Answer:
2.42 feet
Step-by-step explanation:
the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588
Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference
We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius
We divide 2 from both sides of the equation (3.14)(radius) = 3.794
We divide pi from both sides (radius) = 1.208
Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius
1.208 * 2 = 2.416 or 2.42 rounded up
Final answer = 2.42 feet
Answer:
R = ![\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%26-2%5C%5C1%26-3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
P - Q + R = I ( I is the identity matrix )
![\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%264%5C%5C3%265%5C%5C%5Cend%7Barray%7D%5Cright%5D)
- ![\left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%262%5C%5C4%261%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ R = ![\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5C%5C%5Cend%7Barray%7D%5Cright%5D)
( subtract corresponding elements )
![\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2-%28-2%29%264-2%5C%5C3-4%265-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ R =
![\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%5C%5C-1%264%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ R =
R = - =
Answer: The answers are in the photo.
Step-by-step explanation:
Hope this helps
Answer:
First, break the shape into smaller shapes.
Bigger rectangle: 5m, 8m
Thin rectangle: 7m, 3m
Thinner rectangle: 8m, 2m
We will call the bigger rectangle <u>B</u>, the thin rectangle <u>R</u>, and the thinner rectangle <u>r</u>.
Step-by-step explanation:
B = 8 • 5 = 40
R = 7 • 3 = 21
r = 2 • 8 = 16
Add the areas together:
40 + 21 + 16 = 77
Therefore, the area is <u>77 meters.</u>
Answer:
Step-by-step explanation:
5-x< 13
-5 -5
-x< 8
