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ololo11 [35]
3 years ago
5

**The given angles are (-1+38x) and (36x+3)". x=

Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

these angles are alternate-interior angles which are congruent

-1 + 38x = 36x + 3

38x = 36x + 4

2x = 4

x = 2

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What is the height of the cylinder given v=904.78 cm^3 and r =6 cm ^2
antiseptic1488 [7]
V = (pi)r^2 * h
V / (pi)r^2 = h
V = 904.78
r = 6

904.78 / (3.14 * 6^2) = h
904.78 / (3.14 * 36) = h
904.78 / 113.04 = h
8.004 rounds to 8 = h........height is 8 cm

7 0
3 years ago
involving a carnival fishpond. Assume that the pond contains 100 fish: 78 purple, 21 blue, and 1 silver. A contestant pays $0.65
saw5 [17]

Answer:

On average the carnival gain on each play

= 0.04 dollars

Step-by-step explanation:

Given that a pond contains 100 fish: 78 purple, 21 blue, and 1 silver.

Fish            Purple     Blue          Silver    total

   

Frequency  78               21                 1    100

Prob          0.78      0.21             0.01      1

Revenue           0.4                0.8            13  

game fee 0.65        0.65            0.65  

Net revenue -0.25      0.15            12.35    

   

Net Rev*Prob -0.195      0.0315   0.1235   -0.04

Thus we get per player expected net revenue is -0.04

This would be gain for Carnival

Hence On average the carnival gain on each play

= 0.04 dollars

3 0
3 years ago
Solve for x: x/3 = -48
oksano4ka [1.4K]

Answer:

-144

Step-by-step explanation:

x=-48 times 3

8 0
2 years ago
Read 2 more answers
1) James needs to obtain $80,000 for his daughter's future college tuition. He is looking to invest in an
Mazyrski [523]

Answer:

$ 50,340.97

Step-by-step explanation:

From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.

The formula to find Principal in a compound interest question is:

P = A / (1 + r/n)^nt

Where:

A = Total Amount obtained after invested = $80,000

r = Interest rate = 3.1% = 0.031

n = number of times interest in compounded = Quarterly = 4

t = time in years = 15

P = $80,000/(1 + 0.031/4)^4 × 15

P = $80,000/(1 +0.00775)^60

P = $ 50,340.97

Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.

3 0
3 years ago
Rationalise: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B48%7D%20%7D%7B%5Csqrt%7B3%7D%20%7D" id="TexFormula1" title="\
Hoochie [10]

Answer:

4

Step-by-step explanation:

Root(48)/Root(3)

= root(48/3)

= root(16)

=4

7 0
3 years ago
Read 2 more answers
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