Answer:
x=46
y=122
m angle (x+12)=58°
Step-by-step explanation:
31+x+45+12+x=180
2x+88=180
x=46
y=122
x+12=58°
<u>Given</u>:
Given that the radius of the hemisphere is 9.8 inches.
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
The volume of the hemisphere can be determined using the formula,

where r is the radius of the hemisphere.
Substituting r = 9.8 in the above formula, we get;

Simplifying, we get;



Rounding off to the nearest tenth, we get;

Thus, the volume of the hemisphere is 1970.2 cubic inches.
The number is 42.
Let xy be the number. x is the tens digit, y is the units digit. The ratio of the units digit to the tens digit, y/x, is 1/2. This gives us the proportion
y/x = 1/2
The tens digit is 2 more than the units digit; x = y+2; substituting in our proportion we have
y/(y+2) = 1/2
Cross multiply:
y*2 = (y+2)*1
2y = y+2
Subtract y from each side:
2y - y = y+2-y
y = 2
x = y+2
x = 2+2
x =4
xy = 42
Answer:
D. the graph has a y-intercept of 2
Step-by-step explanation:
If you look at the graph, the y-axis is the vertical (or up and down) axis. The y-intercept is when x=0.
Answer:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or 
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
x-2=x+4
-2≠4 x∈Ф
or x-2=-(x+4)
x-2=-x-4
2x=-2
x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
2x-7=x+3
x=10
or 2x-7=-(x+3)
2x-7=-x-3
3x=4
