9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
Answer:
slope = -3/14
Step-by-step explanation:
y1 - y2 / x1 - x2
They gave you one value, two total coordinates
5-5 = 1
-3 - 11
-14
1/-14
y=1/-14 + b
11= 1/-14(-3) + b
11 = -3/14 + b
17 + 14
b = 15 3/14
Answer:
He initially has $50 on his card.
For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:
b(x) = $50 - $10*x
Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.
Then the domain of this function will be discrete (and this implies that the range must also be discrete)
Where the possible values of x are:
{0, 1, 2, 3, 4, 5}
(after x = 5, there is no more money in the card)
And the possible values of b(x) are:
{$0, $10, $20, $30, $40, $50}
If the zoo has 2 male lions, and those 2 male lions make up

of the total lions, then you do:

× total = 2
total ÷ 6 = 2
total = 2 × 6
total = 12.
The total number of lions = 12.
Answer:
A. 1.4*20 quarters
B.14
Step-by-step explanation:
A: 1.you start with 20 quarters= 20*1
2.you find 40% of twenty quarters in your room= 4/100*20=0.4*20
3.20*1+20*0.4= 20*1.4
B:20*1.4=28
28*50/100=14