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In an all boys school, the heights of the student body are normally distributed with a
mean of 69 inches and a standard deviation of 2.5 inches. Using the empirical rule,
what percentage of the boys are between 61.5 and 76.5 inches tall?

Answer: 5,400 degrees

Step-by-step explanation:

Answer:

In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5400 degrees.

Internal angle (degrees): 168.75°

Dual polygon: Self

Symmetry group: Dihedral (D32), order 2×32

Step-by-step explanation:

Your welcome!!!❤

Answer:

RIP chadwick

Step-by-step explanation:

Answer:

There is nothing here?

Step-by-step explanation:

First,

tan(θ) = sin(θ) / cos(θ)

and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)

Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.

Now recall the half-angle identities,

cos²(θ/2) = (1 + cos(θ)) / 2

sin²(θ/2) = (1 - cos(θ)) / 2

and taking the positive square roots, we have

cos(θ/2) = √[(1 + cos(θ)) / 2]

sin(θ/2) = √[(1 - cos(θ)) / 2]

Then

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

Notice how we don't need sin(θ) ?

Now, recall the Pythagorean identity:

cos²(θ) + sin²(θ) = 1

Dividing both sides by cos²(θ) gives

1 + tan²(θ) = 1/cos²(θ)

We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.

cos²(θ) = 1/(1 + tan²(θ))

cos(θ) = - 1/√[1 + tan²(θ)]

Plug in tan(θ) = - 12/5 and solve for cos(θ) :

cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13

Finally, solve for sin(θ/2) and tan(θ/2) :

sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)

tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2

Answer:

x>5490

x

​​ >61

x>61×90

x>5490

Answer:

12

Step-by-step explanation:

△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!

This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.

First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).

Now, we just solve it!

[tex]60=5y[/tex]

y=12

Step-by-step explanation:

A - 2.5 = 1.5

A = 1.5 + 2.5 (Add 2.5 on both sides)

A = 4.

Answer:

C

Step-by-step explanation:

Answer:

[tex]f(x) = \frac{x + 1}{4}[/tex]

Step-by-step explanation:

To inverse the function switch the places of x and y like this:

x = 4y - 1

Now, solve for y:

[tex]x + 1 = 4y\\\frac{x + 1}{4} = y[/tex]

It's that easy!

I hope this helps!!

- Kay :)

Answer:

C. x = √61

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 6

Leg b = 5

Hypotenuse c = x

Step 3: Solve for x

Answer: 61

Step-by-step explanation:

25+36=x

61=x

x=61

Answer:

I think that it would be 9 because it is less than ten and can be divided equally by 3.

Step-by-step explanation:

Let the parts be 2x, 3x and 5x.

Sum= 25000

Therefore,2x+3x+5x=25000

10x=25000

x=25000/10

x=2500

Therefore, parts:-

1. 2×2500=5000

2. 3×2500=7500

3. 5×2500=12500

Answer:

5000, 7500, 12500

Step-by-step explanation:

[tex]2 + 3 + 5 = 10[/tex]

[tex]25000[/tex] ÷ [tex]10[/tex] = [tex]2500[/tex]

[tex]2500[/tex] × [tex]2 = 5000[/tex]

[tex]2500[/tex] × [tex]3 = 7500[/tex]

[tex]2500[/tex] × [tex]5 = 12500[/tex]

[tex]\therefore[/tex] [tex]25000[/tex] will split into [tex]5000[/tex], [tex]7500[/tex], and [tex]12500[/tex].

To check if the answer is correct, you can add the values up and see if they sum up to [tex]25000[/tex]:

[tex]5000 + 7500 + 12500 = 25000[/tex]

Hope this helps :)

Answer:

$3.50

Step-by-step explanation:

14 is double 7

So the price should be double

1.75 x 2 = 3.5

(Assuming there's no base fee and the charge is purely for minutes)

Answer:

Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don't know the perimeter, calculate it from the side length: p = 5s, where s is the side length.

Step-by-step explanation:

Answer:

I think base times hight