Answer:
x = 61°
y = 29°
Step-by-step explanation:
Since x°+29° is a right angle (90°), you would have to subtract 29 from 90 to get x.
90 - 29 = x
90 - 29 = 61
x = 61°
For y: You can infer that y°+x°=90° as well because the angles are corresponding angles. So to find y°, you would do the same thing as finding x.
90 - x = y
90 - 61 = 29
y = 29°
Hope this helps :)
Answer:
Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.
Step-by-step explanation:
Answer:
Cash = 240, Credit = 330, Gift = 30
Step-by-step explanation:
We know from this the precentage of people using different payment methods
Cash = 40/100 = 40%
Credit card = 55/100 = 55%
Gift card = 5%
We can then find the number of people using each method regardless of total amount of people
Cash = 40% * 600 = 240
Credit = 55% * 600 = 330
Gift card = 5% * 600 = 30
Total = 240 + 30 + 330= 600
34%
This is because when you divide 1,050 by 3,000 you get 0.34 then turn that into a percent then there you go
Answer:
a)

b)
3,814,698
c)
16.08 weeks
Step-by-step explanation:
a)
The question presented here is similar to a compound interest problem. We are informed that there are 400 rice weevils at the beginning of the study. In a compound interest problem this value would be our Principal.
P = 400
Moreover, the population is expected to grow at a rate of 150% every week. This is equivalent to a rate of interest in a compound interest problem.
r = 150% = 1.5
The compound interest formula is given as;

We let y be the weevil population in any given week x. The formula that can be used to predict the weevil population is thus;

b)
The weevil population 10 weeks after the beginning of the study is simply the value of y when x = 10. We substitute x with 10 in the equation obtained from a) above;

Therefore, the weevil population 10 weeks after the beginning of the study is approximately 3,814,698
c)
We are simply required to determine the value of x when y is
1,000,000,000
Substitute y with 1,000,000,000 in the equation obtained in a) above and solve for x;
