Step-by-step explanation:
oh, come one ! you can literally see that one ...
a full rotation on a clock is a full circle and stands therefore for 360°.
for the minute hand these 360° represent 60 minutes.
4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.
4/60 = 1/15
360 × 1/15 = 24°
so, 4 minutes represent 24°.
If a secant<span> and a </span><span>tangent of a circle </span><span>are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.
</span><span>
y</span>² = 7(15+7)
<span>y</span>² = 7*22
<span>y</span>² = 154
<span>y = </span>√154
<span>y = 12.4 </span>← to the nearest tenth<span>
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<h3>
Answer: 5/12 (choice C)</h3>
Explanation:
Recall that tangent = opposite/adjacent.
For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.
Answer:3/4 inch
Step-by-step explanation:
Step-by-step explanation:
A = (1, 3)
B = (3, 6)
C = (9, 2)
D = (7, -1)
the distance between 2 points is given by the Pythagoras equation based on the coordinate differences as legs of virtual right-angled triangles.
AD for example we get from
AD² = (7-1)² + (-1 - 3)² = 6² + (-4)² = 36 + 16 = 52
AD = sqrt(52) = sqrt(4×13) = 2×sqrt(13)
and AB we get from
AB² = (3-1)² + (6-3)² = 2² + 3² = 4 + 9 = 13
AB = sqrt(13)
the perimeter of the given rectangle is
2×sqrt(52) + 2×sqrt(13) = 2×2×sqrt(13) + 2×sqrt(13) =
= 6×sqrt(13) = 21.63330765...
and the area of the rectangle is
2×sqrt(13)×sqrt(13) = 2×13 = 26
