Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78
The least amount of money that should be budgeted to paint the monument is $1692.
<h3>Least amount of money that should be budgeted</h3>
First step
Using Pythagorean theorem to find the surface area
Since POR is a right triangle
Hence:
PO=20
BR=12
OR=12
PR=√20²+12²
PR=400+144
PR=544
Area of PBC=1/2×24×√544
Area of PBC=12√544
Lateral surface area=4×12√544
Lateral surface area=48√544
Lateral surface area=1119.54²ft
Second step
Since regular paint is 2 coats 200 sq. ft per gallon
Hence:
Number of gallons=1119.54×2/200
Number of gallons= 11.2 gallons
11.2×35= 392
1119.54/80=13 gallons
13×100 =1300
Last step
Least amount=392+1300
Least amount= $1692
Therefore the least amount of money that should be budgeted to paint the monument is $1692.
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Answer:
171
Step-by-step explanation:
9 * 19 is 171 dollars so that's what he'll owe
Okay.
620 would be rounded estimate to 600
&
107 would be rounded estimate to 100
Answer:
The height of the another cylinder 'h' = 7
Step-by-step explanation:
<u>Explanation</u>:-
<u>Step 1:-</u>
Surface area of the cylinder = 2пrh + 2пr^2
Given radius of first cylinder is 20cm
given height of the first cylinder is 2 cm
The surface area of first cylinder is = 2пrh + 2пr^2
= 2п(20)(2)+2п(2)^2
= 4п(20+2)
The surface area of first cylinder is 88п
<u>Step 2</u>:
given data The surface area of first cylinder is 88п is same as second cylinder also
<u>Find the height of the second cylinder</u>
Given Radius of the second cylinder r = 4
Surface area of the cylinder = 2пrh + 2пr^2 = 88п
2п(4)h+2п(4)^2 =88п
on simplification we get
2п (4h+16) = 88п
after cancellation '2п' value and on simplification, we get
4h+16 = 44
4h = 44-16
4h = 28
h=7
Therefore the height of the another cylinder is 'h' =7
