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Lynna [10]
2 years ago
4

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro

und your answer to the nearest tenth. 0.4 radian 1.0 radian 2.7 radians 5.0 radians
Mathematics
2 answers:
AnnyKZ [126]2 years ago
6 0
The ratio of the measure of the arc length and the circumference is proportional to the measure of the intercepted angle and one whole revolution. If we let x be the measure of the intercepted angle in degrees, the equation will become,

                                        x/360 = 8 in/(2π(3 in))

The value of x from the equation when π = 22/7 is 152.72°.

To convert this value to radians, we use the dimensional analysis as shown below,
                                  in radians = (152.72°)(2π/360°)
                                  in radians = 2.7 radians

Thus, the answer is third choice. 
snow_lady [41]2 years ago
4 0

Answer:

2.7 radians

Step-by-step explanation:

you must convert it + i got it right

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7. Certain car manufacturers install a gauge that tells the driver how many miles they can drive
nalin [4]

Answer:

A) Slope - 1.1889. The Predicted distance the drivers were able to drive increases by 1.1889

Step-by-step explanation:

5 0
2 years ago
Karen walked three miles in 48 mins. Bob walked one mile further than Karen. If it took Bob 1 hour and 5 min to complete his wal
nlexa [21]

Answer:

Karen

Step-by-step explanation:

Karen because it took bob and extra minute to walk the last mile.

8 0
2 years ago
Read 2 more answers
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The cost of Haley’s cell phone bill ca
Svet_ta [14]
The domain is
{x | x >=0}
Or simply [0, infinity)
Since Haley can not use any negative minutes.

The range is
{y | y >=20}
Or simply [20, infinity)
This is because if Haley doesn't use any minutes, the price will stay at $20.
Let me know if you have any questions.
3 0
2 years ago
Read 2 more answers
Alvin and Bala has 26 stickers.Alvin had 8 more stickers thab Bala.How many stickers did Bala have?​
Brilliant_brown [7]
Bala had 9 stickers

You could set this up as a equation. Because there was a total of 26 you would for sure put =26. Next you are told Alvin has 8 MORE than Bali, therefore you would be adding the unknown value of Bala by 8. This could be represented as x+8=26. Now that you have x added to 8 you need to add another x to the equation to fully represent the problem since Alvin has 8 more stickers than Bala does. The new equation would become 2x+8=26.

You must now isolate x by first subtraction 8 from both sides which will leave you with 2x=18. Then you divide on both sides by 2 and will leave you with x=9
3 0
2 years ago
vegetable ghee is stored in the cylindrical vessel of internal radius 1.4m height 1.5m. if it is transferred into the rectangula
irina1246 [14]

Answer:

<em>5,598 cans are required to empty the vessel</em>

Step-by-step explanation:

The volume of a cylinder of radius r and height h is:

V = \pi r^2h

The volume of a box of dimensions X, Y, and Z is:

V=X.Y.Z

A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:

V_1 = \pi 1.4^2*1.5

V_1=9.236\ m^3

Converting to cubic cm:

V_1=9.236*1,000,000\ cm^3

V_1=9,236,282\ cm^3

The volume of each rectangular tin can is:

V_2=33*10*5=1,650\ cm^3

V_2=1,650\ cm^3

The number of cans required to empty the vessel is:

V_1/V_2=9,236,282/1,650 = 5,598

5,598 cans are required to empty the vessel

5 0
2 years ago
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