If Parker wants to run 10 miles, he will have to run 28 more laps.
The track is 1/4 of a mile, meaning 4 laps around the track will equal 1 total mile. If he wants to run 10 miles, with 4 laps equaling 1 mile, then it would take 40 (10•4) laps in all. He has already ran 12 miles, so next we take 12 away from 40 (40-12), which equals 28.
Hope this helps.
<h3><u>Answer</u>:- </h3>
![\longrightarrow \sf \$ \: 307.2](https://tex.z-dn.net/?f=%5Clongrightarrow%20%5Csf%20%5C%24%20%5C%3A%20307.2)
<h3><u>Solution:-</u></h3>
Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-
![\green{ \underline { \boxed{ \sf{Surface \: area \:of \:Cube = 6a^2}}}}](https://tex.z-dn.net/?f=%5Cgreen%7B%20%5Cunderline%20%7B%20%5Cboxed%7B%20%5Csf%7BSurface%20%5C%3A%20area%20%20%5C%3Aof%20%20%5C%3ACube%20%3D%206a%5E2%7D%7D%7D%7D)
- <u>where a is side of the cube </u>
![\begin{gathered}\\\quad \sf Surface \: area \:of \:Cube = 6\times(3.2)^2 \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%20%5Csf%20Surface%20%5C%3A%20area%20%20%5C%3Aof%20%20%5C%3ACube%20%3D%206%5Ctimes%283.2%29%5E2%20%20%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered}\\\implies \quad \sf 6\times 3.2\times3.2 \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cimplies%20%5Cquad%20%5Csf%20%206%5Ctimes%203.2%5Ctimes3.2%20%20%20%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered}\\\implies \quad \sf 61.44 cm^2 \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cimplies%20%5Cquad%20%5Csf%20%2061.44%20cm%5E2%20%20%5C%5C%5Cend%7Bgathered%7D%20)
Now,
![\maltese \sf Cost \:of \:painting \: 1 \: cm² = \$ 5](https://tex.z-dn.net/?f=%5Cmaltese%20%5Csf%20Cost%20%20%5C%3Aof%20%20%5C%3Apainting%20%5C%3A%201%20%5C%3A%20cm%C2%B2%20%3D%20%5C%24%205)
![\sf Cost \: of \: painting \: 61.44 \:cm²=61.44×5](https://tex.z-dn.net/?f=%20%5Csf%20Cost%20%5C%3A%20of%20%5C%3A%20painting%20%5C%3A%2061.44%20%20%5C%3Acm%C2%B2%3D61.44%C3%975)
![\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2](https://tex.z-dn.net/?f=%5Csf%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%3D%5C%24%20307.2)
Thus it would cost $ 307.2 to paint the entire cubical block.
Answer:
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Step-by-step explanation:
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Answer:
∠D = 76.8°
Step-by-step explanation:
Given that
∠A = 52x +16
∠B = 72x +20
∠C = 32x + 68
∠D = 32x + 40
We will assume that x represents the same value in all cases
Given that we are working with a quadrilateral, we know that all interior angles must equate to 360°.
To solve for x then, we will combine all angle measurements and equate them to 360°.
360 = 52x + 16 + 72x + 20 + 32x + 68 + 32x +40 Combine like terms
360 = 188x + 144 take 144 away from both sides
216 = 188x divide both sides by 188 to isolate x
1.15 = x
Using the equation for ∠D, we will plug 1.15 in for x
∠D = 32(1.15) + 40
∠D = 36.8 + 40
∠D = 76.8°
Answer:
The vertex is at (h, k), which here is (1, -16).
Step-by-step explanation:
Compare the given y = (x - 1)2 - 16 (which should be y = (x - 1)^2 - 16 )
to y = (x - h)^2 - 16.
We can readily see that h = 1 and k = -16.
The vertex is at (h, k), which here is (1, -16).