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Archy [21]
3 years ago
10

In AIJK, the measure of K=90°, the measure of I=74°, and JK = 6 feet. Find the length of IJ to the nearest tenth of a foot.

Mathematics
1 answer:
Damm [24]3 years ago
7 0

Answer:

6.2 feet

Step-by-step explanation:

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Simplify the surd 3√ 20 +√ 45 ​
melisa1 [442]

Answer:

9\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplify the radicals

\sqrt{20}

= \sqrt{4(5)}

= \sqrt{4} × \sqrt{5}

= 2\sqrt{5}

\sqrt{45}

= \sqrt{9(5)}

= \sqrt{9} × \sqrt{5}

= 3\sqrt{5}

Then

3\sqrt{20} + \sqrt{45}

= 3(2\sqrt{5} ) + 3\sqrt{5}

= 6\sqrt{5} + 3\sqrt{5}

= 9\sqrt{5}

3 0
3 years ago
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What is the slope of the line that passes through the points (4, 5) and (12, 7)?
blondinia [14]

Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

2/8 simplifies to 1/4

3 0
3 years ago
How do extraneous solutions arise from radical equations?
Blababa [14]
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5 0
3 years ago
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Solve the variable<br> -10+ s/1.5= -5
patriot [66]

Answer:

s = 15 over 2 (15/2 fraction) or 7.5

3 0
3 years ago
Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is cha
faltersainse [42]

Answer:

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

Step-by-step explanation:

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

We are also told that For any minutes over 200, Ben is charged $0.35 per minute.

let x  be the minutes used each month

So, if x\leq 200

So, coat will be $39

If x>200

So, Ben is charged $0.35 per minute

So, when x>200

So, charge = 39+(x-200)\times 0.35

So, the piecewise functions accurately represents charges based on Ben's cell phone :

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

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3 years ago
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