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ss7ja [257]
2 years ago
13

How do I complete this question on arc length?

Mathematics
2 answers:
tresset_1 [31]2 years ago
5 0

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

C=2\pi r                                               [set r = 1.5 m]

⇒ C=2\pi (1.5)

⇒ C=3\pi m

One revolution of the water wheel corresponds to 3\pi meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

15(3\pi ) = 45\pi m/min

Using this result, the speed of the river in kilometers per hour will be:

v=\frac{45\pi m }{1 min} ×  \frac{1 km}{1000 m} × \frac{60 min}{1 h}

⇒ v=8.48230016469  km/h

⇒ v ≈ 8.5 km/h

Nikolay [14]2 years ago
3 0

Answer:

≈ <em>8 km per hour</em>

Step-by-step explanation:

C = \pi d

C = \frac{66}{7}

Velocity = \frac{66}{7} × 15 = \frac{990}{7} ( meters per minute ) = \frac{0.99}{7} × 60 ≈ <em>8.5 km/h</em>

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A large-sample 95 percent confidence interval for the proportion of credit card customers that have reported fraudulent charges
Elden [556K]

Answer:

B.

Step-by-step explanation:

Point estimate is always at the center of the interval.

You can find it by averaging the endpoints:

p(hat) = (0.028 + 0.086)/2 = 0.057

8 0
3 years ago
What is the slope of the line with equation <br>-3x+6y=12
notka56 [123]

Note the slope intercept form: y = mx + b, in which m = slope

Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides

-3x (+3x) + 6y = (+3x) + 12

6y = 3x + 12

Fully isolate the y. Divide 6 from both sides (and to all terms)

(6y)/6 = (3x + 12)/6

y = (3x)/6 + (12)/6

Simplify

y = (1/2)x + 2

y = 0.5x + 2 is your equation.

The slope is direclty left of the x (or the m variable). In this case, it is 0.5

0.5 is your answer (or 1/2 if wanted in fraction form)

~

3 0
3 years ago
Read 2 more answers
A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 p
blsea [12.9K]

Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs =  $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width      .................1

area of living room = 24 × 15

area of living room = 360 feet²      ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet²    ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²  

total area = 529 feet²  

and

total cost of putting carpet in both rooms are = total area × carpet costs    .................4

put here value

total cost of putting carpet in both rooms  = 529  ×  $6.98

total cost of putting carpet in both rooms  =$3692.42

6 0
3 years ago
What is the range of possible values for x?
Talja [164]
The minimum value for 2x is 0 
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>

<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>

<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>

<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>

<span>sin 2x = 22 (sin 34°)/30 </span>

<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>

<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>

<span>0 < x < 12.1°</span>
7 0
3 years ago
vimesha drove 232 miles in 4 hours. at this rate, how far could she drive in 7 hours? what is her rate of speed in miles per hou
IrinaVladis [17]

Answer:  distance = 406 miles

speed = 58 miles/hr

Step-by-step explanation:

4 hours - 232 miles

1 hr - 232/4

7 hours - 232/ 4 x 7 = 406 miles

Therefore , her distance is 406 miles for 7 hours.

Speed = distance / time

speed = 406/7 = 58 miles/hr

8 0
3 years ago
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