<=> cosx = +1/2 or cosx = -1/2;
cosx = +1/2 => x = +π/3 + 2kπ, where k is an integer or x = -π/3 + 2kπ, where k is an integer;
cosx = -1/2 => x = +2π/3 + 2kπ, where k is an integer or x = -2π/3 + 2kπ, where k is an integer;
Answer:
Step-by-step explanation:
radius r = 5 cm
Height h = 5 cm
Volume of cylinder = πr²h
= π * 5 * 5 * 5
= 125π cm³
The amount Sheila deposits in the Bank of US saving account is $511.
Sabrina has a total of $3,066 she wants to deposit. She has three banks that she wants to deposit her money in.
Let, a represent the amount she would deposit she would invest 7/4 bank.
The amount invested in Catch bank = 6 x a = 6a
The amount invested in Bank of US = 20% x ( 6a + a)
= 0.2 x 7a
= 1.4a
The total amount invested in the three banks can be represented with this equation:
1.4a + a + 6a = 3066
In order to determine the amount she would save in the Bank of US, the amount deposited in 7/4 bank has to be determined first.
8.4a = 3066
a = $365
The amount deposited in the Bank of US = 1.4a
= 1.4 x 365
= $511
A similar question was answered here: brainly.com/question/2289204?referrer=searchResults
Answer:
I used Desmos to graph your requirements, and i took a screenshot of the graph. Credit to Desmos for the great graphing system.
Step-by-step explanation:
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
