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ankoles [38]
3 years ago
15

Based on the diagram, what is sinA ? Enter your answer as a fraction in the boxes.

Mathematics
2 answers:
Step2247 [10]3 years ago
5 0

For this case, we have that by definition:

Sine (x) = \frac {Cathet \ opposite \ to \ angle \ x} {Hypotenuse}

In this case we are asked to find the expression as a function of angle A.

Observing the figure we have:

Sine (A) = \frac {a} {c}

In an equivalent way we have:

Sine (A) = \frac {BC} {BA}

ANswer:

Sine (A) = \frac {a} {c}\\Sine (A) = \frac {BC} {BA}

Leya [2.2K]3 years ago
3 0

Answer:

sinA = \frac{a}{c}

Step-by-step explanation:

sinA = \frac{opposite}{hypotenuse} = \frac{BC}{AB} = \frac{a}{c}

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eimsori [14]

Answer:

Option 4: x^2+y^2 = 52

Step-by-step explanation:

Given

Centre at origin

Point on circle = (-4, -6)

The distance between origin and point on circle will be the radius of the circle

So,

r = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}\\r= \sqrt{(-4-0)^2+(-6-0)^2} \\r = \sqrt{(-4)^2+(-6)^2}\\r = \sqrt{16+36} \\r = \sqrt{52}

As the center is at origin the standard equation will be:

x^2+y^2 = r^2\\

Putting the value of r

x^2+y^2 = (\sqrt{52})^2\\x^2+y^2 = 52

Hence, last option i.e. Option 4 is correct ..

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3 years ago
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 ∠O  ≅  ∠U is third statement which is congruent .

What is congruent triangle?

  • Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other.
  • Congruent refers to having precisely the same form and size.
  • If all three sides of two triangles are the same, they are said to be congruent.
  • If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.

ΔONP and ΔUTV are congruent .

By using ASA Theorem ,

                 NP ≅ TV

                ∠P  ≅  ∠V

                ∠O  ≅  ∠U

Learn more about congruent

brainly.com/question/22062407

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1 year ago
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Brian deposits $7000 into an account that pays simple interest at an annual rate of 3%. He does not make any more deposits. He m
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Answer:

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B)8050

Step-by-step explanation:

to find interest we use the formula A= P(1+rt) where P is the initial investment, r is the rate percent, and t is the time interval

for this question we have A=7000(1+3(5)) which gives 8,050 dollars which is the answer to part B

for part A we simply subtract the answer from B from the initial investment so 8050 - 7000 = 1050 made from interest

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