To answer this item, we make use of the equation derive from the Pythagorean theorem for right triangles which states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two shorter sides. If we let x be the measure of both the shorter sides (we call this as legs), we have,
(14 in)² = (x²) + (x²)
Simplifying the equation,
196 in² = 2x²
Divide both sides of the equation by 2,
98 in² = x²
To get the value of x, we get the square root of both sides of the equation,
x = sqrt (98) = 7√2 inches
Hence, the measure of each leg of the right triangle is 7√2 inches or approximately 9.9 inches.
Answer:
<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>
Step-by-step explanation:
The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:
40 - (3 x 2)
= 40 - 6
= 34 paddle boats.
The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.
Total Revenue = 34 x 6
= $204
<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>
Answer:
Step-by-step explanation:
Sidney Crosby, Pittsburgh Penguins
The question is asking to write and equation by using the two variable in the standard form that ca be used to describe the velocity of thecar at different times and base on my calculation, I would say that the answer would be v=4t+39. I hope you are satisfied with my answer and feel free to ask for more
Answer:
see below
Step-by-step explanation:
a. Has a slope of 2 and passes through (10,17)
Using the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substitute the point into the equation
17 = 2(10)+b
17 = 20+b
Subtract 20 from each side
17-20 =b
-3 =b
y = 2x-3
b. passes through (1,-4) and (2,-5)
First find the slope
m= (y2-y1)/(x2-x1)
= (-5- -4)/(2-1)
= (-5+4)/(2-1)
= -1/1
= -1
Using the slope intercept form
y = -x+b
Substitute a point into the equation
-4 = -1(1) +b
-4 = -1+b
Add 1 to each side
-3 = b
y = -x+3
