Answer:
36°
Step-by-step explanation:
An angle whose vertex lies outside a circle whose sides are 2 secants of the circle is
angle =
( larger arc - smaller arc ), that is
42 =
( 120 - smaller ) ← multiply both sides by 2
84 = 120 - smaller, hence
smaller = 120 - 84 = 36°
Answer:
3
Step-by-step explanation:
2 ÷ 2/3
Make the whole number a fraction
2/1 ÷ 2/3
Copy dot flip
2/1 * 3/2
The 2 in the numerator and denominator cancel
1/1 * 3/1
3
Answer:
7^5= 16,807 and 4^5= 1,024
Step-by-step explanation:
seven to the fifth power is 16,807 and four to the fifth power is 1,024 do you add them together? if so it is 17,831. hope I understood and did it correctly.
Answer:
56
Step-by-step explanation:
Here, n = 8, r = 3
![\huge \orange{ \because \: ^nC_r = \frac{n!}{r!(n - r)!} } \\ \\ \huge \therefore \: ^8C_3 = \frac{8!}{3!(8 - 3)!} \\ \\ \huge \therefore \: ^8C_3 = \frac{8 \times 7 \times 6 \times 5!}{3 \times 2 \times 1 \times 5!} \\ \\ \huge \red{ \boxed{\therefore \:^8C_3 = \purple{56}}}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Corange%7B%20%5Cbecause%20%5C%3A%20%5EnC_r%20%3D%20%20%5Cfrac%7Bn%21%7D%7Br%21%28n%20-%20r%29%21%7D%20%7D%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Ctherefore%20%5C%3A%20%5E8C_3%20%3D%20%20%5Cfrac%7B8%21%7D%7B3%21%288%20-%203%29%21%7D%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Ctherefore%20%5C%3A%20%5E8C_3%20%3D%20%20%5Cfrac%7B8%20%5Ctimes%207%20%5Ctimes%206%20%5Ctimes%205%21%7D%7B3%20%5Ctimes%202%20%5Ctimes%201%20%5Ctimes%205%21%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%5E8C_3%20%3D%20%20%20%5Cpurple%7B56%7D%7D%7D)