Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
It is equivalent to 17.7165 inches.
The number of people who how many most likely purchased crunchy-flakes cereal is 1000 customers.
<h3>How many most likely purchased crunchy-flakes cereal?</h3>
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
The first step is to determine the ratio of people who preferred crunchy-flakes cereal:
Ratio of people who preferred crunchy-flakes cereal : 5 - 3 = 2
Now, multiply the ratio of those who prefer crunchy-flakes cereal by the total number of customers: (2/5) x 2500 = 1000 customers.
To learn more about ratios, please check: brainly.com/question/25927869
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It's a y=mx+b equation, Carries' would be y=1/2 x - 125 (total profit is equal to the cupcake amount, each sold for 50 cents - the startup cost of 125). Juanita's would be y=2.25x-125. Comparing Carries' to Juanita's sales would mean that you would multiply x by 3 (no less than 3 times the ..). I may elaborate further on comparing in the comment section
Answer:
n = -6
Step-by-step explanation:
2 ( n + 5 ) = -2
First, solve the brackets.
2n + 10 = -2
Now take 10 to the right side.
2n + 10 -10 = -2 - 10
2n = -12
Then divide both sides by 2.
And now you'll the value of n.
n = ( -6 )
