A leg of a right triangle can never be greater then the hypotenuse
this formula will tell you if it's a valid right triangle
the first two question marks are the legs of the triangle while the one after the = is the hypotenuse.
THE STEPS:
ANSWER:
4x - 3y = -11
-7x - 8y = 6
We need to cancel out one of the variables so let's multiply the first equation by 8 and the second by 3 and aim to cancel y.
32x - 24y = -88
-21x - 24y = 18
Now we subtract,
53x = -106
x = -2
3y = 4x + 11 = 4(-2) + 11 = 3
y = 1
Answer: (x,y)=(-2,1)
Check:
4(-2) -3(1) = -8 - 3 = -11, good
-7(-2) - 8(1) = 14 - 8 = 6, good
The volume of the prism shaped fish tank is: 408 in.³.
<h3>What is the Volume of a Prism?</h3>
Volume of prism = base area × height of prism.
The fish tank is a prism having a height of 8 inches. To find its volume, find the base area, which is the area of the composite figrue given.
Thus:
Base area = area of rectangle + area of triangle = (length × width) + (1/2(base × height).
Given:
- Length = 7 in.
- Width = 6 in.
- Base = 6 - 3 = 3 in.
- Height = 13 - 7 = 6 in.
Therefore:
Base area = (7 × 6) + 1/2(3 × 6)
Base area = 51 in.²
Volume of the prism shaped fish tank = 51 × 8 = 408 in.³.
Learn more about volume of prism on:
brainly.com/question/4192447
Answer:
104 cm
Step-by-step explanation:
6x4=24 (bottom square)
8x4x0.5x2 (the 2 triangles with 4 as the base)
8x6x0.5x2 (the 2 triangles with 6 as the base)