Given:
- The product of two numbers is (-9/16).
- One of the numbers is (-4/15)
To find: The other number.
Answer:
Let's assume the unknown number to be 'x'.
(-4/15) × x = (-9/16)
× = (-9/16) ÷ (-4/15)
When we divide a fraction by another fraction, the divisor will be taken in its reciprocal form.
x = (-9/16) × (-15/4)
x = 135/64
Therefore, the other number is 135/64.
Hope it helps. :)
Answer:
![\angle 4 = 115^{\circ}](https://tex.z-dn.net/?f=%5Cangle%204%20%3D%20115%5E%7B%5Ccirc%7D)
![\angle 3 = 65^{\circ}](https://tex.z-dn.net/?f=%5Cangle%203%20%3D%2065%5E%7B%5Ccirc%7D)
![\angle 7 = 65^{\circ}](https://tex.z-dn.net/?f=%5Cangle%207%20%3D%2065%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given
![\angle 2 = 65^{\circ}](https://tex.z-dn.net/?f=%5Cangle%202%20%3D%2065%5E%7B%5Ccirc%7D)
See attachment
Solving (a): ![\angle 4](https://tex.z-dn.net/?f=%5Cangle%204)
To solve for
, we make use of:
![\angle 2 +\angle 4 = 180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%202%20%2B%5Cangle%204%20%3D%20180%5E%7B%5Ccirc%7D)
The relationship between both angles is that they are complementary angles
Make
the subject
![\angle 4 = 180^{\circ} - \angle 2](https://tex.z-dn.net/?f=%5Cangle%204%20%3D%20180%5E%7B%5Ccirc%7D%20-%20%5Cangle%202)
Substitute
for ![\angle 2](https://tex.z-dn.net/?f=%5Cangle%202)
![\angle 4 = 180^{\circ} - 65^{\circ}](https://tex.z-dn.net/?f=%5Cangle%204%20%3D%20180%5E%7B%5Ccirc%7D%20-%2065%5E%7B%5Ccirc%7D)
![\angle 4 = 115^{\circ}](https://tex.z-dn.net/?f=%5Cangle%204%20%3D%20115%5E%7B%5Ccirc%7D)
Solving (b): ![\angle 3](https://tex.z-dn.net/?f=%5Cangle%203)
To solve for
, we make use of:
The relationship between both angles is that they are complementary angles
![\angle 3 = 65^{\circ}](https://tex.z-dn.net/?f=%5Cangle%203%20%3D%2065%5E%7B%5Ccirc%7D)
Solving (c): ![\angle 7](https://tex.z-dn.net/?f=%5Cangle%207)
To solve for
, we make use of:
![\angle 7 = \angle 3](https://tex.z-dn.net/?f=%5Cangle%207%20%3D%20%5Cangle%203)
The relationship between both angles is that they are alternate exterior angles.
So:
![\angle 7 = 65^{\circ}](https://tex.z-dn.net/?f=%5Cangle%207%20%3D%2065%5E%7B%5Ccirc%7D)
Answer:
The length is 30 cubic yards.
Step-by-step explanation:
To find volume you use equation V=LxWxH
Since we already know the height, width, and volume we can input them into the equation.
18,720=L x 24 x 26
As you can see, the length is still unknown.
To figure it out though, you can multiply the height and width of the prism,
24 x 26 = 624
And then divide the volume, 18,720 by it.
18,720/624 = 30
Thus, your length is 30 cubic yards.
Answer:
5x-20
Step-by-step explanation:
since it says "product of 5 and x" we know that 5 and x is being multiplied
5x
since it says 20 less than we know that we need to subtract 20 from 5x
5x-20
Answer
(5 2) (7 3) 2 3 5 x < x - - x - The inequality is 2 x < 5x 3 -2 – 7x 5 -3 Multiply ... Find all pair of consecutive odd positive integers both of which are smaller than 10 ... Let x be the smaller of the two odd positive integers so that the other is x + 2.
Step-by-step explanation: