Answer:
The measure of the angles:
24° and 66°
Step-by-step explanation:
Complementary angles sum 90°
then:
(3x + 3) + (10x-4) = 90
3x + 10x + 3 - 4 = 90
13x - 1 = 90
13x = 90+1
13x = 91
x = 91/13
x = 7°
then:
3x+3 = 3*7 + 3 = 21+3 = 24°
10x - 4 = 10*7 - 4 = 70 - 4 = 66°
Check:
66° + 24° = 90°
Answer:
Given
x+y+z=0
⟹x+y=−z
Cubing on both sides
(x+y) 3 =(−z) 3
⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3
⟹x 3 +y 3 +3xy(x+y)=−z 3
⟹x 3+y 3+3xy(−z)=−z 3
⟹x 3 +y 3−3xyz=−z 3
⟹x 3 +y 3 +z 3 =3xyz
Step-by-step explanation:
Hope it is helpful.....
Answer: B
Step-by-step explanation:
Answer:
Interest in 3 years = $456.52
Step-by-step explanation:
As we know the the formula of compound interest
Total amount = 
Here n = number of times amount is compounded
r = rate of interest
t = period
Here A = $2500
r = 0.0575
n = 1 (compounded annually)
t = 3 years
Therefore amount after 3 years

P =2500(1.0575)³
= 2500×1.18
= $2956.52
We have to calculate the interest then
Interest = $2956.52-$2500 = $456.52
So after 3 years interest gained = $456.52
Answer: 0.025
Step-by-step explanation: we reject null hypothesis if p<0.05