Answer:
$367.38 is the cost to stain the entire deck.
Step-by-step explanation:
Here is what you need to know beforehand:
<em>Diameter</em> is <u>a line</u> that goes <u>through a circle</u>. <em>Radius</em> is <u>a line </u>that goes from <u>the edge of the circle all the way to the center</u>/<u>a line </u>that goes <u>halfway through the circle</u>.
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<u>First, find the area of the circle. Here is the formula:</u>
Area = 3.14 (Pi) x r²
Since radius is half of the diameter (as explained above), you'll need to divide the diameter in half: 12m/2 = 6m
So the formula will look like this:
Area = 3.14 x 6²
<u>Then, you just do the math:</u>
Area = 3.14 x 6²
Area = 3.14 x 36
Area = 113.04
The goal of the problem is to find the amount of money Emma needs. <u>Finally, all you need to do is multiply the amount it cost to stain per square meter by the total area of the deck:</u>
Answer = 113.04 x 3.25
Answer = 367.38
$367.38 is the cost to stain the entire deck.
0.6p + 4.5 = 22.5
Subtract 4.5 from both sides, which will give you, 18.5.
Then, divide 0.6 from both sides.
Answer:
1. 
2. 
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000
2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one:
Answer:
car b
Step-by-step explanation:
car a = 170/4=42.5 mph
car b = 306/4=76.5 mph
Answer:
(a) 3 ft, 4 ft, 5 ft
Step-by-step explanation:
The triangle inequality requires the sum of the two short sides exceed the long side.
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a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible
b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle
c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle
d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)
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The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.
