If m 1 = 30° and m = 20°, then m =

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 4x^2-x-5=0

mart [117]

The solutions are x = -1 and x = 5/4

8 0

3 years ago

a juggler throws a ball into the air, releasing it 5 feet above ground with an initial velocity if 15 fps. she catches the ball

Lena [83]

Problems of this sort are frequently found in physics. If you study calculus or physics you'll learn how to create the equation representing the velocity of an object in flight.

Here, you don't need to calculate velocity, but rather time. Start with this equation:

v = v0 + a t^2, where v is the velocity at time t, v0 is the initial velocity, a is the acceleration due to gravity (denoted by g instead of a), and t is the elapsed time.

You are told that v0 is 15 ft/sec. Set v = to 0, as the ball stops moving for the tiniest instant at the top of its trajectory. Use g = - 32 ft (per second squared).

Then 0 = 15 ft/sec - 32 [ft/(seconds squared)] t.

Solve this for t. This is the time required for the ball to come to a complete stop at the top of its trajectory.

Finally, multiply this time by 2, since the ball begins to fall and returns to its original height.

5 0

4 years ago

Asphere which has a diameter of 6 inches has a volume of:

earnstyle [38]

Answer:

9.42 cubic inches

Step-by-step explanation:

In order to find the volume for a sphere, we use the formula V = πr. For the sake of simplicity, we will be using 3.14 for π. Before we plug anything in, let's get our radius. Remember, the radius is half of the diameter.

Equation: d = 2r

Replace: 6 = 2r

Divide: 3 = r

Now that we have our radius, let's plug in what we have and solve.

Equation: V = 3.14r

Replace: V = 3.14(3)

Multiply: V = 9.42

Remember, volume is measured in cubic units, so use cubic inches for the unit here.

4 0

3 years ago

Pierce draws a circle with a radius of 3 centimeters. Ginna draws a circle with a radius that is twice as long as the radius of

erastova [34]

Answer:

Circumference of the circle drawn by Ginna is twice the Circumference of the circle drawn by Pierce.

Step-by-step explanation:

Given:

Radius of the circle drawn by Pierce = 3 cm

We need to find circumference of gianna's circle compare with the circumference of Pierce's circle.

Solution:

Radius of the circle drawn by Pierce = 3 cm

so we will find the Circumference of circle drawn by Pierce.

Now we know that;

Circumference of the circle is given by 2 times π times radius of the circle.

framing in equation form we get;

Circumference of the circle drawn by Pierce = $2\pi\times 3=6\pi\ cm$

Now Given:

Ginna draws a circle with a radius that is twice as long as the radius of pierce's circle.

So we can say that;

radius of the circle drawn by Ginna is equal to 2 times radius of circle drawn.

so we can say that;

radius of the circle drawn by Ginna = $2\times3 = 6\ cm$

Circumference of the circle drawn by Ginna = $2\pi\times 6=12\pi\ cm$

Now we can see that;

Circumference of the circle drawn by Ginna is $12\pi \ cm$ while Circumference of the circle drawn by Pierce is $6\pi \ cm$

So we can say that;

Circumference of the circle drawn by Ginna is twice the Circumference of the circle drawn by Pierce.

3 0

3 years ago

The sum of two positive integers is 37. When the smaller integer is subtracted from twice the larger, the result is 41. Find the

yuradex [85]

Answer:

26 and 11

Step-by-step explanation:

When your add them you get 37, and when you multiply 26 by two you get 52. 52-11 is 41.

5 0

3 years ago