Answer:
y= 18
Step-by-step explanation:
5:8 and 20:32 would be a proportion.
Easy way to find this:
Set up the proportion as a fraction.
Use the cross product property. Multiply the diagonals and if the products of the diagonals are the same, then they are proportional.
The dot product of the two vectors will be given as follows:
v*w=(-7i+4j)*(-6i+5j)
=(-7*(-6))i+(4*5)j
=-42i+20j
Hence the answer is:
v*w=(-42i+20j)
Let the length of unknown side be x
So, hypotenuse = 2x + 1
By pythagorean theorem ie , a² = b² + c²
(2x + 1)² = x² + 15²
4x² + 1 + 4x = x² + 225
3x² + 4x -224
(3x +28)(x-8)
x = -9.33 , 8
Since, length can't be negative
x = 8
∴Unknown side length = 8 m
Length of hypotenuse = 2 x 8 + 1 = 17 m
Hope it helps now.
Answer:
The answer is <u>54.6</u>.
9.1(6)+8.7(7)=<u>54.6</u>+60.9
Step-by-step explanation:
Given:
9.1(6)+8.7(7)=_+60.9
Now, to solve it:
9.1(6)+8.7(7)=_+60.9
Let the _be x.
So, we remove parenthesis first that makes it multiply with the number next to it:


Now adding on L.H.S:

Subtracting on both sides by 60.9 we get:


Therefore, the answer is 54.6.