Answer:
1. 1072.6
2. 753.6
3. 194.2
4. 59.5
5. 4848.3
6. 1818.3
Step-by-step explanation:
We have to use the trigonometric functions sin, cos, and tan. Remember the mnemonic SOH-CAH-TOA when solving these problems. (sinθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent)
1. tan(40)=900/x
x=900/tan(40)
x=1072.6
2. tan(37)=x/1000
1000tan(37)=x
753.6=x
3. sin(18)=60/x
x=60/sin(18)
x=194.2
4. sin(48)=x/80
80sin(48)=x
59.5=x
5. tan(22)=x/12000
12000tan(22)=x
4848.3=x
6. tan(33)=x/2800
2800tan(33)=x
1818.3=x
X^2 + y^2 - x - 2*y = 0
To find both coordinates and radius we need to make this equation in circle form:
(x-a)^2 + (y-b)^2 = r^2
x^2 - 2*1/2*x + 1/4 - 1/4 + y^2 - 2*1*y + 1 - 1 = 0
Here we are adding and subtracting numbers in order to get square binomial.
(x - 1/2)^2 + (y-1)^2 = 5/4
coordinates of center are (1/2,1) and the radius is √
Pedro scored 1479 points while Ricky scored 1199 points
1.7-3-2.4y= 12y-11.64
-1.3-2.4y = 12y - 11.64
-2.4y = 12y - 11.64
-14.4y = -10.34
y= 10.34/14.4= 5.17/7.20 or 517/720