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2 years ago

What are the three different kinds of problems we can solve using the percent proportion?

Mathematics

1 answer:

shtirl [24]2 years ago

3 0

Answer:

We have now seen solutions method for the three basic types of percent problems ;finding the amount, the rate, and the base

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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

3 0

3 years ago

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In 2014, the population of Hong Kong was estimated to be approximately 7,112,688 people. The city covers an area of approximatel

ratelena [41]

We know that

Population density<span> is a measurement of population per unit area
</span>[population density]=population/area-----><span>7,112,688/426.25----> 16686.66
16686.66----------> 16687 person/square mile

the answer is
</span>16687 person/square mile

8 0

3 years ago

Which of the following represents the graph of f(x) = 3x − 2?

kodGreya [7K]

Answer:

graph of exponential rising up to the right, through the point 0, negative 2

Step-by-step explanation:

I graphed the function on the graph below so you can see that it rises to the right and goes through the point (0,-2).

6 0

2 years ago

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Can someone help me and show how to write the perimeter equation to find x.

disa [49]

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

10x = 13

x = 1.3

7 0

3 years ago

Somebody pls help me!!!

Setler [38]

<h3>Answer: 60 units</h3>

=====================================================

Explanation:

The similar red marks on the angles tell us those angles are congruent. So they are the same measure.

The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.

--------------

Solve for x

AC = BC

5x-8 = 2x+7 .... substitution

5x-8-2x = 7 ... subtract 2x from both sides

5x-2x = 7+8 ..... add 8 to both sides

3x = 15

x = 15/3 ... divide both sides by 3

x = 5

---------------

Use that x value to compute each side length

AB = 3x+11 = 3*5+11 = 15+11 = 26

BC = 2x+7 = 2*5+7 = 10+7 = 17

CA = 5x-8 = 5*5-8 = 25-8 = 17

Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.

----------------

The last step is to add up all the side lengths to get the perimeter

perimeter of triangle = sum of all the sides

perimeter of triangle = side1 + side2 + side3

perimeter of triangle ABC = AB + BC + CA

perimeter of triangle ABC = 26 + 17 + 17

perimeter of triangle ABC = 60 units

4 0

2 years ago

Read 2 more answers