Use rules of logarithms to condense. log ( y 3 x 2 z 4 )
<u>Answer:</u>
- Option A - True
- Option B - True
- Option C - False
- Option D - False
<u>Explanation:</u>
- Option A is true because if we add ∠4 and ∠6 together, we will get a straight line, which is 180°.
- Option B is true because the angles stated are in the parallel lines and are supplementary.
- Option C is false because they are not supplementary angles. Instead, they are equal due to alternate interior angles.
- Option D is false because they are not supplementary angles.
Hence, <u>we can conclude that Option A and B are correct.</u>
Hoped this helped.
Let x = download size of the standard version.
4515 - x = download size of high quality version.
High quality was downloaded 4 times more so 4 x 4.8 = 19.2 = downloads of high quality versions.
Set up a ratio:
2.3 / 19.2 = x / 4515-x
Cross multiply:
2.3(4515-x) = 19.2x
10384.50 -2.3x = 19.2x
Add 2.3x to both sides:
10384.50 = 21.5x
Divide both sides by 21.5:
X = 10384.50/21.5
X = 483
There were 483 downloads of the standard version.
9514 1404 393
Answer:
- 5 feet
- 22.4%
- 22 m
Step-by-step explanation:
1. The product of force and distance must be the same for each force. If the distance from the greater force is d, then it is 14-d for the lesser force.
135d = 75(14-d)
210d = 1050
d = 1050/210 = 5
The fulcrum must be placed 5 feet from the greater force.
__
2. The percentage change is ...
(772.80/996 -1) × 100% ≈ -22.4%
The TV was marked down about 22.4%.
__
3. The product of the two dimensions must be 220 m². We note that 10 and 22 are factors of 220, and that 22 is 2 more than double 10.
The sides are 22 meters long. (The width is 10 m.)
The correct answer is 9.64 square units
Explanation:
The area of a rectangular pool can be calculated simply by multiplying the length by the width. Moreover, this formula A = L × W can also be used to find any of the values if the two other values are known. For example, in this mathematical problem, the length and area are provided. The process to calculate the area is shown below:
A = L × W or A = L × W
12.5 × y (unknown value) = 120. 5 (area)
Move 12.5 to the other side of the equation and divide 120.5 into 12.5 as once you move a value to the other side of an equation the inverse operation should be used (12.5 multiplies y but if it is moved to the other side it needs to divide)
y = 120.5 ÷ 12.5
y = 9.64 square units
The width of the pool is 9.64 units, you can also prove this because 12.5 square units × 9.64 square units = 120.5 square units.
