Answer:
Both child tickets and senior tickets cost $14.
Step-by-step explanation:
Since the school that DeShawn goes to is selling tickets to the annual dance competition, and on the first day of ticket sales, the school sold 10 senior citizen tickets and 8 child tickets for a total of $ 252, while the school took in $ 280 on the second day by selling 10 senior citizen tickets and 10 child tickets, to determine what is the price of each of one senior citizen ticket and one child ticket, the following calculation must be performed:
10 senior tickets + 8 child tickets = 252
10 senior tickets + 10 child tickets = 280
280 - 252 = 2 child tickets
28 = 2 child tickets
28/2 = 1 child ticket
14 = 1 child ticket
14 x 10 = 140
(280 - 140) / 10 = senior tickets
140/10 = 14 = senior tickets
Therefore, both child tickets and senior tickets cost $14.
Answer:
Step-by-step explanation:
Given
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:
Having said that:
The expression can be further simplified as:
Substitute values for sin and cos
becomes
Answer:
-1
Step-by-step explanation:
here is the answer
mark me the brainliest
Answer:
27 in²
Step-by-step explanation:
area of triangle (whole) = 1/2 x base x height
= 1/2 x 10 x 6
= 30 in²
area of small triangle = 1/2 x base x height
= 1/2 x 3 x 2
= 3 in²
area of shaded region = 30 in² - 3 in²
= 27 in²
Exponential:
It is called the exponential function of base a, to that whose generic form is f (x) = a ^ x, being a positive number other than 1.
Every exponential function of the form f (x) = a^x, complies with the followingProperties:
1. The function applied to the zero value is always equal to 1: f (0) = a ^ 0 = 1
2. The exponential function of 1 is always equal to the base: f (1) = a ^ 1 = a.
3. The exponential function of a sum of values is equal to the product of the application of said function on each value separately.
f (m + n) = a ^ (m + n) = a ^ m · a ^ n
= f (m) · f (n).
4. The exponential function of a subtraction is equal to the quotient of its application to the minuend divided by the application to the subtrahend:
f (p - q) = a ^ (p - q) = a ^ p / a ^ q
Logarithm:
In the loga (b), a is called the base of the logarithm and b is called an argument, with a and b positive.
Therefore, the definition of logarithm is:
loga b = n ---> a ^ n = b (a> 0, b> 0)
