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Andre45 [30]
3 years ago
6

Divide 72 in a ratio of 1:3:5

Mathematics
1 answer:
likoan [24]3 years ago
6 0
<span>1+3+5 = 9

72/9 = 8

1 x 8 = 8
3 x 8 = 24
5 x 8 = 40

</span><span>72 in a ratio of 1:3:5 = 8:24:40</span>
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4 years ago
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
3 years ago
Solve the equation.-7=y/7
ad-work [718]

Answer:

y = -49

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

-7 = y/7

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Multiply 7 on both sides:                    -49 = y
  2. Rewrite:                                               y = -49
7 0
3 years ago
Help pls............!!!!!
mezya [45]

Answer:

The 3rd set

Step-by-step explanation:

The first set has a range of 6, not 5

The second set has a range of 5, but not a mean of 5

The third set has both a mean and a range of 5

8 0
3 years ago
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