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1 year ago

Simplify the expression 1-cos^2(t) / cos^2(t)

Mathematics

1 answer:

OLEGan [10]1 year ago

3 0

Answer: $\tan^2 t$

Step-by-step explanation:

$\sin^{2} t+\cos^2 t=1 \implies 1-\cos^2 t=\sin^2 t\\\\\implies \frac{1-\cos^{2}t}{\cos ^2 t}=\frac{\sin ^2 t}{\cos^2 t}=\tan^2 t$

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What is the constant of proportionality in the equation y=2xy

dybincka [34]

Answer:

2 is the constant of proportionality in the equation y = 2x .

Step-by-step explanation:

Definition of constant of proportionality

When two variables are directly proportional to each others .

Let us assume that u and v .

u \propto vu∝v

Than the equation becomes u= kv

Where k is called the constant of proportionality .

Thus in the question x and y are proportional variables .

i.e

y \propto xy∝x

y = kx

Where k is called the constant of proportionality .

Compare the equation y = kx with y=2x .

Thus

k = 2

Therefore 2 is the constant of proportionality in the equation y = 2x

the explanation is not mine only the answer

6 0

2 years ago

Find the volume of a hemisphere with a radius of 8. Round to the nearest tenth.

skad [1K]

Answer:

V(hemisphere) = 1072.3in^3

Step-by-step explanation:

To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.

The volume of a sphere is:

Let's plug in the radium of 8 into the equation and solve:

Now, divide it by 2

V(sphere) = (2144.660585)/2

V(hemisphere) = 1072.3in^3

I hope this helps!!

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2 years ago

VOLLEYBALL. This is for volleyball players, name 5 facts about safety in volleyball. (such as why u should have knee pads)

Sholpan [36]

Answer:

you can scrap your knee if you don't have knee pads
you can get hit with a ball if you don't stay away from the net
be careful of your soundings because you could hit someone
cover your mouth when your coughing and playing at the same time
keep your eyes one the ball

Step-by-step explanation:

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2 years ago

Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2

kipiarov [429]

Answer: 6 inches long and 4 inches wide

Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.

hope this helps

6 0

2 years ago

Tic-tac-toe: In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is

Natasha2012 [34]

Answer:

$P(X \geq 1) = 1-P(X$

And if we find the individual probability we got:

$P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865$

And replacing we got:

$P(X \geq 1) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=0.127)$