Answer:
the answer is 15
Step-by-step explanation:
Given data:
Volume V = 45 π and radius
r = 3 units The formula for the volume of the cylinder is V = B · H
Base of the cylinder is:
B = r² π = 3² π = 9 πFrom the formula V = B · H we get H:H = V / B = 45 π / 9 π = 5 units
H = 5 units
Answer:
angle 2 is 43 as the opposite side of the angle is always equal angle 1 and 3 are:
step 1
43+43=86
step 2
360-86=274
step 3
274÷4=68.5
we subtracted 86 with 360 because 360 is the sum of all the angles we then divided the answer by 2 as we were suppose to find two angles angle 1 and 3 are opposite angles so they both will be same
hope this information helps u :)
Answer)
Exact form - 101/15
Decimal form - 6.73
Mixed number - 6 11/15
Answer:
1. x = 86
2. x = 31
3. x = 64
4. x = 29
Step-by-step explanation:
1. 2x + 8 = 180
-8 -8
2x = 180 (divide both sides by 2 to get x by itself)
2. 3x - 3 = 90
+ 3 +3
3x = 93 (divide both sides by 3 to get x by itself. you divide because 3x is multiplying and you have to do the reverse operation)
3. 2x -5 + x - 7 = 180 (you combine like-terms)
3x -12 = 180
+12 +12
3x = 192 (you divide by 3 on both sides)
4. x + 1 + x + 4 + x - 2 = 90 (combine like-terms)
3x + 3 = 90
-3 -3
3x = 87 (divide both sides by 3)
The complete question in the attached figure
we know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
<span>let's assume that the center of the sphere is at the origin
</span>so
(h,k,l)-------> (0,0,0)
for r=16 m
(x-h)²+(y-k)²+(z-l)²=r²--------> (x)²+(y)²+(z)²=16²
for z=9 m
(x)²+(y)²+(9)²=16²--------> (x)²+(y)²=256-81--------> (x)²+(y)²=175
the radius of the circle is r=√175 m
so the area of the circle A=pi*r²-----> A=pi*175-----> A=549.5 m²
the answer is the area of the circle is 549.5 m²