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Elodia [21]
3 years ago
10

The button on Preston's jacket has a radius of 4 millimeters. What is the button's area?

Mathematics
1 answer:
11111nata11111 [884]3 years ago
6 0
The real answer to this question is 0.013 feet
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Find the slope of the line passing through the points (-9, 7) and (7, 7)
Lina20 [59]

Answer:

The slope is zero.

Step-by-step explanation:

8 0
3 years ago
For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?
Bond [772]
Given that r=\theta, then r'=1

The slope of a tangent line in the polar coordinate is given by:

m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}

Thus, we have:

m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}



Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

\sin\theta+\theta\cos\theta=0 \\  \\ \theta\cos\theta=-\sin\theta \\  \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

</span><span>θ = 0

</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488



Part B:

For vertical tangent lines, \frac{1}{m} =0

Thus, we have:

\cos\theta-\theta\sin\theta=0 \\  \\ \Rightarrow\theta\sin\theta=\cos\theta \\  \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta

</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:

</span>θ = <span>4.91718592528713</span>
3 0
3 years ago
A 180 ft long board is cut into 3 pieces. The second piece of
blagie [28]

Answer:

20 feet

Step-by-step explanation:

1st piece = x

2nd piece = 2x

3rd piece = 6x

x+2x+6x=180

9x=180

x=20

so the first piece is 20 feet, the second is 40, and the third is 120.

6 0
3 years ago
Read 2 more answers
A can holds 2 liters of paint.<br><br>then how many can we fill with 11 liters of paint​
pychu [463]

Answer:

5 and a half

Step-by-step explanation:

Because you can fit 2 liters in each can, to find how many you would need, divide 11 by 2, this would give you 5 and a half, 5.5.

It could be that they want you to round up to six or round down to five, so do consider that.

4 0
3 years ago
If Dr. Suzuki rides his bike to his​ office, he averages 9 miles per hour. If he drives his​ car, he averages 27 miles per hour.
Helen [10]
Speed
Riding speed = 9 mph
Driving speed = 27 mph

Time
If x hours is the time taken when riding, (x - 1/3) hours  is the time taken when driving.

Distance in both instances is the same, D= Speed * time

Therefore,
9*x = 27(x-1/3)
9x = 27x - 27/2
9x = 27x - 9
(9-27)x = -9
-18x = -9
x = 9/18 = 1/2 hours

Distance, D = 1/2 *9 = 4.5 miles
7 0
3 years ago
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