This is the concept of trigonometry, we are required to calculate the number of floors the building has given the information above;
# floors=[height of the building]/[height of each floor]
height of each floor=17 ft
let the height of the building be,h.
h is given by;
tan theta=opposite/adjacent
theta=80
opposite=h
adjacent=75 ft
thus
tan 80=h/75
h=75 tan 80
h=425.35 ft
thus the number of floors will be:
425.35/17
=25.020≈25 floors
Okay so the equation y two - y one divided by x two - x one will solve this.
what y two means is that you need to plug that in for the second y value. since fractions are in x, y form and you need to start with the second y value,and it would be 3 and following that same idea with y but with the first pair of coordinates it would be 2. so we have done half of this so far by getting 3-2 but we still need to do the same thing we just did BUT for THE X COORDINATES. remember to put the SECOND x coordinate first like we did with the y coordinate. so this portion should be -4 - (-1) all together. never forget if a number has a negative sign! so now the final equation is 3-2 divided by -4 - -1. three minus 2 is 1 and -4 - -1 is -3. now divide your separate answers by each other which is 2 divided by -3 which is -0.666..... you can round that answer or just keep it in fraction form of -2/3 if you’d like.
Answer:
Combined equation is 
Step-by-step explanation:
a varies directly as b and inversely as c.
This can be written as
a =
a = kb
where k is the proportionality constant
-------------------------------------(1)
Now lets find the k value bu substituting the given a, b,c values
36 = 12 k
k = 3
Thus the eq(1) becomes
Let us now find the value of a when b=7 and c = 3
a = 7
Answer:
Step-by-step explanation:
Let x represent the number of video games that Kevin rents.
Let y represent the total amount that he paid for x video games rental.
The slope intercept form of an equation is expressed as
y = mx + c
Where
m = slope
c = intercept
When Kevin rented 2 games, he had spent a total of $25 of his money. When Kevin rented 2 more video games (4 total), he then had spent $30 total of his money at this store all together. Therefore,
Slope, m = (30 - 25)/(4 - 2) = 5/2 = 2.5
To determine the intercept, c, we will substitute m = 2.5, x = 4 and y = 30 into y = mx + c. It becomes
30 = 2.5 × 4 + c
30 = 10 + c
c = 30 - 10 = 20
The Slope-Intercept Form to model how much Kevin pays per x video game rentals with his store membership becomes
y = 2.5x + 20
The cost per video game rental is $2.5
The membership fee is $20
