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3 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. Right triangle

Mathematics

1 answer:

e-lub [12.9K]3 years ago

7 0

<h3>The measure of angle y is 35.68 degrees</h3>

Solution:

Given that,

hypotenuse 12

Opposite 7

Find the measure of angle y

y is unknown and is between the hypotenuse and adjacent side

The figure is attached below

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse

Therefore,

$sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68$

Thus measure of angle y is 35.68 degrees

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Artyom0805 [142]

Answer: $22.50

Step-by-step explanation:

If each piece of candy cost $4.50 you have to multiply that by 5.

4.50+4.50+4.50+4.50+4.50

Or 4.50x5

=$22.50

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4 years ago

Consider lines An and CD

vichka [17]

Answer:

slope of AB = 2

slope CD = 2

Step-by-step explanation:

the equation of a line is y = ax+ b where a is the slope, b is the y-intercept

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→ yB - yA = axB + b - axA - b

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3 years ago

A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is

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Let V be the volume of the tank. The inlet pipe fills the tank at a rate of

V / (5 hours) = 0.2V / hour

and the outlet pipe drains it at a rate of

V / (8 hours) = 0.125V / hour

With both valves open, the net rate of water entering the tank is

(0.2V - 0.125V ) / hour = 0.075V / hour

If t is the time it takes for the tank to be full, then

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2 years ago

A Chef prepares and evenly divides s ounces of beef stock into 3 smaller pans. The chef uses 8 ounces of beef stock form one of

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Answer:

Thus, the equation hat correctly represents the number of ounces of beef stock, $s$ , that the chef initially prepares.

⇒ $\frac{s}{3}-8=34$

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Step-by-step explanation:

Given:

Total ounces of beef stock = $s$

The chef divided the beef stock evenly into 3 smaller pans.

The chef then uses 8 ounces from one of the smaller pans.

Ounces of beef stock left in the smaller pan = 34

Solution:

Total ounces of beef stock = $s$

Ounces of beef stock in each smaller pan = $\frac{s}{3}$

Ounces of beef stock used by the chef from the smaller pan = 8.

The ounces of beef stock left in the smaller pan will be given as:

⇒ $\frac{s}{3}-8$

Ounces of beef stock remaining in smaller pan = 34

Thus, the equation hat correctly represents the number of ounces of beef stock, $s$ , that the chef initially prepares.

⇒ $\frac{s}{3}-8=34$

Solving for $s$ .

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Multiplying both sides by 3.

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∴ $s=126$

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Answer:

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Step-by-step explanation:

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