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bazaltina [42]
3 years ago
15

Which represents the solution set of 5(x+5)<85?

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

The answer is: x<12

Steps by steps

5(x+5)<85

Divide each term by 5 and simplify.

5(x+5)÷5<85÷5

Reduce the expression by cancelling the common factors.

x+5<85÷5

Divide 85 by 5.

x+5<17

Move all terms NOT containing "x" to the right side of the inequality.

Subtract 5 from both sides of the inequality.

x<-5+17

Add -5 and 17.

=x<12

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A right triangle has legs of lengths 9 cm and 12 cm. calculate the length of the hypotenuse?
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Your first instinct might tell you to use the Pythagorean theorem to go about solving this because c= \sqrt{a^{2}+b^{2}}. This works, but it is slow.

The fastest way to solve this is to recognize that the right triangle is a special triangle where the ratio of the sides are 3:4:5. This means that if the legs are 9 and 12, then the hypotenuse is 15 because 3*3 is 9, 3*4 is 12, and 3*5 is 15.
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The actual distance is therefore 32km
3 0
2 years ago
Express the decimal as a percent. 0.053
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Hey this is very easy to learn! So to express a decimal as a percent all we have to do is multiply it by 100. So multiplying .053 by 100 would just mean moving the decimal point 2 spaces to the right.

So the answer would be 5.3%

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8 0
3 years ago
Geometry help needed!
lilavasa [31]

Answer:

13.76

Step-by-step explanation:

Area of the whole

The area of the whole = s^2 (the firgure is a square

s = 8

Area of the whole = 8^2 = 64

Area of the unshaded part

The 2 half circles = 1 whole circle

The radius of the 1/2 circle = 4 (eight has been cut in half)

Area of two half circles = 2* (pi r^2/2)

Area of two half circles = 2 * (pi 4^2/2)

area of two half circles =  16*pi

Area of the shaded area

Area of the shaded area = area of the whole - area of the unshaded area

Area of the shaded area = 64 - 16*pi

Area of the shaded area = 64 - 3.14*16 = 13.76

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3 years ago
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Dmitry [639]

Depth of Hank descends = The point he reached - the point where he worked initially

                                          = 57 - 10

                                          = 47 ft

Hence, Hank descends 47 ft.

3 0
2 years ago
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