This question may be trick question xD haha.
Anyways, a right triangle is a triangle with a right angle (90 degrees). In your picture, that triangle is a right triangle, but the sides could be a bit slanted. Please take a picture from top view, so I can see it properly.
The triangle's length does not matter in this case. As long as it has a right angle, it's a right triangle.
Answer:
Cir of front wheel = pi x d = 3.14 x 12 = 37.7 in.
Cir of rear wheel = pi x d =3.14 x 18 = 56.52
Revolutions of front Tire = 300 / 37.7 = 7. 96 revolutions
Revolutions of rear Tire = 300 / 56.5 = 5.31 revolutions
Revolutions Front - Revolutions Rear = 7.96 -56.31 = 2.7 revolutions more
Step-by-step explanation:
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
y'(t) = k√(y(t)) . . . . for some proportionality constant k
y(0) = 30
y(1) = 29
We observe that a function of the form
y(t) = a(t - b)²
will have a derivative that is proportional to y:
y'(t) = 2a(t -b)
We can find the constants "a" and "b" from the given boundary conditions.
At t=0
30 = a(0 -b)²
a = 30/b²
At t=1
29 = a(1 - b)² . . . . . . . . . substitute for t
29 = 30(1 - b)²/b² . . . . . substitute for a
29/30 = (1/b -1)² . . . . . . divide by 30
1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
b = 30 +√870 . . . . . . . . simplify
The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
Step-by-step explanation:
the line equation
y = ax + b
gives us slope (a) and y-interception (b).
4x + 3y = 5
3y = -4x + 5
y = -4/3 × x + 5/3
the slope of the original line is therefore -4/3.
a perpendicular slope flips x and y upside-down and flips the sign.
so, the perpendicular slope of -4/3 is 3/4.
the desired line looks like
y = 3/4 × x + b
b we get by using the given point and its coordinates :
-3 = 3/4 × 3 + b = 9/4 + b
-12/4 = 9/4 + b
b = -21/4
so our full line equation is
y = 3/4 × x - 21/4
or
4y = 3x - 21
-3x + 4y = -21
Answer:
2 km
Step-by-step explanation:
Reference angle = 45°
Opposite = u
Hypotenuse = 2√2 km
To find u, apply SOH:
Sin 45° = Opp/Hyp
Sin 45° = u/2√2
√2/2 = u/2√2 (sin 45 = √2/2)
Cross multiply
2*u = √2*2√2
2u = 4
Divide both sides by 2
u = 4/2
u = 2 km