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Dmitry [639]
2 years ago
14

Which set of measurements could be the side lengths of a triangle?

Mathematics
1 answer:
Artist 52 [7]2 years ago
6 0
We know that
Triangle Inequality Theorem establishes that the sum of the lengths of any two sides of a triangle<span> is greater than the length of the third side
</span>so
case <span>A. 5M, 11M, 7M
5+11 > 7----> ok
11+7 > 5 ---> ok
5+7 > 11----> ok

case </span><span>B.10 m, 4 m, 5 m
5+4 > 10-----> is not ok

case </span><span>C.8 m, 4 m, 4 m
4+4 > 8----> is not ok

case </span><span>D.6 m,11 m, 5 m
6+5 > 11-----> is not ok

the answer is
</span><span>A. 5M, 11M, 7M</span>
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What is the common factor of 10 15and 35​
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If a/4 = 9/a, then<br> a²=36<br> 4a = 9a<br> a + 4 = 9 + a<br> a - 4 = 9 - a
Anna [14]

Answer:

Option A is correct.

The given expression : \frac{a}{4} = \frac{9}{a} then;

a^2 = 36

Step-by-step explanation:

Given the expression: \frac{a}{4} = \frac{9}{a}

Cross multiplication the given expression following steps are as follow;

  • Multiply  numerator of the left-hand fraction by the denominator of the right-hand fraction
  • Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
  • then, set the two products equal to each other.

Using cross multiplication, on the given expression;

\frac{a}{4} = \frac{9}{a}

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

\frac{a \times a}{4} = 9

Simplify:

\frac{a^2}{4} =9                              [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

a^2 = 9\times 4

Simplify:

a^2 = 36

Therefore, the given expression is equal to: a^2 = 36




6 0
3 years ago
Read 2 more answers
A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man ac
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Answer:

  Birr 1341.67

Step-by-step explanation:

The tax is 15% of the price (p), so we have ...

  0.15p = 175

  p = 175/0.15 = 1166.67

When the tax is added, the total comes to ...

  1166.67 +175 = 1341.67

The man actually paid Birr 1341.67.

5 0
3 years ago
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