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7 months ago

Two sides of a triangle have the following measures. Find the range for the measure of the third side.

1 answer:

7 0

The possible values for the third side's measurement are3 < x < 17. Any two sides of a triangle's lengths added together must be longer than the third side.

<h3>How do you determine a triangle's perimeter?</h3>

The third side of a triangle must always have a length that is between (but not exactly) the sum and the difference of the other two sides.
Any two sides of a triangle's lengths added together must be longer than the third side.
Each side of a triangle with sides a, b, and c must fall within the difference and total of the other two.
For instance, side a must be between b-c and b+c or b-cab+c.
The third side must fall between 10 -7 = 3 and 10 + 7 = 17.

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siniylev [52]

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2 years ago

Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5

vichka [17]

So the expression is: $4 a^{2} + 2a + 4 a^{2} - 5$

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two $4 a^{2}$ . $4 a^{2} + 4 a^{2} = 8 a^{2}$ The other terms can't be combined.

Your final answer should be $8 a^{2} +2a-5$ .

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3 years ago

A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest

nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate you need to divide by 100 to get it in decimal form

t = time, in years if you are given a partial year, divide the months by 12

P = $12,000

r = 7.5% = .075

t = 1

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075 Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

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2 years ago

Alan just got a Fall job. The equation P = 12.50h represents the salary P (in dollars) he will earn when he works h hours. How m

balandron [24]

Given:

Alan salary P (in dollars) when he works h hours is represented by the equation

$P=12.50h$

To find:

The earning per hour.

Solution:

We have,

$P=12.50h$

Here, P is total salary and h is number of hours he works.

$\text{Earning per hour}= \dfrac{\text{Total salary}}{\text{Number of hours}}$

$\text{Earning per hour}= \dfrac{12.50h}{h}$

$\text{Earning per hour}=12.50$

Therefore, the earning per hour is $12.50.

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2 years ago