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Alex_Xolod [135]
2 years ago
9

There were three parts to Rita's race. She ran the first part, which was 4/9

Mathematics
1 answer:
Igoryamba2 years ago
5 0

The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.

<h3>Speed</h3>

let

  • distance covered in first Part = d1
  • distance covered in second Part = d2
  • distance covered in third Part = d3
  • speed covered in first Part = s1
  • speed covered in second Part = s2
  • speed covered in third Part = s3

Distance in second Part:

d₃ = 15 x 300

= 4500 m

d₂ = 2/5 × d₃

= 2/5 x 4500

d₂ = 1800 meters

Speed in second part:

S₂ = 1800 m / 12 min

S₂ = 150 meters per minute

Learn more about distance:

brainly.com/question/4931057

#SPJ1

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Find the perimeter and area of this figure
Sonja [21]

Answer:

A = (16π -32) in²

P = (4π +8√2) in

Step-by-step explanation:

The area is that of a quarter-circle of radius 8 inches less half the area of a square with side length 8 inches. Two formulas are useful:

area of a circle = πr² . . . . .r = radius

area of a square = s² . . . . s = side length

Then your area is ...

A = (1/4)π(8 in)² - (1/2)(8 in)² = (64 in²)(π/4 -1/2)

A = (16π -32) in²

____

The applicable formulas for the side lengths of your figure are ...

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_____

Of course, you are very familiar with the fact that an isosceles right triangle with side lengths 1 has a hypotenuse of length √(1²+1²) = √2. Scaling the triangle by a factor of 8 inches means the segment AB will be 8√2 inches long.

8 0
3 years ago
1) Andy’s father is 25 years older than him and his sister’s age is twice the age of Andy. If the total of their ages is 53 year
rodikova [14]

Answer:

Andy is 7 and Andy's father is 32

Step-by-step explanation:

I used the guess and check method, starting from Andy being 5.

If Andy was 5, his dad would be 30, and his sister would be 10. 5+30+10=45

Too low

If Andy was 6, his dad would be 31, and his sister would be 12. 6+31+12= 49

Too low again

If Andy was 7, his dad would be 32, and his sister would be 14. 7+32+14=53

Andy is 7 and his Father is 32

Another method you could use is to make an equation and solve.

A = Andy

S= Sister

F= Father

S=2A (Andy's sister is twice the age of Andy)

F=A+25 (Andy's father is 25 years older then Andy)

A+S+F=53 (The total of their ages is 53 years)

Substitute your variables

A+(2A)+(A+25)=53

Subtract 25 from both sides

A+(2A)+(A+25)=53

                 -25 -25

A+(2A)+(A)=28

Add up your variables

A+(2A)+(A)=28

4A=28

Divide to find A

4A=28

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Now solve for the Fathers age

F=A+25

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If 83 were not a prime number, this wouldn't work, and I would have said
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Examples:

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