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Akimi4 [234]
3 years ago
10

A baseball team played 154 regular season gamesThe ratio the tumber games they the games they lost 2/5 How many games they many

games did they lose?I WILL MARK THE BRAINEST!!!
Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

61

Step-by-step explanation:

154 * 2/5 = 61.6

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Lelechka [254]

On the first on it is the first answer and the last one.

second: the second and the third one.

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What is the slope of this line?
MrMuchimi

We can use the coordinates (-4, 5) and (0, 6) to find the slope.

Slope Formula: \frac{y2-y1}{x2-x1}

Solve: \frac{6 - 5}{0 - (-4)} = \frac{1}{4}

The slope of the line is \Large\boxed{\mathsf{1/4}}

Written in slope-intercept form: y = 1/4x + 6

Hope This Helped! Good Luck!

3 0
3 years ago
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Solve the inequality.<br> 4│x + 5│ - 2 ≤ 10
castortr0y [4]

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

6 0
3 years ago
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I need the surface area of this shape EASY POINTS<br><br> Explain your answer
Alexus [3.1K]

Hi there! :)

So, to find the surface area, all you need to do is find the area of each surface on the shape.

Theres 5 different shapes in the model, so you're going to need to find the area of each one.

There is:

1. left side triangle

2.right side triangle

3.slanted rectangle

4.bottom rectangle

5. back rectangle

all the rectangles are simple, so let's start with them.

the dimensions of the slanted rectangle are 7m and 8m, so 8•7 is 56.

the dimensions of the bottom rectangle are 5m and 7m, so its 35.

the back rectangle has 5m and 7m so it is 35.

Halfway done!!

Now, onto the triangles. they're the same thing as the rectangles, but you half to 'cut it in half' or just divide by two. both of the triangles will be the same.

the triangles measurements are 5m and 8m, so 5•8 is 40, 40÷2 is 20. both of the triangles being 20, now all we have to do is add it up.

20+20+35+35+56=166

and that's about it!

I hope this helps, sorry it took so long to answer, but I hope you have a good day!

-Scarlet

(see photo for my paper work)

{CHECK REPLIES!}

5 0
3 years ago
1. Derive the half-angle formulas from the double
lilavasa [31]

1) cos (θ / 2) = √[(1 + cos θ) / 2], sin (θ / 2) = √[(1 - cos θ) / 2], tan (θ / 2) = √[(1 - cos θ) / (1 + cos θ)]

2) (x, y) → (r · cos θ, r · sin θ), where r = √(x² + y²).

3) The point (x, y) = (2, 3) is equivalent to the point (r, θ) = (√13, 56.309°). The point (r, θ) = (4, 30°) is equivalent to the point (x, y) = (2√3, 2).

4) The <em>linear</em> function y = 5 · x - 8 is equivalent to the function r = - 8 / (sin θ - 5 · cos θ).

<h3>How to apply trigonometry on deriving formulas and transforming points</h3>

1) The following <em>trigonometric</em> formulae are used to derive the <em>half-angle</em> formulas:

sin² θ / 2 + cos² θ / 2 = 1                      (1)

cos θ = cos² (θ / 2) - sin² (θ / 2)           (2)

First, we derive the formula for the sine of a <em>half</em> angle:

cos θ = 2 · cos² (θ / 2) - 1

cos² (θ / 2) = (1 + cos θ) / 2

cos (θ / 2) = √[(1 + cos θ) / 2]

Second, we derive the formula for the cosine of a <em>half</em> angle:

cos θ = 1 - 2 · sin² (θ / 2)

2 · sin² (θ / 2) = 1 - cos θ

sin² (θ / 2) = (1 - cos θ) / 2

sin (θ / 2) = √[(1 - cos θ) / 2]

Third, we derive the formula for the tangent of a <em>half</em> angle:

tan (θ / 2) = sin (θ / 2) / cos (θ / 2)

tan (θ / 2) = √[(1 - cos θ) / (1 + cos θ)]

2) The formulae for the conversion of coordinates in <em>rectangular</em> form to <em>polar</em> form are obtained by <em>trigonometric</em> functions:

(x, y) → (r · cos θ, r · sin θ), where r = √(x² + y²).

3) Let be the point (x, y) = (2, 3), the coordinates in <em>polar</em> form are:

r = √(2² + 3²)

r = √13

θ = atan(3 / 2)

θ ≈ 56.309°

The point (x, y) = (2, 3) is equivalent to the point (r, θ) = (√13, 56.309°).

Let be the point (r, θ) = (4, 30°), the coordinates in <em>rectangular</em> form are:

(x, y) = (4 · cos 30°, 4 · sin 30°)

(x, y) = (2√3, 2)

The point (r, θ) = (4, 30°) is equivalent to the point (x, y) = (2√3, 2).

4) Let be the <em>linear</em> function y = 5 · x - 8, we proceed to use the following <em>substitution</em> formulas: x = r · cos θ, y = r · sin θ

r · sin θ = 5 · r · cos θ - 8

r · sin θ - 5 · r · cos θ = - 8

r · (sin θ - 5 · cos θ) = - 8

r = - 8 / (sin θ - 5 · cos θ)

The <em>linear</em> function y = 5 · x - 8 is equivalent to the function r = - 8 / (sin θ - 5 · cos θ).

To learn more on trigonometric expressions: brainly.com/question/14746686

#SPJ1

4 0
2 years ago
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