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murzikaleks [220]
3 years ago
12

Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more t

han 23 inches.
What is the largest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch.
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0

Answer:

1,662  in²

=============================

Step-by-step explanation:

let the radius of the circular tabletop = r

The base can support a tabletop with a radius of at least 6 inches, but not more than 23 inches.

which mean r at least 6 in. and not more than 23 in.

∴ 6 ≤ r ≤ 23

Since the area of the circle = π * r²

So, the largest possible area of the tabletop will be for r = 23

So, the area = π * 23² = 1,661.9 in²

Round to the nearest whole square inch

So, The largest possible area of the tabletop is 1,662  in²

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Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo
elena55 [62]

Answer:

\displaystyle y-5=-\frac{10}{9}(x+6)

Or:

\displaystyle y+5=-\frac{10}{9}(x-3)

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

y-y_1=m(x-x_1)

Thus, first, we need to find the slope. We can use the slope formula:

\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

\displaystyle y-(5)=-\frac{10}{9}(x-(-6))

Or, fully simplified:

\displaystyle y-5=\frac{-10}{9}(x+6)

Using the other point, we will acquire:

\displaystyle y-(-5)=-\frac{10}{9}(x-(3))

Or, simplified:

\displaystyle y+5=-\frac{10}{9}(x-3)

8 0
3 years ago
What transformations occur on the absolute value function for -4f(x+2)-5?
Temka [501]
-4fx + -8f - 5


I’m pretty sure that’s correct, might be wrong double check with someone else
7 0
3 years ago
If George received $ 78.00 for his work at Weaver's Store, and he was paid $ 6.00 per hour, how many hours did he work?
mihalych1998 [28]
13 hours
78.00 ÷ 6.00 equals 13 hours
6×13 equals 78
3 0
3 years ago
Read 2 more answers
Please help solve the inequality.
gulaghasi [49]

Answer:

Are there two you're asking for?

#2: x ≥ 9

#3: x > -2

Step-by-step explanation:

#2 Work:

x - 13 ≥ -4

Step 1: Add 13 to both sides

x - 13 + 13 ≥ -4 + 13

Add -4 and 13 to get 9.

x ≥ 9

#3 Work:

x/2 > -1

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same

x/2 * 2 > -1 * 2

x > -2

5 0
2 years ago
Hurry please !!!!!!!
Ratling [72]

9514 1404 393

Answer:

  | 573 |

Step-by-step explanation:

The product of a 1×2 matrix and a 2×1 matrix will be a 1×1 matrix. The value of the only term will be the dot-product of the row of the first matrix and the column of the second matrix.

  P = | 17·27 +19·6 | = | 573 |

4 0
3 years ago
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