<span>3rd angle of a triangle = 180 -(44 + 72) = 180 - 116 = 64
answer
</span><span>3rd angle of a triangle = 64 degrees</span>
Answer:
3x = -18 (x = -6)
18x = 108 (x = 11)
5x = 90 (x = 18)
Step-by-step explanation:
Answer:
The length of rectangular is increasing at a rate 0.5714 meters per hour.
Step-by-step explanation:
We are given the following in the question:
Initial dimensions of rectangular box:
Length,l = 10 m
Width,w = 7 m
We have to find the rate of increase of length.
Area of rectangle =
Differentiating we get,
Putting values, we get,
Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.
Answer:
A
Step-by-step explanation:
3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.
Laura wants to find how much flour she needs to make 12 rolls.
Here's the setup:
Let x be the number of cups of flour needed. Then,
(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)
This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.
It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.
This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.
Answer:
(B) 0.74 + or - 2.797 × 0.22/√25
Step-by-step explanation:
Confidence Interval = mean + or - t × sd/√n
mean = 0.74 hours
sd = 0.22 hours
n = 25
degree of freedom = n - 1 = 25 - 1 = 24
Confidence level = 99%
t-value corresponding to 24 degrees of freedom and 99% confidence level is 2.797
Confidence Interval = 0.74 + or - 2.797 × 0.22/√25
