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Hitman42 [59]
3 years ago
7

A circular dog bed has a

Mathematics
1 answer:
madreJ [45]3 years ago
3 0

Answer:

23 inches

Step-by-step explanation:

Circumference = 2πr

72 = 2×3.142×r

Divide through by 2 × 3.142

r = \frac{72}{2 * 3.142}

r = 11.458 inches

Diameter = 2r

Diameter = 2* 11.458 = 22.92

= 23 inches to the nearest inch

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A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate a
Rasek [7]

Answer:

The plane's distance from the radar station will increase about 8 miles per minute when it is 5 miles away from it.

Step-by-step explanation:

When the plane passes over the radar station, the current distance is the altitude h = 2. Then it moves b horizontally so that the distance to the station is 5. We can form a rectangle triangle using b, h and the hypotenuse 5. Therefore, b should satisfy

h²+b² = 5², since h = 2, h² = 4, as a result

b² = 25-4 = 21, thus

b = √21.

Since it moved √21 mi, then the time passed is √21/540 = 0.008466 hours, which is 0.51 minutes. Note that in 1 minute, the plane makes 540/60 = 9 miles.

The distance between the plane and the radar station after x minutes from the moment that the plane passes over it is given by the function

f(x) = \sqrt{((9x)^2 + 2^2)} = \sqrt{(81x^2+4)}

We have to compute the derivate of f in x = 0.51. The derivate of f is given by

f'(x) = \frac{162x}{2\sqrt{81x^2+4}}

also,

f'(0.51) = \frac{162*0.51}{2\sqrt{81*0.51^2+4}} = 8.2486

The plane's distance from the station will increase about 8 miles per minute.

4 0
3 years ago
Need help with math problem give 5 stars and a good rating
slavikrds [6]

Answer:

B,C,D

Step-by-step explanation:

24ft =288 in A IS FALSE

2 miles = 10560 ft B IS TRUE

1/2 miles = 2640 ft C IS TRUE

0.5 miles = 880 Yds D IS TRUE

0.5 ft = 6 in E IS FALSE

4 0
3 years ago
I will mark brainliest if ur answer is correct
sergeinik [125]

Answer:

43°

Step-by-step explanation:

80°-37°= 43°

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3 years ago
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The expression is (5x+1)
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