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3 years ago

You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

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There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents

MAXImum [283]

Answer:

There are a total of 4 + r + 6 marbles in the bag

The probability of a blue is $\frac{4}{10+r}$

The probability of a red is $\frac{r}{10+r}$

The probability of choosing a blue, replacing it and then a red is

$\frac{4}{10+r}$ × $\frac{r}{10+r}$ = [tex]\frac{4r}{100+20r+ r^{2} /[tex]

Step-by-step explanation:

6 0

2 years ago

What is 481 divided by 8?Is it 60 with a remainder of 1 ?

Marizza181 [45]

Yes. 60 remain 1 or 60.125 .

5 0

3 years ago

Can anyone help me with Question 7? I’m not good at word problems :(

romanna [79]

You just have to find the angle whose sine is 0.1045. Use the sin-1 key on your calculator ( make sure its set to degrees first)

m < B = 6.000 degrees to nearest thousandth

7 0

2 years ago

9. If f(x)=-2x^2+4x-6, then f(2)=

Romashka-Z-Leto [24]

Answer:

f(2) = -6

General Formulas and Concepts:

Order of Operations: BPEMDAS

Substitution and Evaluation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 4x - 6

f(2) is x = 2

Step 2: Solve

Substitute: f(2) = -2(2)² + 4(2) - 6
Exponents: f(2) = -2(4) + 4(2) - 6
Multiply: f(2) = -8 + 8 - 6
Add: f(2) = -6

3 0

3 years ago

How do you find a volume of a cone?

Dennis_Churaev [7]

Answer:

V = (1/3)πr²h

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

Cylinder Volume = πr²h

Cone Volume = (1/3)πr²h

where r is the radius (of the base), and h is the height perpendicular to the circular base.

_____

Comment on area and volume in general

You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...

V = Bh . . . . . for an object with congruent parallel "bases"

V = (1/3)Bh . . . . . for a pointed object with base area B.

This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)

Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)

* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.

4 0

2 years ago