Answer:
The first prime factor we test is 2:
52 / 2 = 26
26 / 2 = 13
13 is a prime number so the prime factorization is
2 * 2 * 13 = 52
Step-by-step explanation:
The answer for the blank space is 21.8
Answer:
The height is 4.472
Step-by-step explanation:
That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
Answer:
Country A = 84
Country B = 28
Country C = 18
Step-by-step explanation:
Country A, Country B, and Country C won a total of 130 medals;
A + B + C = 130 ......1
Country B won 10 more medals than Country C;
B = C + 10 .......2
Country A won 38 more medals than the total amount won by the other two;
A = B + C + 38 ........3
Substituting equation 3 to 1;
(B+C+38) + B+C = 130
2B + 2C + 38 = 130 .......4
Substituting equation 2 into 4;
2(C+10) + 2C + 38 = 130
4C + 58 = 130
4C = 130-58 = 72
C = 72/4 = 18
B = C + 10 = 18 + 10 = 28
A = B + C + 38 = 18 + 28 + 38 = 84
Country A = 84
Country B = 28
Country C = 18
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Expression
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5x - 3x
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Substitute x = 2
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5 (2) - 3(2)
= 10 - 6
= 4
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Answer: 4
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