3
Find the value of x.
34°
o
27°

Given:

[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta [/tex]

To prove:

The given statement.

Proof:

We have,

[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta[/tex]

Taking LHS, we get

[tex]\text{LHS}=\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}[/tex]

Taking LCM, we get

[tex]\text{LHS}=\dfrac{(1+\sin \theta)^2+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{(1)^2+2\sin \theta +\sin^2 \theta+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex]    [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]\text{LHS}=\dfrac{1+2\sin \theta +1}{\cos \theta(1+\sin \theta)}[/tex]    [tex][\because \sin^2 \theta+cos^2\theta =1][/tex]

[tex]\text{LHS}=\dfrac{2+2\sin \theta}{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{2(1+\sin \theta)}{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{2}{\cos \theta}[/tex]

[tex]\text{LHS}=2\sec \theta[/tex]         [tex][\because \sec\theta=\dfrac{1}{\cos \theta}][/tex]

[tex]\text{LHS}=\text{RHS}[/tex]

Hence proved.

Answer:

ayy I gotchuu

Step-by-step explanation:

theres gonna be two solutions

a negative then positive

positive:

|3x - 9| = 12

3x-9=12

3x=21

x=7

negative:

3x-9=-12

3x=-3

x=-1

Answer:

7 & -1

Step-by-step explanation:

Assuming you want the value of x...

Since the equation is wrapped in an absolute value, we must get x for both the positive and negative value.

Positive x

[tex]3x-9=12\\3x=21\\x=7[/tex]

Negative x

[tex]3x-9=-12\\3x=-3\\x=-1\\[/tex]

Both of these will equal 12 when tested.

[tex]|3(-1)-9|=12\\|-3-9|=12\\|-12|=12\\12=12\\[/tex]

[tex]|3(7)-9|=12\\|21-9|=12\\12=12\\[/tex]

Answer:

y-intercept = (0, 8)

axis of symmetry= -b/2a

Step-by-step explanation:

Also when you want something to be squared use this symbol ^

Answer: A. 85,000(1+0.012)48 +$1081.7751 [1-(1+0.012)48]

0.012

Step-by-step explanation:

Answer: Your real answer is D

Step-by-step explanation:

The start is 7 to the right of 2

Answer:

the answer is 0

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

the different planes are either negitive or positive. since one goes to positive and negative, for example, 5 is greater that -9.

Answer:

6.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

i rounded the 40.5 to 41.

After adding 5 to both sides what did Michele get? Let's see

[tex]3x-5 + 5 = -10 + 5\\3x= -5[/tex]

If she wants to find the value of [tex]x[/tex] then she needs to have only the variable [tex]x[/tex] on the left hand side. What she must do so that [tex]3x[/tex] becomes just [tex]x[/tex]?  What do you have to do to the number 3 so it becomes a 1? That's right, she must divide by 3!

So, after dividing both sides by 3:

[tex]\frac{3x}{3} = \frac{-10}{3} \\\\\boxed{x=\frac{-10}{3}}[/tex]

Thus, the correct answer is letter B

Answer:

greater than

Step-by-step explanation:

The standard deviation of a distribution σ = [tex]\sqrt{sum(x - mean)^2/ n}[/tex]

where x is the score of each student

Adding 5 to 10 student scores would be = x+5 - mean

increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.

Answer:

Y= -1/4x -1  3/4

or Y= -0.25x -1.75

Step-by-step explanation:

I got this by finding the distance between the points.

The distance is 8x and -2y

Divide that by 2 and you get 4 and -1 or -4/1

Then knowing that the slope is -0.25, you know that for each square the line goes down .25  That is how I found the y intercept.

In conclusion Y= -0.25x -1.75

Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Step-by-step explanation:

Given that;

X has normal distribution has mean µ = 3

standard deviation σ = 2  

now

P( x< 4) = P( (x-µ)/σ /(3-4)/5)

= P( z < -0.5 )

= 0.3085  {from the z-table}

X has binomial distribution with n = 8 and p = 0.3085

so P(x=5)

P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵

= 0.0517  ≈ 0.05

Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Answer: 5 sides

Step-by-step explanation:

Answer: 2.70

Step-by-step explanation: 5-2.30=2.70

Answer:

$2.70

Step-by-step explanation:

alright dig this

5-2.3=2.7

my source? a calculator

also im going to assume that sales tax doesn't exist in this problem heehoo

Answer:

The answer would be

Negative

Answer:

Negative

Step-by-step explanation: If there are a odd number of negative sigs, the answer is negative. If there are a even amount of negative symbols, the answer is positive and there are 3 negative symbols, so the answer is NEGATIVE

Answer:

1.6 billon

Step-by-step explanation:

1.6 billon

Answer:

B

Step-by-step explanation:

i think it is

Answer:

well just give it to him

i would yell lol!!

i yell alot lol...............

Answer:

x = 4 and y = 15

Step-by-step explanation:

Opposite sides of parallelogram are equal

Opposite sides of parallelogram are equaltherefore,

13x + 15 = 19x - 9

15or 15 + 9 = 19x - 13x

or 24 = 6x

or 24÷6 = X = 4

adjacent angles = 180°

therefore,

(10y - 37) + (4y + 7) = 180

or 10y - 37 + 4y + 7 = 180

or 14y = 180 + 37 - 7

or 14y = 210

or y = 210 ÷ 14

or. y = 15

Answer:

It look right to me

Step-by-step explanation:

Answer:

Hey there, I have this imformation, that might help you

Step-by-step explanation:

whats the answer

Step-by-step explanation:

No, it cannot. You will need a microscope in order to see DNA.

One cell of DNA can not be viewed by the naked eye, but when gathered in thousand of cells, it can.

So its no

Answer: m = 2b/v

Step-by-step explanation: