Answer:
224
Step-by-step explanation:
1st Digit - 9 (1 way)
2nd Digit - 2, 3, 5, 7 (4 ways)
3rd Digit - (10-2) ways
4th Digit - (10-3) ways
Therefore, the number of ways are 1 × 4 × 8 × 7
= 224 ways
Answer:
√85
Step-by-step explanation:
a² + b² = c²
6² + b² = 11²
36 + b² = 121
b² = 121 - 36
b² = 85
b = √85
Answer:
£1045.57
Step-by-step explanation:
Using compound interest formula then

Where A= the future value of the investment/loan, including interest
P = the principal investment amount
r = the annual interest rate
n = the number of times that interest is compounded per unit t

Hence her amount t the end of 5 yrs is $1045.57
Consider angle XZY in the attached figure. It is always 1/2 the measure of arc XY, no matter where Z may be located on the major arc XZY. This is true even when ZY is very short.
Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.
Selection C is appropriate.
_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.
Answer:
150° : 30°
Step-by-step explanation:
total ratio
5 + 1 = 6
ratio 1
180 ÷ 6 = 30
ratio 5
30 × 5 = 150