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monitta
3 years ago
10

Mylen is placing a fence around a circular garden with a 20-foot diameter. How many feet of fencing will Mylen need to buy to en

close the garden? Use 3.14 for pi. Round the answer to the nearest foot.
a 314 ft

b 63 ft

c 1256 ft

d 31 ft

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
8 0
62.8 or 63 if you round up ig
Charra [1.4K]3 years ago
4 0

Answer:

63ft

Step-by-step explanation:

Circumference (C) = 2pi x r

radius (r) = diameter/2

r = 10ft

C = 2(3.14)(10)

C = 62.8ft or 63ft

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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0
3 years ago
A bus travels one and one half miles to a bus stop 4 times. How many miles in all has the bus traveled?
hoa [83]
First you have your two numbers: 1.5 and 4.
The question explains that they travel 1.5 miles 4 times each, meaning you multiply the two.
1.5×4=6

So, your answer is 6 miles.

Hope this helps!
6 0
2 years ago
Read 2 more answers
Can you walk me through this problem i dont understand it AREA OF POLYGONS
Mamont248 [21]
The area of a paralellogram is bh

each dimention is multiplied by n
b turns to bn
h turns to hn

bh turns to (bn)(hn) or bnhn or bhn²

expression is bhnn or bhn² or bhn^2 (depends if the program will let you enter the exponent)
6 0
3 years ago
Help! Need by 10:30 to turn in and I'm confused!
Alecsey [184]

Answer:

8 boxes of tissues

5 bags of cough drops

Step-by-step explanation:

You need to write a system of equations.

x = number of tissue boxes

y = number of cough drop bags

x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.

So, your first equation is

x + y = 13

Then, you need to write the second equation.

(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]

That's a lot to read, so here's the equation simplified!

1.69x + 1.19y = 19.47

Now, you have two equations:

x + y = 13

1.69x + 1.19y = 19.47

I would solve with the substitution method.

the first equation can be changed to x = 13 - y by subtracting y from both sides.

Then, your two equations are:

x = 13 - y

1.69x + 1.19y = 19.47

Now, you can plug in that value of x into the second equation!

1.69(13 - y) + 1.19y = 19.47

21.97 - 1.69y + 1.19y = 19.47

subtract 21.97 from both sides

-1.69y + 1.19y = -2.5

Add the y values

-0.5y = -2.5

divide both sides by -0.5

so, y equals 5 bags of cough drops

now that you know what y equals, plug it back into your original equation to find x!

x + y = 13

plug in y

x + 5 = 13

x = 8

so, x = 8 boxes of tissues

Hope this helps! Let me know if you have any questions!

8 0
3 years ago
Given f(x)=e^-x^3 find the vertical and horizontal asymptotes
Aleonysh [2.5K]

Given:

f\mleft(x\mright)=e^{-x^3}

To find the vertical and horizontal asymptotes:

The line x=L is a vertical asymptote of the function f(x) if the limit of the function at this point is infinite.

But, here there is no such point.

Thus, the function f(x) doesn't have a vertical asymptote.

The line y=L is a vertical asymptote of the function f(x) if the limit of the function (either left or right side) at this point is finite.

\begin{gathered} y=\lim _{x\rightarrow\infty}e^{-x^3} \\ =e^{-\infty} \\ y=0 \\ y=\lim _{x\rightarrow-\infty}e^{-x^3} \\ y=e^{\infty} \\ =\infty \end{gathered}

Thus, y = 0 is the horizontal asymptote for the given function.

5 0
1 year ago
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