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3 years ago

There was 7L of punch for the birthday party. How many mL of punch was there?

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

3 0

Answer:

7000 ml

Step-by-step explanation:

hope this helps!!!!!!!!!

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Use trigonometric identities to solve each equation within the given domain.

katrin [286]

Recall that the tangent function is defined by

tan(x) = sin(x)/cos(x)

Also recall the double angle identity for sine,

sin(2x) = 2 sin(x) cos(x)

Then the equation is the same as

3 sin(x)/cos(x) = 4 sin(x) cos(x)

Move everything to one side to prepare to factorize:

3 sin(x)/cos(x) - 4 sin(x) cos(x) = 0

sin(x)/cos(x) (3 - 4 cos²(x)) = 0

As long as cos(x) ≠ 0, we can omit the term in the denominator, so we're left with

sin(x) (3 - 4 cos²(x)) = 0

and so

sin(x) = 0 or 3 - 4 cos²(x) = 0

sin(x) = 0 or cos²(x) = 3/4

sin(x) = 0 or cos(x) = ±√3/2

On the interval [0, 2π),

• sin(x) = 0 for x = 0 and x = π

• cos(x) = √3/2 for x = π/6 and x = 11π/6

• cos(x) = -√3/2 for x = 5π/6 and x = 7π/6

(None of these x make cos(x) = 0, so we don't have to omit any extraneous solutions.)

6 0

3 years ago

Geometry...Please help as soon as possible please and Thank you so much

Radda [10]

Answer:

They are equal since they are both 90 degree angles.

Step-by-step explanation: Please brainliest? (Sorry if not correct.)

7 0

2 years ago

How to represent 0.5 on a decimal grid

Alina [70]

Answer:

put one and then put 0.5 in between 0 an 1

Step-by-step explanation:

7 0

3 years ago

You have six trophies to arrange on the top shelf of the bookcase how many ways are there to arrange the trophies

e-lub [12.9K]

Answer:

So, we can do it in 720 ways.

Step-by-step explanation:

We have been given total of six trophies to arrange in the top shelf of the bookcase

If we need to arrange n things in different ways we can do it in n! ways

Similarly, Here we will do it in 6! ways

n!=n(n-1)(n-2).....1

So, 6!=6 x 5 x 4 x 3 x 2 x 1=720

5 0

3 years ago

A young sumo wrestler decided to go on a diet to gain weight rapidly. He gained weight at a rate of 5.5kg a month. After 11 mont

kondaur [170]

Answer:

$W(t)=5.5t+79.5$ .

Step-by-step explanation:

Please consider the complete question.

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms. Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).

Since wrestler gained weight at a rate of 5.5 kilograms per month, so slope of line be 5.5.

Now, we will use point-slope form of equation as:

$y-y_1=m(x-x_1)$ , where,