Answer:
7.05 inches
Step-by-step explanation:
h=7.5+.59(5)-3.4
h=7.5+2.95-3.4
h=10.45-3.4
h=7.05
Answer:
Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
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Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
<u>Left Trapezoid</u>
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
<u>Middle Rectangle</u>
A = LW
A = (13 m)(11 m) = 143 m²
<u>Right Trapezoid</u>
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
<u>Wall Area</u>
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
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A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
All three are similar
In ∆SUT and ∆VWX
- Two sides are similar and one angle is similar
So by SSA they are similar
In ∆PRQ and rest two
All angles are.
So
They are similar by AAA congruence
Answer:
2(n-6)=12
(I went too far in my explanation; I'm not going to erase it because I think it is important to have an example on solving these)
Step-by-step explanation:
Twice the difference of a number and 6 is the same as 12.
Twice means 2 times
Difference means the result of subtracting something.
is the same as means equal to (=).
So we are given 2(n-6)=12.
You can start by dividing 2 on both sides are distributing 2 to terms in the ( ).
I will do it both ways and you can pick your favorite.
2(n-6)=12
Divide both sides by 2.
n-6 =6
Add 6 on both sides
n =12
OR!
2(n-6)=12
Distribute 2 to both terms in the ( )
2n-12=12
Add 12 on both sides
2n =24
Divide both sides by 2
n =12
