Answer:
Step-by-step explanation:
step 1
Find the value of y
we know that
In the right triangle of the figure
Remember that
so
Simplify
step 2
Find the value of x
In the right triangle of the figure
Remember that
so
A composite number is a number that has more than 2 factors.
A prime number is a number who only have 2 factors (1, and itself)
Factors:-
9 = 1, 3, 9 = composite
2 = 1, 2 = prime
15 = 1, 3, 5, 15 = composite
21 = 1, 3, 7, 21 = composite
So, the prime #'s in this set are 2. The composite #'s in this set are 9, 15, and 21.
Hope I helped ya!!
For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
. D. Yes, the more information provided by a researcher the better. Respondents can now give an informed opinion and the results will be more accurate.
Step-by-step explanation:
But again this could be an opinion answer as well
Hope this helps
If this seems incorrect anyway please just comment and I shall change my answer thanks very much :)
Answer:
Susan makes 5 fruit cups
each fruit cup has 5 strawberries and 3 kiwis
so the number of strawberries used is - 5 x 5 = 25 strawberries
and the number of kiwis used - 5 x 3 = 15 kiwis
so the total number of fruits - 25 + 15 = 40 fruits
Joanna uses 40 fruits to make 4 fruit cups
each cup she uses 8 strawberries
therefore total number of strawberries she uses - 8x 4 = 32 strawberries
she has 40 fruits in total and 32 of those are strawberries
the rest are kiwis
number of kiwis = 40 -32 = 8
8 kiwis are there and she has to make 4 cups
so for each cup number of kiwis = 8 / 4 = 2
so each cup has 2 kiwis
Step-by-step explanation:
