A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin θ and cos θ. Start with what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response, include all steps and calculations.



B. With respect to , the adjacent side of the triangle has a length of 6 cm and the opposite side has a length of 3 cm. Find the value of the hypotenuse . Then, use these values to confirm the Pythagorean Identity for this triangle.

Answer:

You mean like this?

[tex]1) \: \: 28 \times 30 {cm}^{2} = 76 {cm}^{2} \\ 2) \: \: 2(19 + 39) \times 16 = 1856 {cm}^{2} \\ 3) \: \: 15 \times 16 {cm}^{2} = 240 {cm}^{2} \\ 4) \: \: 10 \times 24 {cm}^{2} = 240 {cm}^{2} [/tex]

hope it helps you ❣❣

Mark me as brainliest

Answer:

77.5506% I believe is the answer unrounded.

77.55% rounded to the nearest hundredth.

77.6% rounded to the nearest tenth.

Step-by-step explanation:

356 = 100%

(356 - 27.23) - 52.69

328.77 - 52.69

276.08

Answer:

81.

Step-by-step explanation:

3⁵×3-¹​

= 3^(5 + -1)

= 3^4

= 81.

Answer:

7. f=35

8. r=4.9

9. q=23

Explanation:

7. f-22=13

+22 on both sides

f=35

8. r-3.2=1.7

+3.2 on both sides

r=4.9

9. q+8=25

-8 on both sides

q=23

Hope this helps :D

Answer:

[tex]\frac{1}{4k^3}[/tex]

Step-by-step explanation:

It's already in a form that only ha positive exponents.  Just to state it though you could rewrite it as [tex]k*(4k^{4})^{-1}[/tex] or [tex]k*4^{-1}*k^{-4}[/tex]  The question asks for positive exponents though so yu don't need to do that.

You also need to know [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] so in this case [tex]\frac{k}{k^4}=\frac{k^1}{k^4} =k^{1-4}=k^{-3}=\frac{1}{k^3}[/tex]

so [tex]\frac{k}{4k^4}=\frac{1}{4}*\frac{k}{k^4}=\frac{1}{4}*\frac{1}{k^3}=\frac{1}{4k^3}[/tex]

Answer:

yes, school is hard

thanks for points

have a good day ....❤

Answer:

28260 cubic cm

Step-by-step explanation:

Given,

Diameter of the cylinder = 30cm

So, radius of the cylinder = 30cm ÷2 = 15 cm

Height of the cylinder = 40 cm

There, volume of the cylinder,

[tex] = \pi {r}^{2} h[/tex]

[tex] = 3.14 \times 15cm \times 15cm \times 40cm[/tex]

[tex] = {28260cm}^{3} [/tex]

Answer:

diameter=30cm

radius=30/2=15

volume of cylinder = pi×r²×h

volume of cylinder=3.14×15²×40cm

volume of cylinder=28,260cm³

Answer:

B, D

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

So sorry if this is wrong but to find the probability you must add all of your things (oars) together then find what the chance of getting that is so 4 oak 5 ash in 2010+4 oak and 5 ash in 2011 is 18 oars total and there was 5 ash in 2011 so the answer is 5/18

Answer:

(1-x2)× (2-3x)2

(1-x2) ×(8-36x+54x2-27x3)

8-36x+54x2-27x3-8x2+36x3-54x4+27x5

8-36x+46x2+9x3-54x4+27x5

Answer: 27x5-54x4+9x3+46x2-36x+8  

Step-by-step explanation:

step 1- expand the expression

step 2- remove the parentheses

step 3- collect like terms

step 4- reorder the terms

Answer:

Riley is correct

Step-by-step explanation:

Luca eats 3/6 of his submarine sandwich. Riley eats 5/6 of his submarine sandwich. Riley said he ate 2/6 more than Luca.

To find out the fraction of how much more Riley ate than Luca, we carry out Subtraction operation

= Fraction of what Riley ate - Fraction of what Luca ate

= 5/6 - 3/6

Lowe's Common Denominator = 6

= 5 - 3/6

= 2/6

Therefore, Riley is correct

Answer:

1/2 or .5

Step-by-step explanation:

Hey There!

So the first step of this problem is to get y on one side and everything else on the other side

to do so we use inverse operations

so to get rid of the 2x we subtract 2x from each side

we would end up with -4y=5-2x

now want to get rid of the -4 on the y

to do so we would divide each side by -4

we would end up with

[tex]y=\frac{1}{2}x -\frac{4}{5}[/tex]

so we can conclude that the slope is 1/2 or .5

Answer:

Image please

Answer:

option c is correct

Step-by-step explanation:

Hope it helps you

Answer:

answer is c

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

trust me js divide

Answer:

N = 675 - 35h

Step-by-step explanation:

She reads 35 pages per hour.

In 1 hour, she reads 35 * 1 pages.

In 2 hours, she reads 35 * 2 pages.

In h hours, she reads 35 * h, or 35h, pages.

The book has 675 pages. The number of pages left to read is the total number of pages minus the pages she already read.

The number of pages left to read is 675 - 35h.

Equation:

N = 675 - 35h

Answer:

Step-by-step explanation:

arc KL = 60°

arc LNK = 360° - 60°

arc NJK = 180°

angle JQN = 60°

arc JN = 60°

arc JM = 60°+55° = 115°

arc MN = 55°

arc MKN = 360° - 55° = 305°

arc JML = 180°

angle MQL = 180° - 55° - 60° = 65°

arc ML = 65°

arc LN = 55° + 65° = 120°

Answer:

[tex]\frac{9}{47}: 1[/tex]

Step-by-step explanation:

you can divide both sides by 2.35 to get the right side to be 1:

[tex]4.5: 2.35\\\frac{9}{47}: 1[/tex]

Answer:

1 day because he has 100 machines not just one

Step-by-step explanation:

Answer:

6 markers

Step-by-step explanation:

1) Find the number of red markers

Firstly, we know that Ms. Peters has a total of 36 markers. There are 3 colours within these 36 markers. Because she has an equal number of each colour, divide 36 by 3 to find the number of red markers.

36÷3=12

Therefore, Ms. Peters has 12 red markers.

2) Find the number of red markers in each group

Ms. Peters then divides the red markers into 2 equal groups. Because we now know that there are 12 red markers, divide 12 by 2 to find this number.

12÷2=6

Therefore, there are 6 red markers in each group.

I hope this helps!

Answer:

x = 9 + 35p

x must be less than or equal to 350 (bottom)

The red marbles are 3/10 of the total.

The blue ones are 5/10 of the total.

The green ones are 2/10 of the total.

Of these, 5/10=1/2=(1×4)/(2×4)=4/8

Therefore, five tenths is equivalent to four eighths.

Answer:

3.14

Step-by-step explanation:

Answer:

the answer is 6.5 because the left side would be 44 and the right side would be 46.5

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation:

it's width is 6

it's length  is 12

it couldn't be a square

Answer:

Step-by-step explanation:

square has 4 sides

area is 64

64 divided by 4 is 16

the length is 16 of each side

But if you have to subtract 6 from it then it is 22.

22-6=16

Answer:

Step-by-step explanation:

If 150 people attend and 45 are male.

females=150-45=105 so

m:f=45:105 (the gcf is 15 so we simplify by dividing each term by 15)

m:f=3:7