 2*12
WY = 24
3 0
2 years ago
Evaluate the value of the expression<br>4(x+2-5x) when x=2​
mart [117]

Answer:

-24

Step-by-step explanation:

plz mark brainlyest

6 0
2 years ago
I don't really understand, please help!!
miv72 [106K]

Step-by-step explanation:

the proof is given above

4 0
3 years ago
Read 2 more answers
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