HELP ME PLEASE!!!!!!!

Answer:

The approximate value of [tex]f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}[/tex] is 1.366.

Step-by-step explanation:

Let [tex]f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}[/tex], we proceed to simplify the formula until a form based exclusively in sines and cosines is found. From Trigonometry, we shall use the following identities:

[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (1)

[tex]\tan\theta = \frac{\sin\theta}{\cos \theta}[/tex] (2)

[tex]\cos^{2}+\sin^{2} = 1[/tex] (3)

Then, we simplify the given formula:

[tex]f(\theta) = \frac{\left(\frac{1}{\cos \theta} \right)\cdot \left(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta}\right) }{1+\frac{\sin^{2}\theta}{\cos^{2}\theta} }[/tex]

[tex]f(\theta) = \frac{\left(\frac{1}{\cos^{2} \theta} \right)\cdot (1+\sin \theta)}{\frac{\sin^{2}\theta + \cos^2{\theta}}{\cos^{2}\theta} }[/tex]

[tex]f(\theta) = \frac{\left(\frac{1}{\cos^{2}\theta}\right)\cdot (1+\sin \theta)}{\frac{1}{\cos^{2}\theta} }[/tex]

[tex]f(\theta) = 1+\sin \theta[/tex]

If we know that [tex]\sin \theta =\frac{\sqrt{3}-1}{2}[/tex], then the approximate value of the given function is:

[tex]f(\theta) = 1 +\frac{\sqrt{3}-1}{2}[/tex]

[tex]f(\theta) = \frac{\sqrt{3}+1}{2}[/tex]

[tex]f(\theta) \approx 1.366[/tex]

Answer:

None

Step-by-step explanation:

If i'm being honest i don't remember why it was none when I took the quiz but I had a reason for choosing none and its correct. I promise

Answer:

none

Step-by-step explanation:

sorry I know everyone already knows but I could use the 20 points

Answer:

since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes

Answer:

The answers are at A, D, and E

Step-by-step explanation:

It's right on Edge

Answer:

hes right ↑

Step-by-step explanation:

40% was the percentage change in price.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, The original price of the shirt is $50 but you paid $30 for it on sale

From the general formula of percentage change:

Percentage change = change in value / original value * 100

In our case,

Original value = 50

Change in values = 50 - 30

Change in values = 20

Percentage change = 20/50 * 100

Percentage change = 40

Therefore,  the percentage change in price was 40%.

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Answer:

c. -2x+10

Step-by-step explanation:

distributive property

(-2)x-(-2)5= -2x-(-10)

keep change change

-2x+10

where the answer is -2x+10

Answer:

-2x-10

Step-by-step explanation: so WE CAN SLOVE THIS EQUATION BY distrubutive property, -2 times x = -2x, we got 1 part of the equation. Now we distrubute -2 and -5.

-2 x -5 = -10.

So we get = -2x-10

Answer:

y=3.7+0.15(1)

Step-by-step explanation:

Note we are not given the options to choose from in this question, let us solve for the answer directly

Step one:

given data

The puppy's weight increases by 15% each week for the first 6 months

=0.15

The puppy currently weighs 3.7 pounds

Step two:

let the number of weeks be x

and the weight after x weeks be y

so

y= 3.7+0.15x

after 1 week the expression to calculate the weight is

y=3.7+0.15(1)

Answer: D) 504

Step-by-step explanation:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

6! = 6 x 5 x 4 x 3 x 2 x 1

Using this, we can rewrite the initial expression as:

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 6 x 5 x 4 x 3 x 2 x 1

We can see that 6 x 5 x 4 x 3 x 2 x 1 is in both the numerator and the denominator, so we can cancel it out, leaving us with 9 x 8 x 7 which equals 504.

Answer:

-x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

(x + 5) + (-4x - 2) + (2x - 1)

Step 2: Simplify

Answer:

258

Step-by-step explanation:

Answer:

slope is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

About 145 miles.

Explanation:

Assume that the distance from the center of the earth to any point on the earth's surface is 4,000 miles.

Step-by-step explanation:

r

=

4000

v

=

13796

5280

(divide by 5280 to convert to miles)

Using Pythagorean's Theorem:

a

2

+

b

2

=

c

2

a

2

+

4000

2

=

(

4000

+

13796

5280

)

2

a

2

=

(

4000

+

13796

5280

)

2

−

4000

2

a

=

√

(

4000

+

13796

5280

)

2

−

4000

2

≈

144.6

Answer:

About 145 miles.

Explanation:

Assume that the distance from the center of the earth to any point on the earth's surface is 4,000 miles.  

Step-by-step explanation:

r  =  4000

v  =  13796/5280

(divide by 5280 to convert to miles)

Using Pythagorean's Theorem:

a^2  +  b^2  =  c^2

a^2  +  4000^2  =  (4000  +  13796  /5280)^2

a^2  =  (4000  +  13796   /5280)^2  −  4000^2

a  =  √(4000  +  13796   /5280)^2  −  4000^2  ≈  144.6

This is just a shrunk down version so it is easier to read. All credit goes to the other answer.

Answer:

p=11/4

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable  p .

Answer:

x = 3130/3

Step-by-step explanation:

3125 -5 +10 = 3X

3130 = 3x

x = 3130/3   or 1043 1/3

All the lines given represent functions except the vertical line given which is attached below.

In a function, every x-values has only one possible y-value. Two x-values can have the same y-value but one x-value cannot have two different y-values. That is why a vertical line graph cannot in anyway represent a function.

An horizontal line graph is a constant function graph. Thus, all the lines represent functions except the vertical line that is attached below.

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Answer:

the diagonal line is a function and the line going from left to right is a function :)

Step-by-step explanation:

.............................. us to be a good day at work and I don't know what to do it again and again and again and again and again and again and again and again

Answer:

The expected growth is 17.2%

Step-by-step explanation:

Let us have a present initial value of 500

we then proceed to get the value after 4 years

We use the compound interest formula to get the amount

That will be;

A = P( 1 + r/n)^nt

P = 500

r = 4% = 4/100 = 0.04

n is 2: semi annually means twice per year

t is 4

So

using the formula, we have that;

P = 500(1 + 0.04/2)^(2 * 4)

= 500(1.02)^8

= 586 approximately

So the percentage growth rate is as follows

(586-500)/500 * 100

= 86/500 * 100 = 17.2%

Answer:

The answer is below

Step-by-step explanation:

Two polygons are said to be congruent if they have the same size and shape that is their corresponding angles and sides are equal.

Hence since Quadrilaterals ABCD is congruent to EFGH, then their corresponding angles and sides are equal.

In quadrilateral ABCD:

∠A + ∠B + ∠C + ∠D = 360° (sum of angles in a quadrilateral)

Substituting:

47 + 39 + 112 + ∠D = 360

∠D + 198 = 360

∠D = 360 - 198

∠D = 162°

The image of Quadrilaterals ABCD and EFGH is not given but let us assume that they have the same orientation, hence:

∠A = ∠E = 47°

∠B = ∠F = 39°

∠C = ∠G = 112°

∠D = ∠H = 162°

Answer: The answer is C

Step-by-step explanation:

Answer: w = -9/4

Step-by-step explanation:

Answer:61=9

Step-by-step explanation:

Answer:

No picture?

Step-by-step explanation:

i need a picture to anwser

Answer:

-2x + 3y + z + 1

Step-by-step explanation:

Answer:

d. 80:8:3

Step-by-step explanation:

The question

For each $ 200 spent by the research department, sales department spends $ 20.For every $ 400 spent by the sales department the advertising department spends $ 150. The triple ratio of the money spent by the research department to the money spent by the sales department to the money spent by the advertising department fan be expressed as 2:1:5 b. 20:4:1 c. 40:8:3 d. 80:8:3

Research department : Sales Deptt: Advert Deptt

        $ 200                    :  $ 20

           $4000                :   $ 400       :     $150    

( multiplying 400 with 10 to get the research department proportion)

            400                    : 40              :15            (dividng by 10)

             80 :                      8 :                 3           ( dividing by 5)

Here we see that the ratio between the research department and the sales department is 10 :1 ( 200: 20)    

Keeping the same ratio for the proportion given 400: 150  the $ 400 is multiplied with 10 to get the proportion of the research department.

Then we obtain 4000: 400: 150 which is reduced first by dividing with 10 and then 5 .

Answer:

what? it seems like you just spammed anything from the web O_o

Step-by-step explanation:

Answer:

0.0739 kilometers is the answer

Answer: meter = 73.9 ⇌ kilometer = 0.0739

Step-by-step explanation:

73.9 meters = 0.0739 kilometer

Formula: divide the value in meters by 1000 because 1 kilometer equals 1000 meters.

So, 73.9 meters = 73.9/1000 = 0.0739 kilometer.

Hope that help you out :)

Answer:

8

Step-by-step explanation:

Answer:

8 cups of water

Step-by-step explanation:

2 cups of water = 3 cups of flour

x cups of water = 12 cups of flour

12/3=4

2x4= 8

Answer:

ok

Step-by-step explanation:

yes