A (5, 4) and B( 5, -2) is 6 units
E(-2, -1) and F(-2, -5) is 4 units
G(3, -5) and H(6, -5) is 3 units
C(-4, 1) and D(1, 1) is 5 units
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
Answer:
$8.8 per hour
Step-by-step explanation:
Well, the equation is simple.
Time (hours) * Money (per hour) = Total
We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number
12.5 * money = 110
To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working
money = 110/12.5
money = 8.8$
You can also check it out to make sure it's correct.
If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out
8.8 * 12.5 =?
8.8 * 12.5 = 110, the same total amount so our solution must be correct.
Answer:
(2,-1)
y= -1
x= 2
Step-by-step explanation:
y= -2x+3
4x-3y=11
substitute the value of y into an equation
4x-3(-2x+3)=11
distribute by multiplying numbers in parenthesis by -3
4x+6x-9=11
add 4x to 6x
10x-9=11
add 9 from both sides
10x=20
divide both sides by 10
x=2
substitute the value of x into an equation
y= -2•2+3
multiply -2 to 2
y= -4+3
add -4 to 3 but 4 is negative, so subtract
y= -1
-----------
(2,-1)
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Answer:
x = - 5
Step-by-step explanation:
3x - 3 - 6x = 12
group like terms
3x - 6x - 3 = 12
add similar elements
- 3x - 3 = 12
add 3 to both sides
- 3x - 3 + 3 = 12 + 3
simplify
- 3x = 15
divide both sides by 3
- 3x / 5 = 15 / - 3
simplify
x = - 5
