If ∧ ASC ≅ ∧ KSC then ∠8 is congruent to which angle?

( 1 - cos²x ) secx

=> sin²x . secx

Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .

=> sin²x [ 1/cosx ]

Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .

=> sinx [ sinx/cosx ]

Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].

=> sinx tanx

Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .

The proof of the identity that justifies that ( 1 - cos²x ) secx equals sinx(tanx) has been described below with statements and rules.

Statement 1; ( 1 - cos²x ) secx

This is given

Statement 2; sin²x · secx

Rule 1;  From trigonometric identities, we know that;

sin²x + cos²x = 1,

Thus; cos²x = 1 - sin²x

Thus; ( 1 - cos²x ) secx = sin²x · secx

Statement 3; sin²x (1/cosx)

Rule 2;  The rule here according to trigionometric identities is that; secx = 1/cosx. Thus; secx = 1/cosx .

Statement 4; sinx (sinx/cosx )

Rule 3;  The rule here is that sin²x can be expressed as (sinx * sinx)

Thus, we have; sinx . sinx (1/cosx) = sinx (sinx/cosx ).

Statement 5; sinx(tanx)

Rule 4;  The rule here is that; sinx/cosx = tanx.

Thus;  sinx (sinx/cosx ) gives us sinx(tanx)

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Susan bought 340.194 grams of candies

Answer:

It is 340.194

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

49

Step-by-step explanation:

m^2-14m+c

Take the -14

Divide by 2

-14/2 = -7

Square it

(-7)^2 = 49

Add it to each side

m^2-14m+49

The value of c is 49

Answer:13 1/2

Step-by-step explanation:

Answer:

The probability answer is 69/100

Step-by-step explanation:

The probability of waiting 2 minutes or longer = 0.3= (3/10)

The probability of not waiting longer = 1 - (3/10) = (7/10)

For the man,

P(waiting 2 mins or longer) = 3/10

For the woman,

P(waiting 2 mins or longer) = 3/10

Therefore,

The probability that one or the other or both will wait 2 minutes or longer

= P(man waits 2 mins or longer) or P(woman waits 2 mins or longer) or P(both waits 2 mins or longer)

= (3/10) or (3/10) or ( (3/10) and (3/10) )

= (3/10) + (3/10) + ( (3/10) X (3/10) )

= (6/10) + (9/100)

= (69/100)

Answer:

36 bowls of cereal.

Step-by-step explanation:

just multiply 12 by 3

Answer:

WHY BRO EAT SO MUCH CEREAL IM DEAAAAAADDD

Step-by-step explanation:

nkjenkjfaekjvbsajkbvjks kjan

Answer:

2.94

Step-by-step explanation:

the clue is in the question, just times the numbers together

Step-by-step explanation:

thats the ans okay......

Answer:

Easy b

Step-by-step explanation:

Because

Answer:

34

Step-by-step explanation:

Answer:

34 questions

Step-by-step explanation:

c is the number of correct answers

if this is wrong just tell me and I'll redo it

Hope this helps

Answer:

10

Step-by-step explanation:

if its originally y=14 and x=5, if u switch y to 28 it would be 2x as much as 14 so u would multiply 5x2 aswell. hope i helped!!

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

[tex]z=\frac{100000-72641}{30000}=0.91[/tex]

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

[tex]z=\frac{100000-72641}{30000/\sqrt{5} }=2.04[/tex]

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

[tex]z=\frac{100000-72641}{30000/\sqrt{10} }=2.88[/tex]

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

Answer:

The value of c is 8.

Step-by-step explanation:

When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :

[tex]p(x) = 4 {x}^{3} + c {x}^{2} + x + 2[/tex]

[tex]p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2[/tex]

[tex]4( - 8) + 4c - 2 + 2 = 0[/tex]

[tex] - 32 + 4c = 0[/tex]

[tex]4c = 32[/tex]

[tex]c = 32 \div 4[/tex]

[tex]c = 8[/tex]

Answer:

B

Step-by-step explanation:

Answer:

first you correct like terns

Answer:

The slope is 1/6

Step-by-step explanation:

The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

From this, we know that 1/6 is the slope because it is plugged in for m.

Hope this helps! :)

Answer:

The slope is 1/6

Explanation:

The slope is always the coefficient of X

Answer:

group 18

Step-by-step explanation:

Answer:

Answer. 18

Step-by-step explanation:

took test

Answer:

is it not the plus sign? (+)

Step-by-step explanation:

Answer:

my names emily too!!!!

Step-by-step explanation:

Answer:

17.6 miles

Step-by-step explanation:

speed = distance/time

distance = speed * time

We multiply the speed of each one by the time, 1 hour, to find the distance each one walked in 1 hour.

Kiran: 3 mph * 1 h = 3 miles

Clare: 3.4 mph * 1 h = 3.4 miles

The total distance they walked is 3 miles + 3.4 miles = 6.4 miles.

After 1 hour, they are 6.4 miles closer than they were at the beginning of the walk.

24 miles - 6.4 miles = 17.6 miles

Answer: 17.6 miles

Answer:

hm okay

Step-by-step explanation:

Answer:

Step-by-step explanation:

lets eliminate the parenthesis,

-2x-2=2x-2

-4x=0

x=0

Answer:

15, 30, 45, 60, and 75

Step-by-step explanation:

15x1

15x2

15x3

15x4

15x5

I hope this helps you

Answer:

Well thank you so much you too

Step-by-step explanation:

Answer:

u too homie!

Step-by-step explanation:

i want free points

Answer:

y=2x-11

Step-by-step explanation:

-1=2(5)+b

-1=10+b

-11=b

Answer:2.25

Step-by-step explanation:it just is

Answer:

Step-by-step explanation:

question one: his mom will pay $2.1 in taxes

thats all i can answer