Answer:
Solution given:
angle : 80°
hypotenuse:y=?
opposite=21
we have
Sin 80=
doing crisscrossed multiplication
we get
y=
<u>y=21.32</u>
The first thing we are going to do for this case is define variables.
We have then:
x: number of gallons of water
y: total weight
We then have an equation of the form:

Where,

Substituting values:

We choose an ordered pair:

Substituting values:

Rewriting:
Answer:
y = 8.34x + 30
Answer:

Step-by-step explanation:
We know that the line has a slope of 2 and it passes through the point (3, -4).
So, we can use the point-slope form:

Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:

Solve for y. Distribute the right:

Subtract 4 from both sides. Therefore, our equation is:

Answer:
c.vertical angle is the answer
Answer:
The angular velocity of Earth is π/12 radians per hour.
The angular velocity of Earth is 2π radians per day.
Step-by-step explanation:
A full circumference of a circle (as the Equator line on Earth) is 2π radians.
Since the planet does a full revolution in 24 hours... that means it makes a full turn in a day.
So, we can see that in a day, the planet rotates 360 degrees... or 2π radians per day!
Now, if you want to find the angular velocity per HOUR... you divide that by 24... so 2π/24 = π/12 radians
So, we can also say it does π/12 radians per hour.