Answer:
Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.
The formula is: a^2 + b^2 = c^2
a and b are sides
c is the hypothesis
<u>Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem. </u>
A leg is another way of saying a side.
5^2 + 7^2 = c^2
25 + 49 = x^2
sqrt(74) = sqrt(x^2)
sqrt(74) inches = hypothesis
<u>Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem. </u>
9^2 + b^2 = 25^2
81 + b^2 - 81 = 625 - 81
sqrt(b^2) = sqrt(544)
b = sqrt(554)
Do you understand more?
Answer:
C.
Step-by-step explanation:
I think that's right.
The correct conclusion from the table shows <u>C. The more</u> he chooses to pay off each month, the less total interest he will pay.
<h3>How is interest determined?</h3>
The interest amount is calculated based on the outstanding balance.
When a cardholder makes more monthly payments, the interest amount reduces because of the reduction in the outstanding balance.
<h3>Data and Calculations: </h3>
Number of Months Monthly Payments Total Interest Paid
to Pay Off 21
$150
21 $314.68
$250
12 $184.41
$500
6 $95.84
Thus, the correct conclusion from the table shows <u>C. The more</u> he chooses to pay off each month, the less total interest he will pay.
Learn more about interest calculations at brainly.com/question/25545513
Answer:
Angles in a triangles add up to 180°
Respectively 1 : 2 : 3 is going to be 1 x , 2 x and 3 x so,
1 x + 2 x + 3 x = 180°
⇒ Simplify
6 x = 180°
⇒ Divide by 6 on both sides to isolate x
x = 30°
Since the ratio was 1 x : 2 x : 3 x and x is 30°,
30 : 60 : 90
And since there is a 90° angle, it is a right - angled triangle
Answer: 186
<u>Step-by-step explanation:</u>
<u> Jazz </u> <u>Rock or Pop </u>
7-12: 200 - 142 = 58 142
13-18: 72 - 58 = 14 200 - 14 = 186
It is given that 142 out of 200 students in age group 7-12 like Rock or Pop.
Therefore, 200-142 = 58 in that age group like Jazz.
Total Jazz in both age groups is 72, so 72 - 58 (7-12: Jazz) = 14 students in age group 13-18 like Jazz.
There are 400 students total and 200 are in age group 7-12, which leaves 400-200 students in age group 13-18. 200 - 14 (13-18: Jazz) = 186 students in age group 13-18 like Rock or Pop.