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Makovka662 [10]
3 years ago
13

Sophia and Tyler are running around a 400-meter track. They start running from the speed of 4 m/s. How long will it take Sophia

to lap Tyler?
Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Answer:

100 minutes

Step-by-step explanation:

Given data

Total distaance= 400meters

Speed= 4m/s

We know that the expression for speed is

Speed= distance/time

substitute to find time

4= 400/time

time= 400/4

time= 100 minutes

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3 years ago
In the right triangle above, a = 99 and c= 124. Find the value of b, rounded to the nearest tenth.
Murljashka [212]

Answer:

B= -40

Step-by-step explanation:

So a right triangle has to = 180

So we write the given, which 124+99

we are trying to get 180 so lets subtract that by the equation, 180-124+99

180-(124+99)

12+99=223

180-223

=-43

But in your case it has to be rounded to the nearest tenth

So the answer is -40

8 0
2 years ago
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ______ units. The poi
nalin [4]
Circle formula
(x-h)^2+(y-k)^2=r^2 where (h,k) is the center
and r=radius

to find the radius
we are given one of the points and the center
distnace from them is the radius
distance formula
D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}
points (-3,2) and (1,5)
D=\sqrt{(1-(-3))^{2}+(5-2)^{2}}
D=\sqrt{(4)^{2}+(3)^{2}}
D=\sqrt{16+9}
D=\sqrt{25}
D=5

center is -3,2
r=5
input
(x-(-3))^2+(y-2)^2=5^2
(x+3)^2+(y-2)^2=25 is equation
radius =5
input -7 for x and solve for y
(-7+3)^2+(y-2)^2=25
(-4)^2+(y-2)^2=25
16+(y-2)^2=25
minus 16
(y-2)^2=9
sqqrt
y-2=+/-3
add 2
y=2+/-3
y=5 or -1

the point (-7,5) and (7,-1) lie on this circle



radius=5 units
the points (-7,5) and (-7,1) lie on this circle

3 0
3 years ago
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