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4 years ago

A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n?

Mathematics

2 answers:

yaroslaw [1]4 years ago

6 0

Answer:

d) The possible value of n can be expressed as 15 < n < 25.

Step-by-step explanation:

Here, the given sides of the triangle are:

First Side = 20 cm

Second Side = 5 cm

Third side = n cm

Now ,as we know " SUM OF ANY TWO SIDES OF A TRIANGLE IS ALWAYS GREATER THAN THE THIRD SIDE"

⇒ Length of ( First + Second ) side > Third Side

or,( 20 cm + 5 cm ) > n cm

or, n < 25 cm

Now, from all given options,

15 < n < 25 is the MOST APPROPRIATE.

Hence, the possible value of n can be expressed as 15 < n < 25.

Masteriza [31]4 years ago

4 0

Answer:d

Step-by-step explanation:i just did the test

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3 years ago

Boris invested his savings in two investment funds. The $12,000 that he invested in fund a returned a 6% profit the amount that

Sedbober [7]

Answer:

$4000

Step-by-step explanation:

Let B represent amount invested in account 'b'.

We have been given that an amount of $12,000 that Boris invested in fund a returned a 6% profit.

So the profit earned from fund 'a' would be $12,000\times\frac{6}{100}=12,000(0.06)$ .

We are also told that the amount that he invested in fund b returned at 2% profit. So the profit earned from fund 'b' would be $B\times\frac{2}{100}=B(0.02)=0.02B$ .

Further, both funds together returned a 5%. We can represent this information as:

$(12,000+B)\times\frac{5}{100}=0.05(12,000+B)$

Now, we will equate profit earned from account 'a' and 'b' with profit earned from both accounts as:

$12,000(0.06)+0.02B=0.05(12,000+B)$

$720+0.02B=600+0.05B$

$600+0.05B=720+0.02B$

$600-600+0.05B=720-600+0.02B$

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$0.05B-0.02B=120+0.02B-0.02B$

$0.03B=120$

$\frac{0.03B}{0.03}=\frac{120}{0.03}$

$B=4000$

Therefore, Jason invested $4000 in fund 'b'.

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