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kaheart [24]
3 years ago
12

Can you put a restriction on a horizontal line segment?

Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0
Yes you can put a restriction
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Sam ran 63,756 feet in 70 minutes. What is Sam’s rate in miles per hour?
MArishka [77]

Answer:

63756/70=910.8 ft per minute

The choice is in order so just make the lines straight

Please mark brainliest

6 0
3 years ago
A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula
Ilia_Sergeevich [38]

Answer: A. A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}

              B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

A=\pi.r^{2}

So to find the rate of the area:

\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}

\frac{dA}{dr} =2.\pi.r

Using r(t)=3-\frac{363}{(t+11)^{2}}

\frac{dr}{dt}=\frac{726}{(t+11)^{3}}

Then

\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]

\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}

Multipying and simplifying:

\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}

The rate at which the area is increasing is given by expression A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}.

B. At t = 5, rate is:

A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}

A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}

A'(5)=\frac{2408693760\pi}{4294967296}

A'(5)=1.76268

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0
2 years ago
A door is 8 feet tall and 4 feet wide. What is the area?
zysi [14]

Answer:

32

Step-by-step explanation:

a door is rectangular in shape

area = length × breadth

8 × 4

32

7 0
3 years ago
Read 2 more answers
Hat is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12
Elan Coil [88]

Step-by-step explanation:

4x + 8y = 40

4x + (8×0.8) = 40

4x + 6.4 = 40

4x = 33.6

4x÷4 = 33.6 ÷ 4

x = 8.4

6 0
3 years ago
Anyone know this and if do pls help
Margaret [11]

70% of the trip length, t, is 35 miles. Find t:

0.70t = 35. Dividing both sides by 0.70, we get:

35

t = ----------- = 50

0.70

The total trip length is 50 miles.

7 0
3 years ago
Read 2 more answers
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