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Tems11 [23]
3 years ago
13

What expressions correctly uses the exponents to show the prime factorization of 360?

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0
The prime factorization of 360 is 360 = 2 * 2 * 2 * 3 * 3 * 5 = 2^3 * 3^2 * 5
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Which of the following numbers is between 0.40 and 0.47?
ira [324]

Answer:

C. 21/50 because 21/50 written in a decimal is 0.42

3 0
3 years ago
The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base
Galina-37 [17]

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

4h^2 + 7h = 186                   Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

b = 7

c = - 186

x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

x1 = (-7 + sqrt(49 - 16*(-186)) / 8

x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

4 0
2 years ago
How do i work this problem out
evablogger [386]
7/10 times 3/6 is 21/60 just multiply a cross
7 0
3 years ago
If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are simi
tiny-mole [99]
Yes the triangles are similar. It’s true
8 0
3 years ago
Two walls have the same area. The first wall is in the shape of a square and has a height
STatiana [176]

Answer:

27 feet

Step-by-step explanation:

Two walls have same area

Area of first wall(square) = 18*18 = 324

Area of second wall = 12 * x = 324

324/12 = 27

27 feet

7 0
3 years ago
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