Answer:
138°
Step-by-step explanation:
∠YUV creates arc YV. Circle Z is made up of arc UV (84°) and arc YV. Solve for the measure of arc YV. (A circle equals 360°)
84° + x = 360°
arc YV = 276°
arc YV is formed from a secant and a tangent. Because of this ∠YUV is half of arc YV.
276° ÷ 2 = 138°
∠YUV = 138°
Answer:
a = 29
u = 12
Step-by-step explanation:
32 + 7u + 9 + 2a - 3 = 3a + 7u + 9
32 + 2a - 3 = 3a
a = 29
3(29) + 7u + 9 = 180
7u = 180 - 96
7u = 84
u = 12
Answer:
The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344
Step-by-step explanation:
56% of the students are involved in a sport team
56% = 0.56
According to the question, it is stated that 24% of the students at the school that are involved in a sports team also participated in the prom dance.
24% = 0.24
This means that we are going to find 24% of the original 56%, since 24% of them also participated in the prom dance.
The probability that a student who is involved in a sports team also participated in the prom dance = 0.24 * 0.56
The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344
Answer:
The first 5 terms of the sequence is 2,7,15,26,40.
Step-by-step explanation:
Given : Consider the sequence defined recursively by

To find : Write out the first 5 terms of this sequence ?
Solution :
and
The first five terms in the sequence is at n=1,2,3,4,5
For n=1,




For n=2,




For n=3,




For n=4,




For n=5,




The first 5 terms of the sequence is 2,7,15,26,40.