Answer:
Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.
a. Compute the circumference of Track 1.
b. Compute the circumference of Track 2.
Step-by-step explanation:
Answer:
11.)4.79mi
12.)8cm
13.)10.6km
14.)5.93
15.)2yd
16.)5.41in
17)2y
18)2m
19)11.8yd
20)4.51km
Step-by-step explanation:
11.)15.8x2=31.6 31.6/6.6=4.79
12.)64/8=8
13.)26x2=54 54/4.9=10.6
14.)8.6x2=17.2 17.2/5.93
15.)2/1=2
16.)29.2/5.4=5.41
17)4/2=2
18)10/5=2
19)139.2/11.8=11.8
20)20.3/4.5=4.51
Answer:
-1 1/8
Step-by-step explanation:
-3/4 / -8/12
= -3/4 * -12/8
= -3*12 / -4*8
= -36/32
= -1 4/32
= -1 1/8
Since we have a cubic root, we're interested in factoring cubes inside the root, so that we can take them out. If we factor 648, we have
So, we have
![3x\sqrt[3]{648 x^4 y^8} = \sqrt[3]{3\times 6^3\cdot x^3\cdot x \cdot y^6\cdot y^2}=3x\cdot 6\cdot x\cdot y^2\sqrt[3]{3\cdot x\cdot y^2}](https://tex.z-dn.net/?f=3x%5Csqrt%5B3%5D%7B648%20x%5E4%20y%5E8%7D%20%3D%20%5Csqrt%5B3%5D%7B3%5Ctimes%206%5E3%5Ccdot%20x%5E3%5Ccdot%20x%20%5Ccdot%20y%5E6%5Ccdot%20y%5E2%7D%3D3x%5Ccdot%206%5Ccdot%20x%5Ccdot%20y%5E2%5Csqrt%5B3%5D%7B3%5Ccdot%20x%5Ccdot%20y%5E2%7D)
And the result simplifies to
![18x^2y^2\sqrt[3]{3xy^2}](https://tex.z-dn.net/?f=18x%5E2y%5E2%5Csqrt%5B3%5D%7B3xy%5E2%7D)
