Answer:
Step-by-step explanation:
<u>C. </u>
- 5/8x + 25 = 3/8x + 15 + 1/4x
- 5/8x + 10 = 3/8x + 2/8x
- 5/8x + 10 = 5/8x
- 10 = 0
To answer this question, you can use the values of the unit circle to figure out the angle measurement. Since the cosine is the x value of the circle, we can see that at 45°<span>, the x value is √2/2.
So the missing angle should be 45°</span>
Answer:
25% of 30% of 400 = 30
33% decrease in value
Step-by-step explanation:
You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.
Method 1:
30% of 400 = 0.3 of 400 = 0.3 * 400 = 120
25% of 120 = .25 of 120 = .25 * 120 = 30
Method 2:
30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400
7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30
5.) To find the percentage of the new price, you can build the equation below.
![\frac{new price}{original price} = \frac{percent}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Bnew%20price%7D%7Boriginal%20price%7D%20%3D%20%5Cfrac%7Bpercent%7D%7B100%7D)
![\frac{200,000}{300,000} = \frac{x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B200%2C000%7D%7B300%2C000%7D%20%20%3D%20%5Cfrac%7Bx%7D%7B100%7D)
![20,000,000 = 300,000x](https://tex.z-dn.net/?f=20%2C000%2C000%20%3D%20300%2C000x)
![x = 66.667](https://tex.z-dn.net/?f=x%20%3D%2066.667)
The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.
Answer:
The circumference would be 12*3.14/2=18.84
The quadratic equation is given by:
y = 3x² + 10x - 8
The standard equation of a parabola is given by:
y = ax² + bx + c
Where a, b, c are constants
At point (4, 80):
80 = a(4)² + b(4) + c
16a + 4b + c = 80 (1)
At point (-3, -11):
-11 = a(-3)² + b(-3) + c
9a - 3b + c = -11 (2)
At point (-1, -15):
-15 = a(-1)² + b(-1) + c
a - b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = 3, b = 10, c = -8
Therefore the quadratic equation becomes:
y = 3x² + 10x - 8
Find out more on quadratic equation at: brainly.com/question/1214333