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Trava [24]
4 years ago
5

If 0° < x° < 90° and sin x = 1/2 , then cos x = ?

Mathematics
1 answer:
Naddik [55]4 years ago
7 0
Sinx = opps/hyp = 1/2

2^2 = 1^2 + x^2
x = sqrt(3) = adj

Cosx = adj/hyp = sqrt(3)/2






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A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ___ units. The point
mixas84 [53]

Answer:

The radius is 5 units

(-7,-1) and (-7,5) lies on the circle

Step-by-step explanation:

Use the distance formula to find the distance between the center and the given point that gives you the radius.

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The center is (-3,2) and the point on the circumference is (1,5)

r=\sqrt{(1--3)^2+(5-2)^2}

r=\sqrt{(4)^2+(3)^2}

r=\sqrt{16+9}

r=\sqrt{25}

\therefore r=5

The radius is 5 units.

The equation of the circle is given by:

(x--3)^2+(y-2)^2=5^2

(x+3)^2+(y-2)^2=25

When x=-7, we obtain y by substituting into the equation of the circle:

(-7+3)^2+(y-2)^2=25

(-4)^2+(y-2)^2=25

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y-2=\pm \sqrt{9}

y=2\pm 3

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Therefore (-7,-1) and (-7,5) lies on the circle.

6 0
4 years ago
A donut has a diameter of 7 in. What is the radius?
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Rate of snow fall per hour ≥ 1 inches per hour

Step-by-step explanation:

Given:

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