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ozzi
3 years ago
15

Hurrry i have to passsss

Mathematics
1 answer:
icang [17]3 years ago
4 0
Area of the grass in the circular lawn is 1250 square feet
Step-by-step explanation:
Lawn is in the shape of circle having radius = 20 feet
Area of the circular lawn will be represented by the formula,
Area = πr² [ Here 'r' = Radius of the circular lawn]
= (3.14)(20)²
= 3.14 × 400
= 1250 square feet
Therefore, area of the grass in the circular lawn will be 1250 square feet
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A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
alekssr [168]

Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1

Set f'(x) equal to 8/7 and solve for x:

\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}

Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
2 years ago
What is the missing number in the sentence below?
Karolina [17]
The correct answer is A: 3. This is because...
3 * 4 = 12
12 * 5 = 60
Therefore, the answer is 60.
3 0
3 years ago
How would you find out what 1/11 is as a decimal using a calculator?
Elanso [62]

Answer:

a the first one

Step-by-step explanation:

1/11 means 1 divided by 11

5 0
3 years ago
Read 2 more answers
The distance by road from town A to town B is 257 km. What is 50% of that distance?
Marina86 [1]

Answer: 128.5km

Step-by-step explanation:

Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:

= 50% × 257km

= 50/100 × 257km

= 0.5 × 257km

= 128.5km

Therefore, 50% of the distance is 128.5km.

3 0
2 years ago
Find the nth term of the following sequence: 7, 13, 19, 25,
Natalija [7]
The answer of the next term is 31
8 0
2 years ago
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