9514 1404 393
Answer:
MP = 38
Step-by-step explanation:
Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.
3x +14 = 9x -34
48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides
24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)
NP = 3x +14 = 24 +14 = 38
NP = OP = MP = 38
Answer:
a. x = 3
b. x = 3
Step-by-step explanation:
Given
Required
Find x
Solving
From laws of indices;
So;
Write 64 in base of 4
From laws of indices;
So; x = 3
Solving
Write 64 as a base of 2
Divide both sides by 2
<span>Solution:
We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c
</span>volume of the prism = v = 2058 cm³
Use: c = (3x)(x)
c = 3x²
Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7
a = 3x
a = 3(7)
a = 21
b = x
b = 7
h = 2x
h = 2(7)
h = 14
c = 3x²
c = 3(7)²
c = 3(49)
c = 147
a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²
21 = 1*21, 3*7
27 = 1*27, 3*9
39 = 1*39, 3*13,
From here can you see any common factors?
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Answer: -13 1/2
Explanation:
-9/1 * 3/2 = -27/2 = -13 1/2
I hope this helped!
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- Zack Slocum
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