Answer:
75°
Step-by-step explanation:
firstly, use the pythagoras theorem
Square root(8²-2²) = 7.75
Then, use sine
sine A= 7.75/8
Sine A=0.9688
A= (sine power of -1) x (0.9688)
A=75.63
Answer:
The slope is 1/5= rise/run
and y-intercepts is -1
Step-by-step
Answer:
For right angle triangle,
we use Pythagoras theorem that is:
c = 
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = 
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = 
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,
1225 = 400 + 
= 1225 - 400
= 825
b = 5 
For question 4:
c = 37
a = 20
b = ?
putting them in formula,
1369 = 400 +
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
Answer:
The cost function that represents this scenario is c(x) = 2 + 0.50x .
Option (b) is correct .
Step-by-step explanation:
As given
Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie.
if x equals the number of nights Laura has the movie.
Than the cost function that represents this scenario .
c(x) = Flat fee + Cost for x equals the number of nights Laura has the movie.
c(x) = 2 + x × 0.50
c(x) = 2 + 0.50x
Therefore the cost function that represents this scenario is c (x) = 2 + 0.50x .
Option (b) is correct .
1. A quadratic equation has the following form: ax²+bx+c.
2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.
3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:
(x-5)(x+3)=0
4. When you apply the distributive property, you obtain:
x²+3x-5x-15=0
x²-2x-15=0
5. Therefore, the answer is:
x²-2x-15=0
