If Gina has $90 and pays:
$20 for beginning
$5 per hour
Then 90 - 20 is 70. 70 divided by 5 is 14.
She can rent a surfboard to surf for 14 hours.
The area of any regular polygon can be expressed as:
(ns^2)/(4tan(180/n)) where n is number of sides and s is a side length (no apothem needed :D)
37.2=5s^2/(4tan36)
s^2=(148.8tan36)/5
s≈4.65m
<span>Solve the system
9x = 27-9y
20x=71-9y
Let's use the "elimination through addition/subtraction method.
Multiply the first equation by -1 so as to obtain +9y:
-9x = -27 + 9y
</span><span>20x= 71- 9y
--------------------
Add these 2 equations together:
</span>-9x = -27 + 9y
20x= 71- 9y
--------------------
<span> 11x = 44
Solve this for x: x = 44/11 = 4.
Now find y by subst. 4 for x in either of the original equations.
Using the second equation: </span><span>
</span>20x=71-9y
20(4) = 71 - 9y
80-71 = -9y
9 = -9y. Then y = -1.
The solution set is (4,-1).
Answer:
<u>x = 52°</u>
Step-by-step explanation:
The angles add up to 360°.
- x + 98 + x + 91 + x + 15 = 360
- 3x + 204 = 360
- 3x = 156
- <u>x = 52°</u>
Answer:
The discrimant of this equation is 144.
Step-by-step explanation:
First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :
9x² + 14x + 13 = 8x²
9x² + 14x + 13 - 8x² = 8x² - 8x²
x² + 14x + 13 = 0
It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :
x² + 14x + 13 = 0
D = b² - 4ac
= 14² - 4(1)(13)
= 196 - 52
= 144
