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8090 [49]
3 years ago
13

Circle K has a diameter of 24 inches. Find the exact length of semicircle HJI. In your final answer, include all of your calcula

tions.
Mathematics
2 answers:
agasfer [191]3 years ago
6 0

Answer:

12 π inches

Step-by-step explanation:

1) Since semicircles = 180 degrees, semicircle HJI = 180 degrees.

2) Make a ratio: 180/360. Simplify it: 1/2.

3) Then do: 1/2 x π d  -->  1/2 x π 24. You should get: 12 π.

4) So, the exact length of semicircle HJI = 12 π inches.

(The reason you are supposed to leave it 12 π centimeters is because only if the question asks you to find the approximate length of the arc, then you can use 3.14 instead of π. But if the question asks you to find the exact length of the arc, you have to leave it as said above because you would still have to round the answer (if you multiply 12 by pi), which makes it an approximate answer, not an exact answer.)

pi (π) = 3.14159265359......................

Pi is an endless number.

Hope this helps!  :)

Svet_ta [14]3 years ago
4 0
A semicircle's perimeter is half the perimeter of the complete circle.

The perimeter of the complete circle is its circumference which is found by the equation: πD.

Then the equation of the perimeter of the semicircle is πD/2

In this case D = 24 in, then the perimeteir is π (24in/2) = 12π in ≈ 37.7 in

Answer: The exact length is 12π inches and the approximate length is 37.7 inches


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The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse
SashulF [63]
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>

x - y = 15

2x + 8 = 3y - 4

We can quickly get a temporary value for x by altering the original equation.

x - y = 15

<em><u>Add y to both sides.</u></em>

x = 15 + y

Now that we have a value of x, we can find the exact value of y.

2(15 + y) + 8 = 3y - 4

<em><u>Distributive property.</u></em>

30 + 2y + 8 = 3y - 4

<em><u>Combine like terms.</u></em>

38 + 2y = 3y - 4

<em><u>Subtract 2y from both sides.</u></em>

38 = y - 4

<em><u>Add 4 to both sides.</u></em>

y = 42

Now that we know the exact value of y, we can plug it back into the original equation.

x - 42 = 15

<em><u>Add 42 to both sides.</u></em>

x = 57

8 0
3 years ago
if 2 binders of the same size take up 3 inches on the shelf how much space will be needed for 28 of these binders?
Anna [14]

Answer:

84

Step-by-step explanation:

28x3=84

I hope i did that right

please give me Brainliest you dont have to tho

7 0
3 years ago
Levens and frank shared a pizza levens ate 1/2 and frank ate 1/6 how much more did levens eat than Frank?
bezimeni [28]

Answer:

the answer is 9

Step-by-step explanation:

3 0
3 years ago
5.   What is an equation for the line with slope and y-intercept 9?  (1 point)
Semenov [28]
6.) y - (-3) = (1 - (-3))/(3 - 1) (x - 1)
y + 3 = (1 + 3)/2 (x - 1)
y + 3 = 4/2 (x - 1)
y + 3 = 2(x - 1) = 2x - 2
y = 2x - 2 - 3 = 2x - 5
y = 2x - 5
4 0
3 years ago
Ardi and Lei are both travelling by train. Ardi's train travels 70 km in 35 minutes. Lei's train travels 585 km. It leaves at 9:
Leni [432]

Answer:

10 km/hr

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Ardi:

Total distance travelled = 70 km

Total time taken = 35 minutes = 35/60 hour

Average speed = Total distance travelled / Total time taken

= 70 km ÷ 35/60 hr

= 70 × 60/35

= 4,200/35

= 120 km/hr

Lei:

Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes

= 4.5 hours

Average speed = Total distance travelled / Total time taken

= 585 km / 4.5 hours

= 130 km/hr

Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train

= 130 km/hr - 120 km/hr

= 10 km/hr

3 0
3 years ago
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