3 1/6 = 19/6
2 1/9 = 19/9
19/6 / 19/9 = 19*9/19*6 = 9/6 = 3/2
9514 1404 393
Answer:
x = 60
Step-by-step explanation:
The angle x is half the sum of the intercepted arcs:
x = (40 +80)/2
x = 60
Answer:
Total number of balloons= 160
Step-by-step explanation:
Giving the following information:
Number of balloons inflated by Zoey= 24
Proportion of balloons inflated= 15%
<u>To calculate the total number of balloons, we need to use the following formula:</u>
Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated
Total number of balloons= 24 / 0.15
Total number of balloons= 160
From the 3 options listed, both
in and
in could be measures found using a ruler with eighth inches marked, because those decimals can be written in terms of eighth fractions.
The other option,
in, is not a possibility because 0.1 cannot be written as a fraction of 8 that is marked on the ruler.
Answer:
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Step-by-step explanation:
y = (x^2 - 3)^sinx
ln y = ln (x^2 - 3)^sinx
ln y = sin x * ln (x^2 - 3)
1/y * dy/dx = sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x
1/y dy/dx = 2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)
dy/dx = [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
