Answer:
(-x,y)
Step-by-step explanation:
The formula to find the volume of a sphere is:
4π(r³/3)=V
The radius is half of the diameter.
24÷2=12
4π(12³/3)=V
12.5663706(576)=V
7238.22947=V
So, the volume of the sphere is 7,238.22947 units³.
Answer:
y > 6 or y < -3
Step-by-step explanation:
y² - 3y > 18
Complete the square.
y² - 3y + 9/4 > 18 + 9/4
y² - 3y + 9/4 > 81/4
(y - 3/2)² > 81/4
y - 3/2 > 9/2, or y - 3/2 < -9/2
y > 6 or y < -3
Answer:
no trangles can be formed
Step-by-step explanation:
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
sin(a) sin(b)
------------ = ------------
A B
Upon substituting the given values of angle A, and sides a and b, we get:
sin(75) sin(B)
------------ = ------------
2 3
Upon solving this equation for B, we get:
----->3sin(75)=2sin(B)
----->sin(B)=3sin(75)
-------------
2
------>sinB=1.4488
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
sorry I could not get to you sooner. please mark as brainliest
We are given the following information
Investment = $5200
Annual interest rate = 4.2% = 0.042
Final amount = $16,500
Number of years = 27.7 years
Number of compoudings = quartely = 4
The student uses the following model
The general formula for compound interest is given by
As you can see, the number of compoundings is incorrect (3 vs 4)
The interest rate is also incorrect.
Let us substitute the given values into the above formula
Therefore, the final amount is approximately $16,543.5
