Answer: OPTION D
Step-by-step explanation:
The formula for calculate the surface area of a rectangular prism is:

Where w is the width, h is the height and l is the length.
You can see in the figure attached that:
l=3.4ft
w=3ft
h=4.1ft
Therefore, when you substitute these values into the formula you obtain that the surface area is:
![SA_{rp}=2[(3ft*4.1ft)+(3.4ft*3ft)+(3.4ft*4.1ft)]=72.88ft^{2}](https://tex.z-dn.net/?f=SA_%7Brp%7D%3D2%5B%283ft%2A4.1ft%29%2B%283.4ft%2A3ft%29%2B%283.4ft%2A4.1ft%29%5D%3D72.88ft%5E%7B2%7D)
of right angle triangle! .
<u>Step-by-step explanation:</u>
Here we have , A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the length of the hypotenuse is 7.5 centimeters. We need to find:
A)
We have , One length as 32 cm and other as 25 cm , as

By Pythagoras Theorem ,
⇒ 
⇒ 
⇒ 
⇒ 
So ,
of right angle triangle! .
Answer:
512 student tickets.
Step-by-step explanation:
Let x be number of student tickets and y be number of adult tickets.
We have been given that at Friday's football game 1,294 tickets were sold. We can represent this information as:

We are also told that each student ticket costs $5.00, and each adult ticket costs $8.00 and 1,294 tickets were sold for a total amount of $8,816. We can represent this information as:
From equation (1) we will get,
Substituting this value in equation (2) we will get,






Therefore, 512 student tickets were purchased at Fridays football game.
Answer:
The working is done in the image attached.
Answer:
1a. 8
1b. AB & BC
1c. AC
2.
miles
3. NO
Step-by-step explanation:
1a. AC is your hypotenuse which is C² and BC is B², so we plug it in the equation.
A²+6²=10²
A²+36=100
A²=64
A=
A=8
1b. Legs are the two shorter sides, AB & BC, which are 6 & 8 respectively.
1c. The hypotenuse is the longest side AC
2. Make lines that make the graph for a triangle with a line. My graph is linked below. Then counts the points, AC=6, BC=4, then use the pythagorean therom.
6²+4²=X²
36+16=52
=X
3. 15²+17²=19²
514=361
not possible
so it is not a right triangle