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SCORPION-xisa [38]
2 years ago
14

A sprinkler is designed to rotate 360∘ clockwise, and then 360∘ counterclockwise to water a circular region with a radius of 12

feet. the sprinkler is located in the middle of the circular region. the sprinkler begins malfunctioning and is only able to rotate 330∘ in each direction. find the area of the sector to the nearest square foot.
Mathematics
1 answer:
jasenka [17]2 years ago
8 0
The area of the sector can be obtained by multiplying the circle's area by the ratio of the angle and 360° (whereas the area of the sector is proportional to its angle, and 360°<span> is the angle for the whole circle):

</span>The area of the sector = πr²·Θ/360

=3.14 x 12² x 330 ÷ 360 ≈ 415 ft²
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It takes 45 minutes to drive to the nearest bowling alley taking city streets going
Savatey [412]

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

.

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

7 0
2 years ago
A tile mosaic in the shape of a right triangle is used as the corner for a rectangular pathway. The hypotenuse of the mosaic is
Anit [1.1K]

Answer:

The lengths of the sides are 2.2 ft and 4.5 ft

Step-by-step explanation:

Let

a -----> the length of one side of the mosaic

b ----> the length of the other side of the mosaic

c ----> the hypotenuse of the mosaic

we know that

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2} -----> equation A

we have

a=2b -----> equation B

c=5\ ft -----> equation C

substitute equation B and equation C in equation A and solve for b

5^{2}=(2b)^{2}+b^{2}

25=5b^{2}

b=\sqrt{5}=2.2\ ft

Find the value of a

a=2b ------> a=2\sqrt{5}=4.5\ ft

therefore

The lengths of the sides are 2.2 ft and 4.5 ft

6 0
2 years ago
When Val checks her cable bill, she is shocked by her movie-rental bill for the month. Renting movies costs $2.99 for each movie
astraxan [27]

Answer:

She should buy the monthly plan for the unlimited movies rather than pay $2.99 per movie. This is because, the more she pay that amount for each movie, the higher her expenses would become at the end of each month.

For example, let assume, in a month, she 8 free days (Saturday and Sunday). She paying for each movie each of those days would supersede the amount she could have spent assuming she did the unlimited monthly plan of $7.99.

That notwithstanding other days which will feel like watching movies or the public holidays which she would be free to relax.

Step-by-step explanation:

3 0
2 years ago
Carl lives in an apartment and pays the following expenses each month: electric bill, $34.60; TV streaming service, $24.99; and
Vesna [10]
$34.60 rounds to $35
$24.99 rounds to $25
$527.85 rounds to $528

Now add the rounded numbers together:
$35
$25
$528
————-
$588.00 (estimated monthly expenses)
8 0
2 years ago
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KATRIN_1 [288]
The +5 because that's the y value on the graph
8 0
2 years ago
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