Hello! I can help you with this! It asks for a ratio, so we have to solve it in that format. Although, there are different ways of solving it.
1. Okay. So a ratio for this would be 3/4 : 5/6. To divide fractions, we must keep the first fraction the same, change the division into a multiplication symbol, and flip the second fraction over. So it would look like this: 3/4 * 6/5. Multiply straight across (n*n/ d*d). When you do that, you get 18/20 or 9/10 in simplest form. The landscaper's rater is 9/10 acres per hour.
2. The ratio for this question is 9/4 : 1/2 For the next question, we repeat the steps for dividing fractions. Keep, Change, Flip. 9/4 * 2/1 is 18/4 or 4 1/2 in simplest form. Sally's running speed is 4 1/2 miles per hour.
3. Okay. Going back to question #1, the unit rate was 9/10 acres per hour. All we have to do now is multiply that number by 4. To multiply fractions, do it straight across. 9/10 * 4/1 is 36/10 or 3 3/5 in simplest form. A landscaper can mow 3 3/5 acres in 4 hours.
4. Then we repeat the steps done in question #3, and incorporate it in this problem. Going back to question #2, the unit rate was 4 1/2 miles per hour. All we have to do is multiply by 3. 9/2 * 3/1 is 27/2 or 13 1/2 in simplest form. Sally can run 13 1/2 miles in 3 hours.
Step-by-step explanation:
the option with the isoceles triangles can NOT be just of that proof, because nowhere is it defined or proven that there is or are isoceles triangles involved. even though the picture looks like it, but that does not mean anything for the formal proof.
actually, this proof is the same (and is also valid) for non-isoceles triangles.
Answer:
95% Confidence interval: (14.4537 ,15.1463)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 feet
Sample mean,
= 14.8 feet
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, σ = 0.65 feet
Degree of freedom = n - 1 = 15
95% Confidence interval:
Putting the values, we get,
is the required confidence interval for the true mean length of rods.
Answer:
Step-by-step explanation:
9) 9xt
10) r-10
Answer:
Length = 8 feet
Step-by-step explanation:
Perimeter = 2 x ( length + width )
20 = 2 x (length + 2)
10 = Length + 2
10 - 2 = Length
Therefore, Length = 8 feet