<span>its diameter is 16 inches,
</span><span>So, according to the Pythagorean Theorem, for some right triangle with legs of length a, b, and hypotenuse of length c,
then a² + b² = c²
</span>c = 16 inches, and a = b.
<span>a² + a² = 16² </span>
<span>2a² = 256 </span>
<span>a² = 128 </span>
<span>√a² = √128 </span>
<span>a = √128 </span>
<span>a = √(64•2) </span>
<span>a = 8√2 </span>
<span>So, the size is an 8√2 by 8√2 square. </span>
Fraction of black pens = 2/ (2 + 5) = 2/7 answer
Answer:
is -90
Step-by-step explanation:
−6+(21)(−4)
=−6+−84
=−90
Answer:
Step-by-step explanation:
The length of an arc with measure and radius is given by . From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by subtracted from 360. The measure of the arc formed by consists of two congruent angles, and . To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
We have:
Therefore,
The measure of the central angle of must then be
Thus, the length of is equal to:
(three significant figures as requested by question).