Answer: 7,044.6
Step-by-step explanation:
35223/5 = 7,044.6
Assume that the notation (a,r,s,t) means multiply q and r, then add the product to s and (2,6,4,8)+(4,7,2,6)? Please show work a
Mama L [17]
<h3>
Answer: 7.0 (choice E)</h3>
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Work Shown:
![\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (2,6,4,8) = \frac{2*6 + 4}{8}\\\\\perp (2,6,4,8) = \frac{12 + 4}{8}\\\\\perp (2,6,4,8) = \frac{16}{8}\\\\\perp (2,6,4,8) = 2\\\\](https://tex.z-dn.net/?f=%5Cperp%20%28q%2Cr%2Cs%2Ct%29%20%3D%20%5Cfrac%7Bqr%20%2B%20s%7D%7Bt%7D%5C%5C%5C%5C%5Cperp%20%282%2C6%2C4%2C8%29%20%3D%20%5Cfrac%7B2%2A6%20%2B%204%7D%7B8%7D%5C%5C%5C%5C%5Cperp%20%282%2C6%2C4%2C8%29%20%3D%20%5Cfrac%7B12%20%2B%204%7D%7B8%7D%5C%5C%5C%5C%5Cperp%20%282%2C6%2C4%2C8%29%20%3D%20%5Cfrac%7B16%7D%7B8%7D%5C%5C%5C%5C%5Cperp%20%282%2C6%2C4%2C8%29%20%3D%202%5C%5C%5C%5C)
Let m = 2 so we can use this result later.
![\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (4,7,2,6) = \frac{4*7 + 2}{6}\\\\\perp (4,7,2,6) = \frac{28 + 2}{6}\\\\\perp (4,7,2,6) = \frac{30}{6}\\\\\perp (4,7,2,6) = 5\\\\](https://tex.z-dn.net/?f=%5Cperp%20%28q%2Cr%2Cs%2Ct%29%20%3D%20%5Cfrac%7Bqr%20%2B%20s%7D%7Bt%7D%5C%5C%5C%5C%5Cperp%20%284%2C7%2C2%2C6%29%20%3D%20%5Cfrac%7B4%2A7%20%2B%202%7D%7B6%7D%5C%5C%5C%5C%5Cperp%20%284%2C7%2C2%2C6%29%20%3D%20%5Cfrac%7B28%20%2B%202%7D%7B6%7D%5C%5C%5C%5C%5Cperp%20%284%2C7%2C2%2C6%29%20%3D%20%5Cfrac%7B30%7D%7B6%7D%5C%5C%5C%5C%5Cperp%20%284%2C7%2C2%2C6%29%20%3D%205%5C%5C%5C%5C)
Let n = 5 so we can use this result later.
Add the two results.
m+n = 2 + 5 = 7.0 is the final answer.
This is a linear function. Let diameter (inches) be x, circumference (inches) be y, observe that the value of y/x is always 3.14. For example, 15.7/5=31.4/10=...=3.14. Therefore, this is not only a function (one to one correspondence from x to y), it's also a linear function that can be represented as y=3.14x.
Answer:
18 stars
Step-by-step explanation:
We can use a ratio to solve
9 stars x
--------- = -----------
2 hearts 4 hearts
Using cross products
9*4 = 2x
36 = 2x
Divide by 2
36/2 =2x/2
18 =x
18 stars
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>