Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
Answer:
94 m
Step-by-step explanation:
Write a proportion:
3.1 / 1.18 = x / 35.75
Cross multiply and solve:
1.18x = 3.1 × 35.75
1.18x = 110.825
x ≈ 94
Rounded to the nearest meter, the height of the tower is approximately 94 meters.
Answer:
y = |x-3| -1
Step-by-step explanation:
The parent function has been shifted right 3 units and down 1 unit. That is f(x)=|x| has been moved to ...
y = f(x -3) -1
y = |x -3| -1 . . . . matches the last choice
Answer:
$1,061
Step-by-step explanation:
2% of 1000 is 20.
If 2% is compounded yearly, then
year one- $1,020
year two- $1,040.40
year three- $1,061.21
Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.
Answer:
z=-1.591
Step-by-step explanation:
Null Hypotheses,

So we use z-test for one population proportion (right-tailed test)
According to this informaton, we defined that

(critical value)
So our Rejection region is 

Not rejection.