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DochEvi [55]
3 years ago
10

A carpenter is making a wooden window frame that has a width of 1 inch. How much wood does the carpenter need to build the frame

? 5.5 + 106 square inches 5.5 + 116 square inches 5.5 + 153 square inches 5.5 + 162 square inches
Mathematics
1 answer:
romanna [79]3 years ago
5 0

Diagram attached

Answer:

5.5+106 square inches

Step-by-step explanation:

The wooden frame has different shapes- semi circle, rectangles  and we would have to calculate area of all the shapes to get the wood required.

To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =

π(6²-5²)/2= 11π/2

=5.5π square inches

We add area of the semi circle to area of the 3 rectangles from the diagram:

2×1×48×10×1=106 square inches

The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area

Total area =5.5π +106 square inches

Options must have ommitted the "π"

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I am driving from oakland california to erlanger kentucky. The distance is 2,364.6 miles. My gas tank gets 25 miles per gallon o
solong [7]

Answer:$1655.22

Step-by-step explanation:

The total distance from Oakland California to Erlanger Kentucky is 2,364.6 miles. The gas tank gets 25 miles per gallon on the highway. It means that total number of gallons required to cover the distance from Oakland California to Erlanger Kentucky would be

2364.6/25 = 472.92 gallons

If the gas cost $3.50 per gallon, it means that the total amount that it will cost to drive from Oakland California to Erlanger Kentucky would be

472.92 × 3.5 = $1655.22

5 0
3 years ago
Reuben bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He p
cupoosta [38]
Same case as Pablo's, more or less.

a = price for the desktop

b = price for the laptop

we know the laptop is 150 bucks more than the desktop,  b = a + 150.

how much is 7% of a?  (7/100) * a, 0.07a.

how much is 9.5% of b?  (9.5/100) * b, 0.095b.

total interests for the financing add up to 303, 0.07a + 0.095b = 303.

\bf \begin{cases}
\boxed{b}=a+150\\
0.07a+0.095b=303\\
----------\\
0.07a+0.095\left(\boxed{a+150}  \right)=303
\end{cases}
\\\\\\
0.07a+0.095a+14.25=303\implies 0.165a=288.75
\\\\\\
a=\cfrac{288.75}{0.165}\implies a=1750

how much was it for the laptop?  well b = a + 150.
8 0
3 years ago
Plz help me find the measure of each angle indicated. then state the type of angle pair
Makovka662 [10]
19. 60* - a straight line is 180* - the other side which is 120* (supplementary)
20. 132* - the angle below is the same as the other side of this angle, 180* - 48* (same side interior angles)
21. 48* - these are the same angle just in different placements (corresponding angles)
22. 70* - same angles just different placement (alternate interior angles)
23. 85* - these are vertical angles so they’re the same
24. 114* - same angle just different placement (alternate exterior angles)
5 0
2 years ago
Write and solve a system of equations that represents each situation. Interpret the solution. 
ValentinkaMS [17]
X - $5 bills
y - $10 bills

x + y = 12
y = 5x

x + (5x) = 12
6x = 12
x = 2

y = 5(2)
y = 10

10 $10 bills and 2 $5 bills
6 0
3 years ago
Read 2 more answers
Erin is buying cupcakes for her birthday party. Each cupcake costs $1.50. How many guests can she invite if her budget is $80 an
GuDViN [60]

Answer:

About 21 People Can Go To Erin’s Party.

Step-by-step explanation:

Equation:

(80-16)= 1.5x*2

How To Solve It:

step 1: (80-16)= 1.5x*2

step 2: 64 =1.5x*2

step 3: 64=3x

step 4: 64/3=3x/3

Answer: About 21 People Can Go To Erin’s Party.

3 0
3 years ago
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