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ludmilkaskok [199]
2 years ago
5

Find the value of x

Mathematics
1 answer:
Vilka [71]2 years ago
6 0

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}

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castortr0y [4]
The answer is A.

explanation:

the obvious ratio is 3:6, because there are 3 bananas and 6 oranges. if you simplify 3:6 it’s 1:2.

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3 years ago
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alina1380 [7]
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A scientist is studying certain germs. She places 3 germs in a special solution that will help the germs grow. The number of ger
vivado [14]
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2 years ago
What is the base of the triangle? A=36mm(2) H= 6mm B=?
Maurinko [17]

Answer:

Area formula=b*h÷2

b=a÷h*2

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Step-by-step explanation:

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To find the base, you'd reverse the process. You'd divide the area by the height and multiply by 2.

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4 0
3 years ago
A seamstress uses 3/4 yards of material to make a uniform top for band members. If there are 6 3/4 yards of material left on the
dalvyx [7]

Answer:

She can make 9 uniform tops from the material left.

Step-by-step explanation:

Given:

Yards of material left on the bolt = 6\frac{3}{4}

Material requirement for a uniform top for band members = \frac{3}{4}\ yd

To find the number of tops that can be made from the material left.

Solution:

In order to find the number of tops that can be made from 6\frac{3}{4} yards of material, we need to divide 6\frac{3}{4}\ yd  by  \frac{3}{4}\ yd.

Number of uniform tops that can be made is given as:

⇒ 6\frac{3}{4}\div \frac{3}{4}

We first convert mixed number to fractions.

⇒  \frac{27}{4}\div \frac{3}{4}

To divide fractions the fractions are multiplied after flipping the divisor.

⇒ \frac{27}{4}\times \frac{4}{3}

⇒ \frac{27}{3}

⇒ 9

Thus, she can make 9 uniform tops from the material left.

4 0
2 years ago
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