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bazaltina [42]
3 years ago
12

A car owner decides to upgrade from tires with a diameter of 24.3 in to tires with a diameter of 26.1 in. If she doesn't update

the onboard
computer, how fast will she actually be traveling when the speedometer reads 65 mph?
Mathematics
1 answer:
BabaBlast [244]3 years ago
5 0

Answer:

80.speedometer of computer

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lenghts of the sides of a rectangular garden are in a ratio 1:2. Line connecting the centers of the adjacent sides of the garden
allsm [11]

Answer:

perimeter = 107.4 m

area =  640.82 m²

Step-by-step explanation:

The line connecting the the centers of the adjacent sides of the garden is 20 m long. The line is a diagonal that forms an hypotenuse sides of a triangle.

The length of side of the rectangle has a ratio of 1 : 2. This means one side has a length a meters and the other 2a meters.

Pythagoras theorem can be use to get a since a right angle is formed due to the diagonal.

(a/2)² + (2a/2)² = 20²

(a/2)² + (a)² = 20²

a²/4 + a² = 400

(a² + 4a²)/4 = 400

5a²/4 = 400

cross multiply

5a² = 1600

a² = 1600/5

a² = 320

square root both sides

a = √320

a = 17.88854382

a ≈ 17.90  

The required length is a = 17.90 m and the other side will be 17.90 × 2 = 35.80 m.

Area = length × breadth

area = 17.90 × 35.80 = 640.82 m²

perimeter = 2(l + b)

perimeter = 2(35.80 + 17.90)

perimeter = 2(53.7)

perimeter = 107.4 m

8 0
3 years ago
Solve the following system. (Use (x,y) format in a single answer space.)
SSSSS [86.1K]

Answer:

(3;4); (-3;-4); (3;-4); (-3;4)

Step-by-step explanation:

for more information see the attached picture.

5 0
3 years ago
Read 2 more answers
Amare wants to ride a Ferris wheel that sits four meters above and has a diameter of 50 meters. It takes 6 minutes to do three r
Veseljchak [2.6K]
To answer this question, we begin to transform the speed of revolutions per minute in radians per minute.
 They tell us that the speed of the wheel is 3 turns in 6 minutes.
 So:
 1 revolution = 2π
 (2π / 1 turn) * (3 turns / 6min) = 6π/ 6min = 1π / min.
 The wheel turns π or 180 ° in one minute.
 We already have the angular velocity w.
 We know that the lowest point of the wheel is 4 meters above the ground and that it returns to the same point every 2π
 Therefore, the function sought is periodic and must be equal to 4 for allvalues ​​of time k, where k is an even number 2, 4, 6, 8, .., k

 Then the function must have the form rsin(wt) where "t" is the elapsed time, "w" is the previously calculated angular velocity, and "r" is the radius of the wheel.
 The minimum value of the function must be 4 and the maximum value 54.
 Therefore, the function is:

  h (t) = 4 + 25 + 25sin (π×t + 3π / 2)
 Where 3π/ 2 is the phase angle, which indicates that the movement starts at the instant t = 0 at the lowest point of the wheel that equals 3π / 2.
 You can verify the answer in the following way:

 After 1 minute, the wheel should have rotated 180 ° or π. Therefore, the person must be at the highest point of the wheel and his height must be 54 m.
 When you replace t = 1 in the formula, you get h = 54m
 After 2 minutes, the wheel should have rotated 360 ° or 2π. Therefore, the person must be at the starting point and their height must be 4 m.
 By replacing t = 2 in the formula you will get h = 4m
 After 0.5 minutes, the wheel should have rotated 90 ° or π / 2. Therefore, the person must be in the right half of the wheel and his height must be 29 m.
 When replacing t = 0.5 in the formula you will get h = 29m
4 0
4 years ago
Can someone help me ???????
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

15/3= 5

Orrrr

15/-3=-5

5 0
3 years ago
3 is what percent of 75?
vovikov84 [41]

Answer:

4%

Step-by-step explanation:

First, we turn this into a fraction:

3/75 = 1/25 = 4%

So 3 is 4% of 75

8 0
3 years ago
Read 2 more answers
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