Answer:
Their sum is 140. The measure of an exterior angle is supplementary to the respective interior angle.
Step-by-step explanation:
Since the angle are on a straight line, m2 and 140 sum to 180.
So m2=40. Because a triangle has 180 degrees, m1 and m3 must sum to 140.
The exterior angle is always on the same incline as the interior angle, so it is always supplementary to the interior angle.
Answer:
x is 0.
Step-by-step explanation:
Subtract both sides by 3x. Then, you will have 10= x+10. Subtract 10 on both sides to isolate x, then you will have x=0. Therefore, this equation on both sides has a solution of 0. Hope this helps!
Answer:
64π m³
Step-by-step explanation:
The general formula for the volume of a cylinder:
V = πr²h, where 'r' is the radius and 'h' is the height
In the given problem, the radius is equal to 4 m and the height is equal to 4 m. Plugging these values into the equation:
V = π4²(4) = π16*4 = 64π m³
Summarizing the question,
Principle(P)=$100
Rate (r)=12%=0.12
Amount (A)=3×P=$300
Time=t=?
n=no of times the interest is compouned per year=4
Then,
A=P{(1+r/n)}^(n×t)
or,300=100×{1+0.12/4}^(4×t)
or,300/100=(1+0.03)^(4×t)
or,3=1.03^(4×t)
Taking log on both sides,
log3=log[(1.03)^(4×t)]
or,log3= (4×t)×log(1.03)
or,4t=log3/log(1.03)
or,t=log3/[4×log(1.03)]
or, t=9.29175...
t=9.3 years ANS!!!
Answer:
Can you show me the fourth choice? I will be able to answer once you post it. If this is a four choice problem, then it is the choice that I can not see.
Step-by-step explanation:
