Answer:
arc PST = 254°
Step-by-step explanation:
arc QPT = 180° because it is a diameter
arc PQ = 74°
arc PT = 180° - 74° = 106°
arc PST = 360° - 106° = 254°
Step-by-step explanation:
The scale factor is 12/6 = 10/5 = 2.
Answer:
B."5, -3, -4, 1, -1, 6, -4"
Step-by-step explanation:
We are given that
13,5,4,9,7,14,4
We have to find the deviation.
Mean=
Using the formula


Deviation=

13 5
5 -3
4 - 4
9 1
7 -1
14 6
4 - 4
Hence, option B is correct.
Answer:
Step-by-step explanation:
a) The amount of concern is ...
(total interest)/(number of payments) = interest/payment
$14,644.95/120 ≈ $122.04 . . . . amount of interest per payment
__
b) The ratio of concern is ...
(total interest)/(total payments) × 100% = 14,644.95/39,644.95 × 100%
≈ 36.94% . . . . percent of total payments that is interest
Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity