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3 years ago

120% as a fraction in simplest form

1 answer:

6 0

6/5 because how do you convert a percentage to a decimal? First you move the decimal points over by two, so you start off with 120 and end with 1.20. There are many ways you can go from here. If you have a graphing calculator like i do, then you type in 1.20 hit the "math" button, hit enter and a fraction already in its simplest form is given. I hope this helps, have a great day.

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The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

3 0

3 years ago

Look at the three dimensional solid below

Sever21 [200]

Answer:

Step-by-step explanation:

3 0

3 years ago

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A boat starts from a port and moves 12 miles north and then moves 5 miles east. what is the present distance of the boat from th

disa [49]

If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.

Solution:

h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13

The present distance of the boat from the port is 13 miles.

7 0

3 years ago

..................

sveticcg [70]

Answer:

y = 100°

Step-by-step explanation:

x = 40° (vertical angles are congruent)

y is an exterior angel of a triangle that has two opposite internal angles, x (40°) and 60°.

According to the exterior angle of a triangle, thus:

y = 40 + 60

y = 100°

3 0

3 years ago

It was 96 kilometers from perry to medford. David raced to medford and idled back. If the round trip took 8 hours, what was his

valkas [14]

Average speed = (total distance) / (total time)

Average speed = (192 km) / (8 hours) = 24 km per hour .

3 0

3 years ago

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