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Diano4ka-milaya [45]

2 years ago

13

The legs of a right triangle have lengths of 4 and 5 units. what is the length of the hypotenuse

1 answer:

vlabodo [156]2 years ago

3 0

This question can be solved using the Pythagorean theorem. $a^2 + b^2 = c^2$ where a and b are the legs of the triangle and c is the hypotenuse.

$4^2 + 5^2 = c^2$
$16 + 25 = c^2$
$41 = c^2$
$\sqrt{41} = c$
So, c is approximately 6.403.

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X+y=120 <br>5.25x+3.0y=517.2

Sauron [17]

I will try to solve your system of equations.<span><span><span>
x+y</span>=120</span>;<span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span></span>
Step: Solve<span><span>x+y</span>=120</span>for x:<span><span><span>
x+y</span>+<span>−y</span></span>=<span>120+<span>−y</span></span></span>(Add -y to both sides)<span>x=<span><span>−y</span>+120</span></span>
Step: Substitute<span><span>−y</span>+120</span>forxin<span><span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span>:</span><span><span><span>
5.25x</span>+<span>3y</span></span>=517.2</span><span><span><span>5.25<span>(<span><span>−y</span>+120</span>)</span></span>+<span>3y</span></span>=517.2</span><span><span><span>−<span>2.25y</span></span>+630</span>=517.2</span>(Simplify both sides of the equation)<span><span><span><span>−<span>2.25y</span></span>+630</span>+<span>−630</span></span>=<span>517.2+<span>−630</span></span></span>(Add -630 to both sides)<span><span>−<span>2.25y</span></span>=<span>−112.8</span></span><span><span><span>−<span>2.25y</span></span><span>−2.25</span></span>=<span><span>−112.8</span><span>−2.25</span></span></span>(Divide both sides by -2.25)<span>y=50.133333</span>
Step: Substitute50.133333foryin<span><span>x=<span><span>−y</span>+120</span></span>:</span><span>
x=<span><span>−y</span>+120</span></span><span>x=<span><span>−50.133333</span>+120</span></span><span>x=69.866667</span>(Simplify both sides of the equation)
Answer:<span><span>
x=<span><span>69.866667<span> and </span></span>y</span></span>=<span>50.133333</span></span>

4 0

2 years ago

by selling an item at $20.70, a trader makes a profit of 15%. at what price should he sell the item so as to make a profit of 35

Alisiya [41]

Answer:

24.3 i think

Step-by-step explanation:

x * 1.15=20.7

20.7/1.15=18

18 * 1.35=24.3

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Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?

Sophie [7]

Answer:

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Step-by-step explanation:

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The total is 60 what is 5% of 60 dollers

wlad13 [49]

5% of 60 dollars is 3 dollars.

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A card is drawn from a standard 52-card deck. What is the probability that the card is a red 8, given that the card is an 8?

crimeas [40]

<span>probability that the card is a red 8
=
2 out of 52 or 1 out of 26

hope it helps</span>

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2 years ago

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