Jaime is playing disc golf. He is standing across a creek from the basket at a 60° angle.

Which equation can be used to find the distance, r, between him and the basket if he were to walk 5 more meters?
A. Cos60=r/5m
B. tan60=r/5m
C. tan60=5m/r
D. sin60=5m/r

Solution:

Given that,

Jaime is playing disc golf

He is standing across a creek from the basket at a 60° angle

Let "r" be the distance between him and the basket

The figure is attached below

From figure, it is a right angled triangle

By definition of tan,

From figure,

opposite = r

adjacent = 5 m

Thus the equation used to find the distance, r, between him and the basket is found

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.