Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
- distance across the pond: x yd
- distance walked by Sandy: 5 yd
- distance walked by Garret: x-1 yd
A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Multiplying by the function of -1
Answer: z = 264
Step-by-step explanation:
x to z = 16 to 176
x = 24 to ?
16/176 = 24/z
cross-multiply solve for z
z = 264
The length and width of the rectangle is 11 in and 8 in respectively.
Step-by-step explanation:
Given,
The width of a rectangle is 3 in less than the length.
The area of each congruent right angle triangle = 44 in²
To find the length and width of the rectangle.
Formula
The area of a triangle with b base and h as height =
bh
Now,
Let, the width = x and the length = x+3.
Here, for the triangle, width will be its base and length will be its height.
According to the problem,
×(x+3)×x = 44
or, ![x^{2} +3x = 88](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B3x%20%3D%2088)
or,![x^{2} +3x-88 = 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B3x-88%20%3D%200)
or,
+(11-8)x-88 = 0
or,
+11x-8x-88 =0
or, x(x+11)-8(x+11) = 0
or, (x+11)(x-8) = 0
So, x = 8 ( x≠-11, the length or width could no be negative)
Hence,
Width = 8 in and length = 8+3 = 11 in
Answer:
Step-by-step explanation:
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