Answer:
The constant of proportionality is the amount of cars washed in this case for every 5 cars washed the club earned y amount of money.
Hope this helpes?!
Let the eq of circle be
x
2
+y
2
+2gx+2βy+c=0
now, x intercept = 2
g
2
−c
But circle touches x axis ∴ x intercept = 0
∴2
g
2
−c
=0∴g
2
=c
∴eq
n
become x
2
+y
2
+3gx+2βy+g
2
=0
Now circle passes through (3, 0) and (1, 4)
∴(3)
2
+(0)
2
+2g(3)+0+g
2
=0
9+6g+g
2
=0
∴g=−3
Also (1)
2
+(4)
2
+2(−3)(1)+2β(4)+9=0
∴1+16−6+8β+9=0
∴20+8β=0 ∴β=
2
5
Hence eq
n
of circle is
x
2
+y
2
−6x−5y+9=
Answer:
b
Step-by-step explanation:
Answer:
1-
sinA = perpendicular / hypotenuse
sinA = 40 / 50 OR 4/5
cosA = base / hypotenuse
cosA = 30 / 50 OR 3/5
ANS - OPTION(D) 4/5 , 3/5
2-
ANS - OPTION(C) √2 (You will need to learn the trigo angle tables for these questions)
3-
Using Pythagoras theorem-
15^2 = b^2 + 9^2
225 = b^2 + 81
b = √144
b = 12
OPTION(C) b = 12
4-
First we need to find the height of the triangle. To do that we need to take the triangle on the left and use cos30
cos30 = b / 6
√3/2 = b /6
3√3 = b
b = 3√3
and now we can use tan45
tan45 = 3√3 / x
1 = 3√3/x
x = 3√3
ANS - OPTION(A) 3√3
Hope this helps!!!
Answer:
303.2 cubic inches
Step-by-step explanation:
20.6in × 3.8in ×2.9in + 3.7in × 7.1in × 2.9in
= answer