Find the value of x in the triangle shown below.
=
2
45°
98

Answer:

3.0 x 10^5 km

Step-by-step explanation:

c = 299,792,458 metres per second

c = 299,792 km per second

1 light second =  299,792 km

To two significant figures

300,000 km

3.0 x 10^5 km

In 1 light second there are [tex]3\times 10^5[/tex] kilometers.

[tex]1 \text{light seconds}=3.0\times 10^5 km[/tex]

Step-by-step explanation:

To find:

Value of 1 light  second into Kilometers

Solution:

Speed of light in space = [tex]3.0\times 10^8 m/s[/tex]

This means that in 1 second light travels [tex]3.0\times 10^8 m/s[/tex].

1 m = 0.001 km

The distance traveled by the light in Km in a second will be:

[tex]3\times 10^8 m= 3\times 10^8\times 0.001 km =3.0\times 10^5 km[/tex]

So, from this, we can conclude that in 1 light second there are [tex]3\times 10^5[/tex] kilometers.

[tex]1 \text{light seconds}=3.0\times 10^5 km[/tex]

Learn more about Light seconds here:

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Answer:

340

Step-by-step explanation:

$730 - $50 = $680

$680 / 2 = 340

they both have an equal of 340 and then mike adds in 50 more so:

340 + 340 = 680 + mike's $50 = $730.

Answer:

x2+2x−15

Step-by-step explanation:

Answer:

x^2 + 2x - 15

Step-by-step explanation:

X × X + 5x - 3x - 3 × 5 =

x^2 + 5x - 3x - 3 × 5 =

X^2 + 2x - 15

also x^2 means x to the 2nd power

Answer:

its already in simplest form

Step-by-step explanation:

Answer:

You got it! 9.5 per dollar

Step-by-step explanation:

Answer:

The angular velocity of the tennis ball is 10 radians per second.

Step-by-step explanation:

The tennis ball can be represented as a particle, the angular momentum ([tex]L[/tex]), in kilogram-square meter per second, of the tennis ball is described by the following formula:

[tex]L = m\cdot r^{2}\cdot \omega[/tex] (1)

Where:

[tex]m[/tex] - Mass of the tennis ball, in kilograms.

[tex]r[/tex] - Radius of gyration, in meters.

[tex]\omega[/tex] - Angular velocity, in radians per second.

If we know that [tex]m = 0.68\,kg[/tex], [tex]r = 0.02\,m[/tex] and [tex]L = 2.72\times 10^{-3}\,\frac{kg \cdot m^{2}}{s}[/tex], then the angular velocity of the tennis ball is:

[tex]\omega = \frac{L}{m\cdot r^{2}}[/tex]

[tex]\omega = \frac{2.72\times 10^{-3}\,\frac{kg\cdot m^{2}}{s} }{(0.68\,kg)\cdot (0.02\,m)^{2}}[/tex]

[tex]\omega = 10\,\frac{rad}{s}[/tex]

The angular velocity of the tennis ball is 10 radians per second.

Answer:

[tex] \csc(570 \degree) = \frac{1}{ \sin(570 \degree) } \\ = \frac{1}{ - 0.5} \\ = - 2[/tex]

Answer:

x=-8

Step-by-step explanation:

First multiply both sides by 8

-6=-[tex]\frac{7}{8}[/tex]x-13

Next, move the terms so that x is by itself

-48=-7x-104

7x=-104+48

Finally, you can solve

7x=-56

x=-8

Answer:

Solution given;

<M=5x+10

<R=55

<M+<R=90°

5x+10+55=90°[is a required equation]

now solving it

5x=90-65

5x=25

x=25/5

x=5is your answer.

Their sum is 90

Solve it

Answer:

10 1/8

Just look it up or something, that's what i did

The area of the given rectangle is 10 1/8 units².

The region is the space taken up by a flat, two-dimensional surface. Its unit of measurement is the square. A three-dimensional object's surface area is the area occupied by its exterior surface. It is also measured in square units.The total surface area is the area encompassing the base(s) and the curving part. It is the whole area that the surface of the object takes up. A shape with a curved base and surface has a total area equal to the sum of the two areas.

As per the given data:

Measurement of the rectangle is given by

2 1/4 units by 4 1/2 units

= 2 1/4 × 4 1/2 units²

To find the area of a rectangle:

Area = length × width

From the given data

length = 4 1/2 units

width = 2 1/4 units

Area = 2 1/4 × 4 1/2 units²

= 9/4 × 9/2 units²

= 81/8 units²

= 10 1/8 units²

Hence, The area of the given rectangle is 10 1/8 units².

To learn more about surface area, click:

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Answer:

d is right broooooooooooooooo

Answer:

d

Step-by-step explanation:

5.4 is the ans ..hope it helps

Answer:

Not sure how to answer that but i am that friend getting a venti strabucks everyday and i go to sleep at 4-6 am and wake up at sometime between 10-1 pm

Step-by-step explanation:

Answer:

An obtuse angle

Step-by-step explanation:

Answer:

x = 1.50p - 1,800

Step-by-step explanation:

The equation that depicts their situation is -

1.50[tex]x[/tex] - 1800 = 0

We have a paper company sells paper for $1.50 per package with an overhead cost of $1800.

We have to write an equation which depicts their situation.

Overhead cost to the company are the expenses other than the expenses during the generation of any product or service by that company. These expenses are somewhere needed and a certain amount of money is spent on them independent of the fact how much profit your product or service is generating. Concluding, we can say -

Overhead cost = Unwanted expense to the company

According to question -

Let's assume that the company sells [tex]x[/tex] pieces of paper for $1.50.

The overhead expenses = $ 1800

Hence, the equation that depicts their situation is -

1.50[tex]x[/tex] - 1800 = 0

To solve more questions on creating a equation for a situation, visit the link below -

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Step-by-step explanation:

[tex]area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units[/tex]

Answer:

6/10 for event A or 3/5 reduced

5/10 for event B or 1/2 reduced Hope that helps!

============================================================

Explanation:

The graph of y = 5 is the horizontal line through 5 on the y axis. Two points on this line are (0,5) and (1,5).

Similarly, the graph of y = -3 is the same idea, but the horizontal line goes through -3 this time. Two points on this line are (0,-3) and (1,-3)

Let's say we're at (0,5). Directly below this point, on the other line, is (0,-3). The midpoint of (0,5) and (0,-3) is (0,1)

The midpoint of (1,5) and (1,-3) is (1,1)

We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant from the lines y = 5 and y = -3. It's the middle line halfway between the two given lines. Think of it as the median of the highway (the two shoulders of the highway being y = 5 and y = -3).

So that's why the answer is A) 1 line

------------

Side note: any time we have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the median/middle line as described above. This applies to diagonal parallel lines as well, and vertical parallel lines.

Answer:

it does

Step-by-step explanation:

i did this assignment yesterday

Answer: 97/125

Step-by-step explanation:

Answer:

Let p be the number of pens and let n be the number of notebooks.

4 notebooks + 3 pens cost $96 so 4n + 3p = 96

2 notebooks + 2 pens cost $54 so 2n + 2p = 54

We find n and p by solving the system of linear equations:

4n + 3p = 96

2n + 2p = 54

4n + 3p = 96

4n + 4p = 108 (we multiply this by 2 to cancel out 4n in both equations)

We then subtract the two equations:

(4n + 3p) - (4n + 4p) = 96 - 108

-p = -12

p = 12

So, a pen costs 12 dollars. We can use p to find n. We substitute 12 for p in one of our earlier equations:

2n + 2p = 54

2n + 2(12) = 54

2n + 24 = 54

2n = 30

n = 15

So, a notebook costs 15 dollars and a pen costs 12. Now, we need to find the cost of 8 notebooks and 7 pens:

8n + 7p = ?

8(15) + 7(12) = ?

120 + 84 = 204.

Thus, 8 notebooks and 7 pens cost 204 dollars (why is it so expensive lol).

Answer:

204

Step-by-step explanation:

:)

y = 4

Step-by-step explanation:

2x + 3y = 6. #1

2x + y = -2. #2

Subtract Eq 2 from Eq 1,

3y - y = 6 - (-2)

2y = 8

or

y = 4

Answer:

y = 4

Step-by-step explanation:

2x + 3y = 6

2x + y = -2

Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.

2x + y = -2

Subtract 2x from both sides.

y = -2x - 2

Now that we have y as an expression, plug it into the first equation.

2x + 3y = 6

2x + 3(-2x - 2) = 6

Distribute the 3 across the parentheses by multiplying.

2x - 6x - 6 = 6

Combine like terms.

-4x = 12

Divide both sides by -4.

x = -3

Now we have solved x.

To solve for y, plug x back into one of the equations.

y = -2x - 2

y = -2(-3) - 2

Multiply.

y = 6 - 2

Subtract.

y = 4

Check your answer by plugging both values back into the original equations.

2x + 3y = 6

2(-3) + 3(4) = 6

Multiply.

-6 + 12 = 6

Add.

6 = 6

Your answer is correct.

Hope this helps!

Answer:

I don't understand this question please write again

Answer:

A.52 cm2 ihope ihelp po hehe

Answer:

a

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Kite flipped 90 degrees is a rhombus, the typical one at least

Step-by-step explanation:

they are the same such that the part labelled x is the same as the part labelled 2

Answer:

C. 128 ft³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Rectangular Prism Formula: V = lwh

Step-by-step explanation:

Step 1: Define

Identify variables

l = 8 ft

w = 4 ft

h = 4 ft

Step 2: Find Volume

Answer:

Formula to be used :-

Calculation :-

=> V = LWH

=> V = 8 × 4 × 4

=> V = 128 ft²