The X (1) axis represents the number of hours, and the Y (75) axis represents the number of dollars. When 0 hours are passed, 0 hours are payed (0,0) 1 hour 75 dollars are payed (1, 75) 2 hours 150 dollars is payed (2, 150) and so on
Answer:
See the proof below
Step-by-step explanation:
For this case we need to proof the following identity:
We need to begin with the definition of tangent:
So we can replace into our formula and we got:
(1)
We have the following identities useful for this case:
If we apply the identities into our equation (1) we got:
(2)
Now we can divide the numerator and denominato from expression (2) by 
and we got this:
And simplifying we got:
And this identity is satisfied for all:
1a 2.5 characters per second
1b 3 characters per second
1c 3.5 characters per second
1d s = 2 + 0.5m
2a 8 = 2 +0.5m
6=0.5 m
m=12
2b the final speed James wants is 8 cps. sub that in for s. we want to know m. first, subtract 2 from both sides to get 6. then, divide by 0.5, which is 1/2 as a fraction. In order to divide a number by a fraction, you need to invert the fraction and switch operations from division to multiplication. It becomes 2/1 * 6 = 12.
3a 10 r +4 = 8
10r =4
r =4/10=2/5
3b. In this equation, r could be the increase in amount of characters that Lydia can type per second.
4. John buys a small tree that is 5 inches tall. Each month, this tree grows 8 inches. How long will it take for the tree to reach 37 inches in height?
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Answer:
Perimeter of rectangle = 30 cm
Step-by-step explanation:
Perimeter of rectangle = (length + width) x 2
-- width or breadth --
Perimeter
= (10 + 5) * 2
= 15 * 2
= 30 cm
