Answer:
Step-by-step explanation:1.
Use law of cosine.
AB^2 = AC^2 + BC^2 - 2 * AC * BC * cos(angle ACB)
AB^2 = 53^2 + 71^2 - 2(53)(71)cos(53)
Using calculator,
AB = about 57.6259 feet
2.
Law of cosine again.
d^2 = 400^2 + 90^2 - 2(400)(90)cos(45)
using calculator,
d = about 342.3278 feet
Answer:
x = 7
Step-by-step explanation:
7 x 7 = 49
Answer:
f(-3) = 21
Step-by-step explanation:
We "evaluate" the function f(x)=2x^2+3 at x = -3 by subbing -3 for x in f(x)=2x^2+3:
f(-3) = 2(-3)^2 + 3 = 2(9) + 3 = 21.
Thus, f(-3) = 21
Answer:
10 cm
Step-by-step explanation:
We want to find TS = ST
ST = CD from the second statement of congruence
CD = IJ from the first statement of congruence
We know IJ = 10
That means ST = 10
Answer:
Inverse of g(x)=x+15/3
Step-by-step explanation:
g(x)=3x-15
Let, g(x) be y
y=3x-15
Interchange x and y
x=3y-15
x+15=3y
y=x+15/3