Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
Answer: 94.99 in^2
Step-by-step explanation: The equation for the area of a circle is A=πr^2. To solve this, we need to find the radius. The diameter is the whole circle, whole the radius is half. So divide the diameter by 2.
11/2 = 5.5
The radius is 5.5 inches. Plug the radius into the equation.
A=π5.5^2
Square the 5.5 first. You will get 30.25.
A=π30.25
Plug in 3.14 for pi.
A=3.14 x 30.25
Multiply.
A=94.985
Round to the nearest hundredth.
A=94.99
The area of the circle is 94.99 in^2.
Answer:
x = 11
Step-by-step explanation:
2x + 34 = 56
2x = 56 - 34
2x = 22
x = 22/2
x = 11
I think it would be 2x2uehhehehehegdgwgegege
