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2 years ago

The length of two sides of a triangle are 10, 15 find the range of possible lengths for the third side

Mathematics

1 answer:

Zepler [3.9K]2 years ago

5 0

Answer:

Range for third side is

( 5 , 25 ) cm.

Step-by-step explanation:

As two sides of triangle are 10 and 15 ,

the third side would have to be less than the sum of other two sides i.e. less than 25 cm.

On the other hand if it is smaller one than this side plus side of length 10

should be greater than 15 and therefore

this side is greater than 15 − 10 = 5 cm.

Hence range is

( 5 , 25 )

Hope this answer helps you :)

Have a great day

Mark brainliest

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wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

Product of the rational expression:

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

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Simplifying the terms, we get;

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Hence, Option C is the correct answer.

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3 years ago

HELP PLEASE!

Archy [21]

Answer:

Option 2 50 ≤ s ≤ 100

Option 5 She could deposit $50

Option 6 She could deposit $75

Step-by-step explanation:

Let

s -----> amount of money Layla deposit into a saving account

we know that

25%=25/100=0.25

50%=50/100=0.50

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$s\leq 0.50*200$ -----> $s\leq \$100$

The compound inequality is

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Verify each case

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The statement is false

see the procedure

case 2) 50 ≤ s ≤ 100

The statement is True

see the procedure

case 3) s ≤ 25 or s ≥ 50

The statement is false

Because is s ≤ 100 and s ≥ 50

case 4) s ≤ 50 or s ≥ 100

The statement is false

Because is s ≤ 100 and s ≥ 50

case 5) She could deposit $50

The statement is true

Because the value of s satisfy the compound inequality $\$50 \leq s\leq \$100$

case 6) She could deposit $75

The statement is true

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