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aksik [14]
2 years ago
9

The minute hand on an analog clock is 8 inches long. how far does the tip of the minute hand travel in 16 minutes

Mathematics
1 answer:
Dahasolnce [82]2 years ago
5 0
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means 
1 minute is equal to --------> 6°
16 minutes----------> X
x=16*6-----> 96°

the length of a circumference=2*pi*r
for r=8 in

the length of a circumference=2*pi*8-----> 50.24 in

if 360° (full circle) has a length of----------------> 50.24 in
  96°---------------------------> x
x=96*50.24/360------> x=13.40 in

the answer is
13.40 in

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A

Step-by-step explanation:

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2 years ago
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Triangle A:B:C is 5:4:3​
Nitella [24]

Answer: the angles are: 30, 45, 75

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees.

the angles are in a ratio of 3:4:5.

if you allow the number of degrees in the first angles to be 3x, this means that the number of degrees in the second angle is equal to 4x and the number of degrees in the third angle is equal to 4x.

since the sum of the angles in a triangle is equal to 180 degrees, this means that:

3x + 4x + 5x = 180 degrees which means that 12x = 180.

divide both sides of this equation by 12 and you get x = 180 / 12 = 15 degrees.

this means that the 3x angles is equal to 45 degrees and the 4x angle is equal to 60 degrees and the 5x angle is equal to 75 degrees.

45 + 60 + 75 = 180 degrees so we're good there.

45 / 60 is equal to 3/4

60 / 75 is equal to 4/5

the angles are in the ratio of 3 to 4 to 5 which is as originally assumed, so we're good all around and that's your answer.

the angles are:

30, 45, 75

the ratio of 3:4:5 means that:

the first angle is in a ratio of 3/4 with the second angle.

the second angle is in a ratio of 4/5 with the third angle.

the first angle is in a ratio of 3/5 with the third angle.

the ratio of the first angle with the third angle is equal to 45/75.

simplify that by dividing both numerator and denominator by 15 and you get 3/5.

7 0
3 years ago
Please help<br> do step by step<br> I learn diff
Lesechka [4]
1.5 use a calculator
6 0
3 years ago
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A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars,
lesantik [10]

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = x

Let number of lower deck seats = y

Let number of upper deck seats = z

As per question statement:

x+y+z=10000 ...... (1)

Cost for box seat = $10

Cost for x box seats = 10x

Cost for lower deck seat = $8

Cost for y lower deck seats = 8y

Cost for lower deck seat = $5

Cost for z lower deck seats = 5z

As per question statement:

10x+8y+5z=70000 ..... (2)

z = 4x ..... (3)

Putting value of y in (1) and (2):

x+y+4x=10000\\\Rightarrow 5x+y=10000 ....... (4)

10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)

8 \times (4) - (5):

10x =10000

\Rightarrow x = 1000

By (3):

z = 4000

Now, by equation (1):

y = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

6 0
3 years ago
A plant is already 14.00 meters tall, and it will grow 8 centimeters every month. The plant's height, H(in meters), after x mont
djverab [1.8K]

Answer:

18 meters

Step-by-step explanation:

the function is already given to you so you can just plug 50 into x because x represents the # of months

H(x)=14+0.08(50)

H(x)=14+4

H(x)=18

So it's 18 meters tall

4 0
3 years ago
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