Answer:
x = -1.5625
Step-by-step explanation:
Solve for x:
-8 x - 12.5 = 0
Add 12.5` to both sides:
(12.5 - 12.5) - 8 x = 12.5
12.5 - 12.5 = 0:
-8 x = 12.5
Divide both sides of -8 x = 12.5 by -8:
(-8 x)/(-8) = 12.5/(-8)
(-8)/(-8) = 1:
x = 12.5/(-8)
12.5/(-8) = -1.5625:
Answer: x = -1.5625
Answer:
The volume of the toy is 
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula

In this problem, the wide of the toy is equal to the diameter of the hemisphere
so

----> the radius is half the diameter
substitute

step 2
Find the volume of the cone
The volume of the cone is given by

we know that
The radius of the cone is the same that the radius of the hemisphere
so

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

substitute the given values

step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so


assume


4) In triangle, angle opposite to perpendicular is 90-60 = 30
So, tan Ф = P/B
tan 30 = a / 6
1/√3 = a/6
a = 6/√3
a = 2√3
Now, cosФ = B/H
cos 30 = 6/b
√3/2 = 6/b
b = 6*2/√3
b = 12/√3
b = 4√3
In short, Your Answer would be a = 2√3 and b = 4√3
Hope this helps!
Answer:
y - 7 =
(x + 8)
Step-by-step explanation:
Use the slope formula
to work out the slope
Then pick one point to insert into the formula y - y1 = m(x - x1)
Answer:
D. -0.98
Step-by-step explanation:
Well it is a negative correlation and it is really strong but it is impossible to go pasit -1.
<em>Thus,</em>
<em>the answer is D. -0.98</em>
<em />
<em>Hope this helps :)</em>