By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.
<h3>How to find the missing side?</h3>
By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:
z² = x² + y²
Also, the sides of this right-angled triangle are:
- Opposite side = x inches.
- Adjacent side = 7 inches.
Substituting the given parameters into the formula, we have;
14² = x² + 7²
196 = x² + 49
x² = 196 - 49
x² = 147
x = √147
x = √49 × √3
x = 7√3 inches.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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The percentage by which the cost is increasing will be 75%.
<h3>What is the percentage?</h3>
The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The percentage of the 8th graders who want to go to the water slides is found from;
In the year 2000, a house was valued at $60 000.
In 2010, the same house was valued at $80 000.
The percentage value is found as;

Hence the percentage by which the cost is increasing will be 75%.
To learn more about percentages, refer to:
brainly.com/question/13450942
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Let m = the total number of medals.
To find the total number of medals we can use either of the clues they gave us.
If Tara's team received 8 medals and that was 1/3 of the medals. That must mean that:
m x 1/3 = 8
What number divided by 3 is 8? Well, that is 24. Thus, the total number of medals is 24.
Note: we can check to see if 1/2 of 24 is 12, the total number of medals Jennifer team received, and it checks out!
1. 27,129.6
2. 7,234.56
3. r=12
hope this helps sry if ther wrong pls don’t be mad if there right u r welcome
I don't think this is middle school...
(2^8 x 3^-5 x 6^0)^-2 x ((3^-2)/(2^3))^4 x (2^28)
(256 x (1/243))^-2 x ((1/9)/(8))^4 x 268435456
1.05349794239^-2 x (<span>0.01388888888)^4 x 268435456
</span><span>
0.90101623534 x </span><span>3.72108862e-8 x 268435456
</span>8.99999997623
9
9 is your answer.