Match the proper noun to the common noun.


1. Uncle Peter
automobile
2. January
president
3. Jesse Owens
relative
4. William Shakespeare
author
5. Sunday
athlete
6. Abraham Lincoln
month
7. Chrysler
day
X

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex]     [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]    [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information:

[tex]\displaystyle cos56=\frac{a}{13}[/tex]

Isolate a by multiplying both sides by 13:

[tex]13\displaystyle cos56=a[/tex]

Solve using a calculator:

[tex]a=7.3[/tex]

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]

In this case, we will use the inverse sine ratio:

[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]

Solve using a calculator:

[tex]\displaystyle \theta=39[/tex]

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

Answer:

y = -12/7x + 71/7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - 5 / 10 - 3

-12/7

y = -12/7x + b

5 = -12/7(3) + b

5 = -36/7 + b

71/7 = b

Answer:

We need a question

Step-by-step explanation:

answer: the inequality is 3+7(x)<24

x=x < 3 2/7

Step-by-step explanation:

because...

3 + 7x < 26

7x < 23

x < 23/7

x < 3 2/7

Answer:

More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24

3x7=21 and that's 3 less than 24

The answer is 3

Step-by-step explanation:

Answer:

yes (6,5) is a solution

Step-by-step explanation:

Answer:

Ig This Would Be The Answer

Step-by-step explanation:

Reorder 73 7 3 and 2x3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .

Answer:

x = 1

Step-by-step explanation:

4x+5=x+8

4x-x = 8-5

3x=3

x=1

Answer:

1

Step-by-step explanation:

4*1 = 4

4+5 =9

1+8=9

9=9

The cost per box of cookies is $3.75

The total amount Hannah raised from the sales of cookies is $52.50

The total amount Mallory raised from the sales of cookies and donations is $88.50

In order to determine the cost per box of cookies, take the following steps:

The first step is to determine the total sum of the boxes sold by Hannah and Mallory

Sum of the boxes sold = 14 + 22 = 36 boxes

36 boxes were sold by Hannah and Mallory

The second step is to determine the total cost of the 36 boxes sold.

Total cost of 36 boxes = total amount raised - donation

$141 - $6 = $135

The third step is to determine the total cost of each box

cost of one box = total cost of 36 boxes / total number of boxes

135 / 36 = $3.75

The total amount Hannah raised = cost per box x number of boxes she sold

14 x $3.75 = $52.50

The total amount Mallory raised = amount raised from the sale of cookies + donation

amount raised from sales = cost per box x number of boxes she sold

22 x $3.75 = $82.50

Total amount = $82.50 + $6 = $88.50

A similar question was answered here: https://brainly.com/question/10915476?referrer=searchResults

Step-by-step explanation:

(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)

-x^3+x^2-1

Answer:

Step-by-step explanation:

The best reason for doing more background research after making an observation and before forming a hypothesis is to prevent making the same mistakes made in a prior experiment. It is to make sure that you are able to see the problems of a research and make an experimental design that will minimize the errors?

Answer:

Step-by-step explanation:

1) 6  and -5

x₁ + x₂  = 6 +(-5) = 1

x₁* x₂   = 6*(-5) = -30

x² -(x₁ + x₂)x + (x₁* x₂)=0

x² - x  - 30 = 0

2) 4 and 7

x₁ + x₂  =4 + 7 = 11

x₁* x₂   = 4*7 = 28

x² - 11x + 28 = 0

3) 1 and -10

x₁ + x₂  = 1 +(-10) = -9

x₁* x₂   = 1*(-10) = -10

x²  - 9x - 10 = 0

4) -9 and 0

x₁ + x₂  = -9 + 0 = -9

x₁* x₂   = 0

x² - (-9)x  = 0

x² + 9x = 0

5)2 and 6

x₁ + x₂  = 2 + 6 = 8

x₁* x₂   = 2*6 = 12

x² -8x + 12 = 0

8) 2 +√3  and 2 - √3

x₁ + x₂  = 2+ √3 + 2 - √3 = 4

x₁* x₂   = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1

x² - 4x + 1 = 0

Answer:

1/64

Step-by-step explanation:

4x4^3/4^7

4^-3

1/4^3

1/64

Answer:

1 integer

2 none

3integer

4irrational

5rational

Pythagoras Theorem

BC = 3 cm

Step by step explanation :

» Attached «

Answer:

D

Step-by-step explanation: i <3 satistics so much

Answer:

Given A point (9,-1) is first translated by rule T-4,3 : ( x,y ) goes ( x - 4 , y+ 3) followed by rotation of 270°

rule of rotation of 270° : ( x , y ) goes ( y,-x )

image of ( 9 , -1) after translation :

( 9 - 1) goes (-9,-1+3)=(-9,2)

then , image after rotation of 270° :

( -9,2 ) goes (2,9 p

hence , the image point of ( 9,-1 ) (9,-1)

after the transformation T-4,3 and rotation of 270°i is ( 2,9 ).

Step-by-step explanation:

hope it helps

Answer:

6× 10^3 is the standard form of 6000

Answer:

I write 6000 , Six thousand in standard form.

Answer:

7350

Explanation:

3763.2/0.512 can be determined by simply dividing.

Answer:

a

Step-by-step explanation:

just cuzyfhyf

On a budget of $150, Mrs. Jennings will only be able to take 25 kids to the museum.

Mrs. Jennings has $150 in total and has to spend it on the bus and getting the kids into the museum.

After she spends on the bus, she will be left with:

= Budget - Cost of bus

= 150 - 100

= $50

She then spends $2 per kid. The total number of kids she can bring into the museum is:

= Amount remaining/ Cost per kid

= 50 / 2

= 25 kids

In conclusion, she can only take 25 kids.

Find out more at https://brainly.com/question/139108.

Step-by-step explanation:

From what I see, and this Is all I'm going to help you with, you would divide each number of x by -4. If you divided 12 by -3 you would get the answer of -4. I dont really have much context of what you're doing so this is all I can help with.

Answer:

$2060

Step-by-step explanation:

2800+300-150-175-115= $2060

Answer:

2860

Step-by-step explanation:

2800+300-150+200-175-115=2860

Answer:

15 hours

Step-by-step explanation:

Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay

We can set up an equation for this question:

t = 4h + x

Now plug in 120 for x

t = 4h + 120

Now we set up Marie's pay:

m = 12h

Since Thomas and Marie made the same amount of money over the same number of hours, we can say:

4h + 120 = 12h

       120 = 8h

           h = 15

This means they both worked for 15 hours.

Answer:

[tex]f(x) = {sec}^{ - 1} x \\ let \: y = {sec}^{ - 1} x \rightarrow \: x = sec \: y\\ \frac{dx}{dx} = \frac{d(sec \: y)}{dx} \\ 1 = \frac{d(sec \: y)}{dx} \times \frac{dy}{dy} \\ 1 = \frac{d(sec \: y)}{dy} \times \frac{dy}{dx} \\1 = tan \: y.sec \: y. \frac{dy}{dx} \\ \frac{dy}{dx} = \frac{1}{tan \: y.sec \: y} \\ \frac{dy}{dx} = \frac{1}{ \sqrt{( {sec}^{2} \: y - 1}) .sec \: y} \\ \frac{dy}{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \frac{d( {sec}^{ - 1}5x) }{dx} = \frac{1}{ |5x | \sqrt{25 {x }^{2} - 1} }\\\\y=arccos(\frac{1}{x})\Rightarrow cosy=\frac{1}{x}\\x=secy\Rightarrow y=arcsecx\\\therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} }[/tex]

Answer:

15/20

Step-by-step explanation:

Divide your denominator by your previous/compared denominator (20/8) to find the number as your numerator. Take the found numerator (2.5) and multiply it times the compared numerator (2.5 x 6) giving your 15/20.

Hopes this helps!

Answer:

angles 5, 1, and 3

Answer:

9×3

and

-26

Step-by-step explanation:

9×3=27

27+-26