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Mice21 [21]
3 years ago
14

5/8 62.5/100 as a ratio (simplified)

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer:

5:8, 25:1

Step-by-step explanation:

i guess this is ans

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How many places do you need to move the decimal to the left to write the
Vlad [161]

Answer:

9

Step-by-step explanation:

the decimal always goes between the numbers that arent 0s

4 0
2 years ago
The area of the shaded segment is 100cm^2. Calculate the value of r.
Reil [10]
Hello, 

The formula for finding the area of a circular region is: A=  \frac{ \alpha *r^{2} }{2}

then:
A_{1} = \frac{80*r^{2} }{2}

With the two radius it is formed an isosceles triangle, so, we must obtain its area, but first we obtain the height and the base.

cos(40)= \frac{h}{r}  \\  \\ h= r*cos(40)\\ \\ \\ sen(40)= \frac{b}{r} \\ \\ b=r*sen(40)

Now we can find its area:
A_{2}=2* \frac{b*h}{2}  \\  \\ A_{2}= [r*sen(40)][r*cos(40)]\\  \\A_{2}= r^{2}*sen(40)*cos(40)

The subtraction of the two areas is 100cm^2, then:

A_{1}-A_{2}=100cm^{2} \\ (40*r^{2})-(r^{2}*sen(40)*cos(40) )=100cm^{2} \\ 39.51r^{2}=100cm^{2} \\ r^{2}=2.53cm^{2} \\ r=1.59cm

Answer: r= 1.59cm
7 0
2 years ago
Read 2 more answers
A livestock pen is built in the shape of a rectangle that is 2 times as long as it is wide. the perimeter is 42 feet. if the mat
Lorico [155]
Let width = x ft  then 
2x + 2(2x) = 42
6x = 42
x = 7 

so the width is 7 ft and length is 14 ft.

So the cost to build the pen =  14*1.25 + 14*1,25 + 7*2.50 + 7*2.50
=  70  answer
4 0
3 years ago
Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because t
k0ka [10]

Answer:

The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.

Step-by-step explanation:

In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:

time = distance/speed

First part:

t1 = 9/s

Second part:

t2 = 9/1.2s = 7.5/s

The expression for the whole course is the sum of each, so we have:

t = t1 + t2

t = 9/s + 7.5/s

t = (9 + 7.5)/s = (16.5)/s

7 0
3 years ago
Lance is a 60-kg runner who, on a good day, runs at a speed of 5 m/s. What is his kinetic energy when he runs at this speed?
Rom4ik [11]

Answer: 750 Joules.

Step-by-step explanation:

Use the equation: K = 1/2 x m x s^2

1/2 x 60 = 30.

30 x (5 x 5) 25 = 750

Lance's kinetic energy when he runs at this speed is 750 Joules.

5 0
3 years ago
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