It can be viewed different to what is more accurate depending on the relation of this question to another.
Answer:
![30w - 15v + 25](https://tex.z-dn.net/?f=%2030w%20-%2015v%20%2B%2025%20)
Step-by-step explanation:
Multiply -5 by each term inside the parentheses.
![-5(-6w+3v-5) =](https://tex.z-dn.net/?f=%20-5%28-6w%2B3v-5%29%20%3D%20)
![= -5 \times (-6w) + (-5) \times 3v + (-5) \times (-5)](https://tex.z-dn.net/?f=%20%3D%20-5%20%5Ctimes%20%28-6w%29%20%2B%20%28-5%29%20%5Ctimes%203v%20%2B%20%28-5%29%20%5Ctimes%20%28-5%29%20)
![= 30w - 15v + 25](https://tex.z-dn.net/?f=%20%3D%2030w%20-%2015v%20%2B%2025%20)
Answer:
Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.
Step-by-step explanation:
To calculate how many bulbs of jumbo garlic Anjali can buy with $3.96, we must first calculate the unit rate of the jumbo garlic. Julio buying 12 bulbs of jumbo garlic for $11.88 can be represented as:
![\frac{11.88}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B11.88%7D%7B12%7D)
Divide the fraction by
to calculate the unit rate:
![\frac{.99cents}{1bulb}](https://tex.z-dn.net/?f=%5Cfrac%7B.99cents%7D%7B1bulb%7D)
So if each bulb of garlic costs $0.99, which we can think of as being $1.00 at the moment, we could figure that Anjali's $3.96 would be closer to $4 than it is to $3, so let's multiply the unit rate by
:
× ![\frac{4}{4}=](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B4%7D%3D)
![\frac{3.96}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3.96%7D%7B4%7D)
Therefore, Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.
_
Check your work by dividing
by
to see if you will get your initial unit rate:
÷ ![\frac{4}{4} =](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B4%7D%20%3D)
![\frac{0.99}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B0.99%7D%7B1%7D)
Therefore, our solution is correct!
Answer:
A - 19.5
Step-by-step explanation:
A Rhombus is characterized by the diagonals meeting at a right angle. Therefore, the angle in the center is 90 degrees.
If you look at the bottom triangle, you know that the angles of a triangle add up to 180 degrees. You can say that all of the angles of the triangle added to 180 are:
(3x + 12) + (x) +(90) = 180 degrees
4x + 102 = 180 degrees combining like terms
4x + 102 - 102 = 180 - 102
4x = 78
4x/4 = 78/4
x = 19.5 degrees
<span>2cos^2x = sin2x
2cos^2x = 2sin x cos x
(2sin x cos x) / (2cos^2x) = 1
sin x / cos x = 1
tan x = 1
x = π/4</span>