<span>From the given information cosec theta times tan theta times cos theta, writing this triginometric expression as an equation.
cosec theta x tan theta x cos theta
cosec theta = 1/sin theta
tan theta = sin theta / cos theta
Calculating the equation after substituting
(1/sin theta) x (sin theta / cos theta) x (cos theta) = 1</span>
Answer:
r = 15
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
4500 pi = 4/3 pi r^3
Divide each side by pi
4500 = 4/3 r^3
Multiply each side by 3/4
3/4 *4500 = 3/4 *4/3 r^3
3375 = r^3
Take the cube root of each side
(3375)^(1/3) = (r^3)^(1/3)
15 = r
The total of the pupils are the 100%, or in fraction mode, 1, the whole, so we have:
bus + car + foot = total
1/3 + car + 3/10 = 1
car = 1 - 3/10 - 1/3
car = 1 - (9/30 + 10/30)
car = 30/30 - 19/30
car = 11/30
that is the fraction that come by car
Answer:30
Step-by-step explanation:the initial statement is
y ∝ x
to convert to an equation multiply by k the constant
of variation
⇒ y = k x
to find k use the given condition
y = − 24 when x = 8 y = k x ⇒ k = y x = −22
∣
∣
∣22 y = − 3 x 22
∣∣∣
−−−−−−−−−−−−−−
when x = 10
then y = − 3 × 10 = −30
Weight of 25,000 bricks = 30,000
Weight of each brick = 30,000/25,000 = 1.2 pound
Hope it helps!
