Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is 
times the length of each leg.
Proof:
Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, 
Since a=b in an isosceles triangle:
Therefore, the next step is to Determine the principal square root of both sides of the equation.
Answer: The average number of hours she danced per day is 1.9 hours (rounded to the nearest tenth)
Step-by-step explanation: We start by calculating how many hours she danced all together which can be derived as follows;
Summation = 3 +2 +2 + 1 + 1.5 + 2 = 11.5
The number of days she danced which is the observed data is 6 days (she did not dance at all on Wednesday).
The average (or mean) hours she danced each day can be calculated as
Average = ∑x ÷ x
Where ∑x is the summation of all data and x is number of observed data
Average = (3+2+2+1+1.5+2) ÷ 6
Average = 11.5 ÷ 6
Average = 1.9166
Approximately, average hours danced is 1.9 hours (to the nearest tenth)
Answer: In the beginning he was given 27 sweets.
Step-by-step explanation: The most logical thing to do is to solve it backwards, that is, from what he had at the end of the third day up till the beginning of the first day.
On the third day he ate one-third and had 8 sweets left over. To determine how many he started with on the third day, let the total on day three be called a. If one-third of a is eaten, then the left over which is two-thirds is 8. That is;
8/a = 2/3
By cross multiplication we now have
8 x 3 = 2a
24/2 = a
a = 12
Let the number of sweets he had on day two be called b. If he ate one-third of b and he had 12 left over, then the two-thirds left over is 12 and we now have;
12/b = 2/3
By cross multiplication we now have
12 x 3 = 2b
36 = 2b
36/2 = b
b = 18
Let the number of sweets he had on day one be called x. If he ate one-third of x and he had 18 left over, then the two-thirds left over is 18, and we now have;
18/x = 2/3
By cross multiplication we now have
18 x 3 = 2x
54 = 2x
x = 27
Therefore Tim was given 27 sweets at the beginning.
Answer:
Total amount pay after 3 week = $147.5
Step-by-step explanation:
Given:
Amount of loan taken = $125
Amount interest per $100 = $6 per week
Find:
Total amount pay after 3 week
Computation:
Amount of interest per week = 125[6/100]
Amount of interest per week = $7.5 per week
Amount of interest in three week = 3 x Amount of interest per week
Amount of interest in three week = 3 x 7.5
Amount of interest in three week = $22.5
Total amount pay after 3 week = Amount of loan taken + Amount of interest in three week
Total amount pay after 3 week = 125 + 22.5
Total amount pay after 3 week = $147.5
We are given that Grandma has 14 red roses and 7 pink roses.
In order to represent them on bar modal, we need to make a bar with 14 identical sections for 14 red roses.
And for pink roses, we need to make a bar with 7 identical sections for 7 pink roses.
<em>From the bar graph, we can see that bar for red roses have 7 more boxes than bar of pink roses.</em>
<h3>Therefore, she have 7 more red roses than pink roses.</h3>
