21/8 as a mixed number

1 answer:

8 0

You're answer is 2 5/8. To find a mixed number, you take an improper fraction, (such as 21/8), and you divide the numerator by the denominator. Now, you take the remainder and that will be your new numerator, and the divisor will be your denominator. Example:

__2___ Answer: 2 5/8
8 I 21
-16
-------------
5

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PLEASE PLEASE HELP! Find the measure of APB^.

Whitepunk [10]

Answer:

65°

Step-by-step explanation:

Radii CA and CB are perpendicular to tangent lines AT and BT, so

$\angle CAT=\angle CBT=90^{\circ}$

Since angle BAT is equal to 65°, angle CAB has measure

$\angle CAB=90^{\circ}-65^{\circ}=25^{\circ}.$

Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

$\angle CBA=\angle CAB=25^{\circ}$

The sum of the measures of all interior angles in triangle is always 180°, so

$\angle CAB+\angle CBA+\angle ACB=180^{\circ}\\ \\25^{\circ}+25^{\circ}+\angle ACB=180^{\circ}\\ \\\angle ACB=130^{\circ}$

Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so

$x=\angle APB=\dfrac{1}{2}\cdot 130^{\circ}=65^{\circ}$

8 0

3 years ago

9 11/12- 2 8/11 is a problem that i need help on

Vitek1552 [10]

Hey there!!

Okay here are the steps you can follow!

9 11/12 ----> improper fraction ----> 119/12
2 8/11 ----> improper fraction ----> 30/11

119/12 - 30/11
(119/12 - 30/11) * 132
11(119) - 12(30)
1309 - 360
<u>949</u>

3 0

3 years ago

What is the sine of A as a fraction?

NARA [144]

Answer:

15/17

Step-by-step explanation:

Sine is $\frac{opposite}{hypotenuse}$ , and we see that the angle opposite of A is 15 while the hypotenuse is 17. Plug that into your formula and you get $\frac{15}{17}$ .