Solve the system of equations for y. x

WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 f

Mashutka [201]

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

7 0

3 years ago

What are the solutions to the equation x2−12x+100=0?

marysya [2.9K]

Answer:

$x=6+8i$

$x=6-8i$

Step-by-step explanation:

$x^2-12x+100=0$

solve by quadratic formula.

$\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}$

$\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}$

$\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}$

which is

$x=\frac{12+16i}{2}$

$x=\frac{12-16i}{2}$

Simplify.

$x=6+8i$

$x=6-8i$

Solved.

Hope this helps.

8 0

2 years ago

The front of the speaker is similar to the front of a speaker in a photo. What is the area of the front of the speaker? pls help

harkovskaia [24]

Answer:

i think its 96.

Step-by-step explanation:

6 0

3 years ago

Describe how y = f(x) is transformed by each of the

Lady bird [3.3K]

Using translation concepts, it is found that the transformations are as follows:

In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.

In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In y = -f(x÷2)-5, we have that:

f(x) is multiplied by -1, hence it was reflected over the x-axis.

x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.

5 is subtracted from f(x), hence the function was shifted 5 units down.

In y = f(-x) + 5, we have that:

x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.

5 is added to f(x), hence the function was shifted 5 units up.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

8 0

2 years ago

95 POINTS

gavmur [86]

Answer:

1)

Step-by-step explanation:

Let's assume we know the measurement for angle F (let's just call it 20 degrees to help us imagine things).

The triangle in the right of the drawing and the bigger triangle (that contains both of the triangles) share that angle.

We are given angleEDF has measurement 90 degrees because of the square there.

We can find angleE's measurement using that the sum of the interior angles of a triangle is 180.

I'm looking at the green triangle you have 90+20+mAngleE=180.

Let's solve that for mAngleE.

90+20+mAngleE=180

110+mAngleE=180

Subtract 110 on both sides:

mAngleE=180-110

mAngle=70.

The only way we are going to prove these triangles are similar is if we have a condition that helps us show that the smaller two triangles are also 20-70-90 triangles.

Let's look at choice 1)

If DG is an altitude then DG is perpendicular to EF. Perpendicular means it forms 90 degree angles at the intersection.

If we look at the right triangle, this gives us enough information to find the last angle, the angle known as GDF.

mAngleGDF+20+90=180

mAngleGDF+110=180

Subtract 110 on both sides:

mAngleGDF=70.

So we have a 20-70-90 triangle again. So the one on the right and the green triangle are similar.

We can find angle EDG's measurement to since we know angle E's measurement is 70 and angle EGD's measurement is 90.

mAngleEDG+70+90=180

mAngleEDG+160=180

mAngleEDG=20

So we have a 20-70-90 triangle again. So the one on the left is similar to the other two triangles in this picture as well.

Again if the corresponding angles of a triangle are congruent then the triangles are at least similar.

I provided a drawing for number 1 with the example I put here.

Let's look at 2). We already know EF is an hypotenuse of triangle EDF since it is opposite the 90 angle that is EDF.

2 doesn't help us because it gives no additional information.

Let's look at 3). Segment ED is shorter than segment DF. This gives us no measurements or even a ratio to compare the sides.

Let's look at 4). Angle is congruent to itself. There is only one angle that can be seen as angle E in this picture so this also provides no additional information.

5 0

3 years ago

Read 2 more answers

Solve the system of equations for y. x - 5y = -6 and x + 2y = 8