Hello!
First of all, we can subtract the stretching time. This gives us 20. If we divide by the four laps we get 5 minutes per lap.
Now, one lap is 400 meters (most tracks are), which is equal to 15,748.03 inches. This means it takes her five minutes to walk 15,748.03 inches. This is also equal to 300 seconds, so it takes her 300 minutes per 15,748.03 inches.
But if we round our big inches number to the nearest ten thousandth, we get 16,000, so in a simpler form her pace is 300/16,000. But we need to find in per second. Therefore we will divide by 300 to find how many inches she walks per second. This means she walks about 53.33 inches per second.
I hope this helps!
Answer:
x = 11, y = 17
Step-by-step explanation:
Note that
9x - 4 = 8x + 7 ( vertical angles )
Subtract 8x from both sides
x - 4 = 7 ( add 4 to both sides )
x = 11
and
7y - 34 = 5y ( vertical angles )
Subtract 5y from both sides )
2y - 34 = 0 ( add 34 to both sides )
2y = 34 ( divide both sides by 2 )
y = 17
Answer:
It means in the same plane
Since you haven't provided the data to answer the problem, I have my notes here that might guide you solve the problem on your own:
Now, consider a triangle that’s graphed in the coordinate plane. You can always use the distance formula, find the lengths of the three sides, and then apply Heron’s formula. But there’s an even better choice, based on the determinant of a matrix.
Here’s a formula to use, based on the counterclockwise entry of the coordinates of the vertices of the triangle
(x1<span>, </span>y1), (x2<span>, </span>y2), (x3<span>, </span>y3<span>) or (2, 1), (8, 9), (1, 8): </span>A<span> = </span>x1y2<span> + </span>x2y3<span> + </span>x3y1<span> – </span>x1y3<span> – </span>x2y1<span> – </span>x3y2<span>.</span>
<u>Given</u>:
The radius of the circle is 10 cm
The central angle of the circle is (360 - 90)° = 270°
We need to determine the area of the composite figure.
<u>Area of the composite figure:</u>
The area of the figure can be determined using the area of the sector formula.
Thus, we have;
![A=(\frac{\theta}{360}) \times \pi r^2](https://tex.z-dn.net/?f=A%3D%28%5Cfrac%7B%5Ctheta%7D%7B360%7D%29%20%5Ctimes%20%5Cpi%20r%5E2)
Substituting
and
in the above formula, we get;
![A=(\frac{270}{360}) \times (3.14) (10)^2](https://tex.z-dn.net/?f=A%3D%28%5Cfrac%7B270%7D%7B360%7D%29%20%5Ctimes%20%283.14%29%20%2810%29%5E2)
Simplifying, we get;
![A=(\frac{270}{360}) \times (314)](https://tex.z-dn.net/?f=A%3D%28%5Cfrac%7B270%7D%7B360%7D%29%20%5Ctimes%20%28314%29)
Multiplying, we get;
![A=\frac{84780}{360}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B84780%7D%7B360%7D)
Dividing the terms, we get;
![A=235.5 \ cm^2](https://tex.z-dn.net/?f=A%3D235.5%20%5C%20cm%5E2)
Thus, the area of the composite figure is 235.5 cm²
Hence, Option C is the correct answer.