Answer:
Since the legs of the right triangle measure x + 1 and x + 15, respectively, and since the hypotenuse measures x + 17, the Pythagorean Theorem can be used as follows: (x + 1)2 + (x + 15)2 = (x + 17)2. This equation becomes (x2 + 2x + 1) + (x2 + 30x + 225) = x2 + 34x + 289, which then becomes 2x2 + 32x + 226 = x2 + 34x + 289. When all the terms are moved to one side, the equation becomes x2 – 2x – 63 = 0, and when the left side of the equation is factored, it becomes (x – 9)(x + 7) = 0. At this point, it seems as if x can equal 9 or –7, but if x were –7, one of the legs would have a negative length, and this is impossible. For this reason x equals 9, and the legs of the triangle measure 10 and 24, respectively, while the hypotenuse measures 26. Since cosine is
length of adjacent leg
length of hypotenuse
, the cosine of angle C is
24
26
, or
12
13
.
Answer:
The measure of the length is 
Step-by-step explanation:
Let
x-----> the length of rectangle
y-----> the width of rectangle
we know that
The perimeter of rectangle is equal to


so

Simplify
-----> equation A
----> equation B
Substitute equation B in equation A and solve for y




Find the value of x

Answer:
Step-by-step explanation:
Ratio = 4/7 : 1/8

= 32 : 7

= 7 : 32
Ratio 4/7 over 1/8 is the multiplicative inverse of the ratio 1/8 over 4/7
Solution:
we are given that
Jack planted 1 1/4 rows of lettuce in the family garden.
Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of beans.
we have been asked to find -How many rows were planted in the garden?
To find this , we will add all the numbers of rows planted.
Hence number of rows planted

9514 1404 393
Answer:
(d) 12.3
Step-by-step explanation:
From the Law of Cosines, you can solve for c:
c = √(a² +b² -2ab·cos(C)) = √(22.09 +104.2441 -95.974cos(105.3°))
c ≈ √151.659 ≈ 12.31499
Side c is about 12.3 units long.