1 inch = 2.54 cm
27 feet 10 inches = 27 * 12 + 10 = 334 inches.
334 inches = 334 inches * 2.54 cm / inch = 848.36 cm
1 meter = 100 cm
x = 848.36 cm
Cross multiply
848.36 cm * 1 meter = 100 cm * x Divide both sides by 100
848.36 cm* meter/ 100 cm = x
8.48 meter = x
Answer 8.48 meters.
We can use Law of Cosines to solve for the angle of Z. The solution is shown below:
cos C=(a²+b²-c²)/2ab
cos Z = (yz² + xz² - xy² )/2*yz*xz
cos Z = (20² + 25 - 13²)/2*20*25
cos Z = 856 / 1000
Z=31.13°
The answer is angle 31.13°.
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°