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alexira [117]
3 years ago
6

Solve the right triangle. Round decimal answers to the nearest tenth.​

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

AB = 15

A = 53º

B = 37º

Step-by-step explanation:

To find AB you can use pythagoream's theorem.

c^2=a^2+b^2\\c=\sqrt{a^2+b^2}

c=\sqrt{(9)^2+(12)^2} \\c=\sqrt{81+144}\\ c=\sqrt{225}\\ c=15

To find the angle A, use sine

sin=\frac{opposite}{hypothenuse}

sin=\frac{12}{15}\\ sin^-^1=53

To find B, remember that all of the angles of a triangle add up to 180º. If you already have 90º + 53º + x =180º

143º+x=180º

Subtract 143

x=180º-143º

x=37º

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mezya [45]

Answer:

Eric can either charge $10 or $40 in order to break even.

Step-by-step explanation:

Eric has a summer lawn mowing business and the equation:

p=-3x^2+150x-1200

Models his total profit <em>p</em> by charging <em>x</em> dollars per lawn.

We want to determine what price Eric needs to charge in order to break even.

The price Eric charges to break even means that his total profit will be zero. Hence, we can let <em>p</em> = 0 and solve for <em>x</em>. Thu:

0=-3x^2+150x-1200

We can divide both sides by -3:

0=x^2-50x+400

Factor:

0=(x-10)(x-40)

Zero Product Property:

x-10=0\text{ or } x-40=0

Solve for each case. Hence:

x=10\text{ or } x=40

Therefore, Eric can either charge $10 or $40 in order to break even.

6 0
3 years ago
In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 15 consonants, wha
solniwko [45]
<span>Total constants = 15

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</span>
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Read 2 more answers
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BARSIC [14]
Multiplied by the cross

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