MATHEMATICS HIGH SCHOOL

Law of Sines:sin(A)/a = sin(B)/b = sin (C)/c

Triangle ABC has measures a = 2, b = 2, and m∠A = 30°. What is the measure of angle B?

A. 15°
B. 30°
C. 45°
D. 60°

Answers

Answer 1
Answer:

The measure of angle B is 30°,

Hence option B is correct.

To solve this problem,

Use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides and their corresponding angles.

Therefore, we have,

sin(A)/a = sin(B)/b

Then, after putting the given measure,

sin(30°)/2 = sin(B)/2

Multiplying both sides by 2, we get,

sin(B) = sin(30°)

As sin is a positive function for angles between 0 and 180 degrees,

Hence,

∠B = 30°

Therefore, the answer is option B.

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Answer 2
Answer: Hello,

as sin A/a= sin B/b
==>(1/2)/2 =sin B/2
==>sin B=1/2
==>B=30° or 150°
But one say triangle ABC is not a plat triangle ==>150° is excluded.

Answer B: 30°

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A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 30,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 27°. (Round your answers to the nearest foot.)(a) What is the distance between the plane and the arch? (b) What is the distance between a point on the ground directly below the plane and the arch?

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Answers

the answer is five point six five, 5.65

Final answer:

To calculate ten minus four point three five, you subtract 4.35 from 10. The result of this calculation is 5.65.

Explanation:

To calculate ten minus four point three five, you simply subtract 4.35 from 10. This is a basic math operation, and can be solved on a calculator or by hand. If you are performing the operation by hand, you align the numbers vertically by their decimal points and subtract normally, remembering to carry over any values from the right of the decimal point:

10.00
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5.65

So, ten minus four point three five equals 5.65.

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Ray Cupple bought a basic car costing $10,150.00, with options costing $738.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?Here are the options but I don't understand them of course. ;n;
A. $11,591.28
B. $10,938.00
C. $11,541.28
D. $11,547.00

 *I really need it explained and the answer, I can't do math to save my life and it is killing me. I've done all kinds of programs and such, just can't seem to keep any math in my brain.

Answers

            The Cost of a Basic Car: $10,150.00
Options on the Cost of a Basic Car: $738.00
           License and Registration Fee: $50.00
                                      Subtotal: $10,938.00
                                              Sales Tax: 0.06
                                           Total: $11,594.28

I notice that I have to add the cost of the car, the option of the car, the license and registration fee, and the sales tax in order to find out the total of what it might cost for all of them. So I calculated it in a receipt form to find of the subtotal and the total of Ray' s cost, which is above the screen.

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Answers

There are none. "Square foot" is a unit of area, not volume. 
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If you meant to ask about 161.25 CUBIC feet, I can help you there:

(161.25 ft³) x (1,728 in³/ft³) x (1 gallon/231 in³) = 1,206.234 gallons (rounded)
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Answers

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Answers

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n = 15 ; r = 2

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Using the combination formula, it is found that the students can be selected in 105 ways.

The order in which the students are selected is not important, hence the combination formula is used to solve this question.

What is the combination formula?

The number of possible combinations of x elements from a set of n elements is given by:

C_((n,x)) = (n!)/(x!(n-x)!)

In this problem, two students are selected from a set of 15, hence the number of different orders is given by:

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Answers

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Step-by-step explanation:

Using the Pemdas method, you can solve the equation.
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