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3 years ago

A triangle has two sides of lengths 6 and 9. What value could the length of the third side be?

1 answer:

4 0

The sum of the lengths of two sides of a triangle must always be less than or equal to the third side. So, if we let the third side be x, we have:

$\begin{cases}6+x\geq9\\x+9\geq6\\6+9\geq x\end{cases} \iff \begin{cases}x\geq3\\x\geq -3\\x\leq 15\end{cases} \iff \begin{cases}x\geq3\\x\leq 15\end{cases}$

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A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34

VikaD [51]

Answer:

41.6 centimeters

Step-by-step explanation:

The right triangle formula: c^2 = a^2 + b^2

c is the hypotenuse side of the triangle

a and b are the legs of the triangle.

Find the hypotenuse : c^2 = (24)^2 + (34)^2

c = square root of ( (24)^2 + (34)^2)

c = square root of ( 576 + 1,156)

c = 41.6173

5 0

3 years ago

Hi, can somoene please check why my solution and explain why I get the wrong answer.

trapecia [35]

Answer:

$a_n=(1-n)2^n+3^n$

Step-by-step explanation:

You are correct down to the part where you add the partial results:

$a_n=a_n^h+a_n^p=A3^n+B2^n-n2^n\\\text{Using the given starter values, we can find A, B:}\\a_0=2=A\\a_1=7=3A+2B+2\\\text{has solution A=1, B=1, so ...}\\\\a_n=3^n+2^n-n2^n$

4 0

3 years ago

A merchandiser must decide whether she should continue stocking a particular brand of jeans in the year 2012. The graph represen

KiRa [710]

B. <span>The less one earns, the less likely one is to vote.
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7 0

3 years ago

The distances from Frisco, Texas to Lincoln, Nebraska is 621 miles. if a driver averages 51.75 miles per hour, approximately wha

True [87]

Givens

D = 621 miles

r = 51.75

t = ?

Formula

d = r * t

Solve

621 miles = 51.75 * t Divide by 51.75

621 / 51.75 = t

t = 12 hours.

Answer B

4 0

3 years ago

Find the area of the last part. ?)<br> 3<br> 2<br> 1/2<br> 1/3<br> 2/3<br> 3/2

nika2105 [10]

<h2>Question:</h2>

A rectangle measures 3 1/3 inches by 2 1/2 inches what is its area ? Find the area of the last part .

<h2>Solution:</h2>

we know that the area of a rectangle is the product of it's dimensions

so, the area of the given rectangle would be

so ,the measure of the last part would be

$\frac{1}{3} \times \frac{1}{2} \\ = \frac{1}{6}$

3 0

3 years ago