All categories

3 years ago

Which of the following options will definitely balance the third scale?

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

Answer:

I'd say b... But I'm not very confident about it.. Let me know if it's right.

You might be interested in

Ted is constructing an equilateral triangle. He draws a segment with his straightedge and labels the endpoints A and B. He then

gladu [14]

Answer:

Step-by-step explanation:

Keep the same compass opening, place the compass point on B, and draw a circle.

3 0

3 years ago

What is the slope of line segment AB? where A is (-5,3) and B is (3,-3)

Salsk061 [2.6K]

Answer:

D) -3/4

Step-by-step explanation:

Slope is found by using

m= (y2-y1)/(x2-x1) hwere the points are (x1,y1) and (x2,y2)

= (-3-3)/(3--5)

= (-6)/(3+5)

= -6/8

=-3/4

6 0

4 years ago

Find the area of the parallelogram.<br>4 m<br>11 m

agasfer [191]

Answer:

The area of this parallelogram is $44meters^2$

Step-by-step explanation:

The formula for working out the area of a parallelogram is : $base*height$

To work out the area you would multiply the base of 11 by the height of 4, this gives you 44 meters squared. This is because a identical parallelogram and a rectangle would have the same area.

1) Multiply 11 by 4.

$11*4=44 meters^2$

4 0

3 years ago

A cylinder has a height of 8.1 inches and circular base with a diameter of 2.7 inches. The cylinder contains 3 green spheres, ea

klasskru [66]

Answer:

A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25

Step-by-step explanation:

Let's find volume of the cylinder and volume of the three spheres.

Volume of cylinder = $\pi r^{2} h$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

Now, r =2.7

h=8.1

Find volume of each shape.

Volume of cylinder = $\pi (2.7)^{2} (8.1)$

=59.049 $\pi$

Now, volume of 3 spheres = $3*\frac{4}{3} *\pi *(2.7)^{3}$

=78.732 $\pi$

Now, p(E)= $\frac{Outcomes favorable to event E}{Total number of outcomes}$

So, Probability of point is chosen at random inside the cylinder which belongs outside of the spheres is

$\frac{78.732\pi -59.049\pi }{78.732\pi }$

Let's simplify them

0.25

A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25

6 0

3 years ago

A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time

galben [10]

Answer:

The height at time of 12.1 seconds is approximately 729.2562 feet

Step-by-step explanation:

The general form of the quadratic regression equation is y = A + Bx + Cx²

The quadratic regression formula is given as follows;

$B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}$

$C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}$

$A = \bar y - B \bar x - C \bar {x^2}$

$S_{xx} = \Sigma (x_i - \bar x)^2$

$S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)$

$S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})$

$S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2$

$S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})$

Solving using an online quadratic regression calculator, gives;

A = 2.5643259

B = 246.6374865

C = -15.41986006

Substituting gives;

y = 2.5643259 + 246.6374865·x -15.41986006·x²

When time, x = 12.1, we have;

y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet

The height at time of 12.1 seconds ≈ 729.2562 feet.

8 0

3 years ago