Answer:
B
Step-by-step explanation:
Angle 4 × Angle 3 = 90
Complementary angles
11x + 4x = 90
15x = 90
x = 6
Angle 3 = 4x = 4(6) = 24°
Answer:
=
(
x
2
+
6
)
(
x
+
3
)
Step-by-step explanation:
[Grouping the first 2 terms together and the 2md 2 terms together.]
x
3
+
3
x
2
+
6
x
+
18
=
(
x
3
+
3
x
2
)
+
(
6
x
+
18
)
[Common factor]
=
x
2
(
x
+
3
)
+
6
(
x
+
3
)
{Taking the common bracket]
=
(
x
2
+
6
)
(
x
+
3
)
~Hope this helps! :)
Answer:
Step-by-step explanation:
<u>Given equation</u>
<u>Solving for h</u>
- A=1/2(B₁+B₂)h
- 2A = (B₁+B₂)h
- 2A/(B₁+B₂)= h
- h = 2A/(B₁+B₂)
You find the radius and you multiply it by 2, that is diameter because raidus is half of diameter
Let's interpret this equation. If we have that a runner has 0 races under his belt, he completes the race in 38.1 min. We have that the slope is -1.2 min/race and the intercept at n=0 is 38.1 min. Hence, for every race, the duration of the run decreases by 1.2 min (or increases by -1.2 min).
Lets derive that. Suppose a runner that has run n races, runs once more.
The difference of times is:
(-1.2(n+1)+38.1)-(-1.2n+38.1)=-1.2(n+1)-(-1.2n)= -1.2n-1.2+1.2n=1.2 minutes.
Hence, the correct answer is the first.
