To find the miles Michael rode, we can simply add up the miles he rode for both day:
Therefore the answer is 4 1/2 miles.
Hope it helps!
<h3>
Answer:</h3>
47.10
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you that ...
... Cos = Adjacent/Hypotenuse
The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.
Filling in the given values, we have ...
... cos(42°) = 35/y
Multiplying by y/cos(42°), we can find y to be ...
... y = 35/cos(42°) ≈ 35/0.7431
... y ≈ 47.10
Volume of a cone = PI x r^2 x h/3
Volume = PI x 5^2 x 9/3
Volume = 235.62 cubic cm.
Volume of a block of wax = L x W x H
Volume = 2 x 4 x 3 = 24 cubic cm.
Total number of blocks = Volume of cone / volume of blocks:
235.62 / 24 = 9.82
Round up to 10.
They will need 10 blocks.
Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, <u>B. 10</u> is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of <u>all real numbers.</u>
