Simplest form 4 1/4 + 3 2/6

1 answer:

4 0

If you find a common denominator for the two, which is 12 it will make it easier to add. So 4 3/12 + 3 4/12 = 7 7/12.
your answer is 7 7/12.

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In triangle abc, angle A is the right angle. What is the value of y?

Natalka [10]

Answer:

Step-by-step explanation:

In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.

Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.

Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:

$Sin(30)=\frac{y}{7}$

We solve for y:

$Sin(30)=\frac{y}{7}\\y = 7 Sin(30)$

Since the answer choice has angles in radians, we recall 30 degrees is $\frac{\pi}{6}$ radians.

Thus, the correct answer is $7Sin(\frac{\pi}{6})$ , or option A

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Solve the given system of equations.<br><br><br> The solution to the system is ( , ).

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Answer:

x=3

y=1

Step-by-step explanation:

First, get x and y on the left in the lower equation. -2x+10y=4. Then solve using a calculator. Select (apps), PlySmlt2, Simultaneous EQN Solver, and enter your euqations in.

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A scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefl

svlad2 [7]

Answer:

7.65 meters.

Step-by-step explanation:

Let x represent the distance that diver will travel.

We have been given that a scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefly at a reef that has an elevation of -4.55 meters. We are asked to find the distance that diver will travel.

The initial elevation plus x will be equal to -4.55 meters. We can represent our given information in an equation as:

$-12.2+x=-4.55$