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Dvinal [7]
2 years ago
7

Please answer the question in the picturee

Mathematics
1 answer:
marin [14]2 years ago
6 0

Answer: 8

Step-by-step explanation:

12-4= 8

*8 is the length of the side because of this theory I forgot, but yeah!

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Use the diagram of the right triangle above and round your answer to the nearest hundredth.
Svetlanka [38]

Option a: 17.32 \ {m} is the length of b

Explanation:

The angle of B is \angle B=60^{\circ} and a=10 \ m

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

\angle A+\angle B+\angle C=180^{\circ}

\angle A+60^{\circ}+90^{\circ}=180^{\circ}

       \angle A+150^{\circ}=180^{\circ}

                   \angle A=30^{\circ}

Thus, the angle of A is \angle A=30^{\circ}

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

\frac{a}{\sin A}=\frac{b}{\sin B}

where a=10 \ m , \angle A=30^{\circ} , \angle B=60^{\circ}

Thus, we have,

\frac{10}{\sin 30}=\frac{b}{\sin 60}

Simplifying, we get,

\frac{10}{0.5}=\frac{b}{0.866}

Multiplying both sides by 0.866, we get,

\frac{10\times0.866}{0.5}=b

Multiplying the numerator, we have,

\frac{8.66}{0.5}=b

Dividing, we get,

17.32=b

Thus, the length of b is b=17.32 \ m

Hence, Option a is the correct answer.

7 0
2 years ago
What is 9x895 in the distributive property
Mariulka [41]

9x895

= 9 (800 + 95)

=7200 + 855

= 8055

8 0
2 years ago
Read 2 more answers
What is the circumference of a circle with the radius of 5 cm use 3.14 for pi​
Archy [21]

Answer:

31.42cm

Step-by-step explanation:

3 0
2 years ago
Your uncle won the powerball jack[ot and decided to give you 50000 dollars. You want to save this money for college so you find
Ahat [919]

Answer: $58,088.57

Step-by-step explanation:

The investment is compounded weekly so you need to change the parameters of the equation to a weekly figure:

Interest rate is yearly so:

= 3.75%/52

= 3.75/52% per week

Number of periods is 4 years so:

= 4 * 52

= 208 weeks

Future value in 4 years is:

= 50,000 * ( 1 + 3.75/52%)²⁰⁸

= $58,088.57

7 0
2 years ago
Helppp me i neeed help
dexar [7]

Total no. of buttons = 300 + 700 + 1000

+ 500 = 2500

Possibility for a person to pick a pink button = 300/2500 = (3/25)%

Amount of pink buttons she can expect her friends to pick = 50(3/25) = 6

She can expect to make 6 pink barrettes.

6 0
3 years ago
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