Solve the equation.
pls help

Answer:

cos(θ - φ) is -240/289

Step-by-step explanation:

The given parameters are;

The location of θ = Quadrant III

The location of φ = Quadrant I

cos(θ) = -8/17

cos(φ) = 15/17

By trigonometric identities, we have;

cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)

Given that 'θ' is in quadrant III, we have;

sin(θ) is negative

By Pythagoras' theorem, we have;

∴ sin(θ) = -√(17²- 8²)/17 = -15/17

Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;

sin(φ) = √(17² - 15²)/17 = 8/17

∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699

Answer:

x=27

Step-by-step explanation:

Answer:

The answer would be 27

Step-by-step explanation:

Times three by nine to get the value of x.

Answer:

first one is 16,956m^2 second one is 6 in

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line

m = [tex]\frac{5-3}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 5 ) , then

5 = 1 + c ⇒ c = 5 - 1 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

Answer: 10 peaches and 5 bananas

Step-by-step explanation:

To solve the problem increase the cost by adding more peaches and less by adding more bananas

7 peaches = 3.50

8 bananas = 3.20 + 3.50 = 6.70

We need 30 more cents so add three more peaches

10 peaches = 5

5 x 0.4 = 2

2 + 5 = 7

Answer:

2x + t - 1 =14

Step-by-step explanation:

give me brainliest plz and hope this helps also i am very good at math so that is a reassurance that this is correct

Answer:

lk

Step-by-step explanation:

on

Answer:

which part bro I need to know at least

Answer:

D: Approximately Normal

Step-by-step explanation:

I got it right on edg.

Answer:

The correct solution is "n = 16".

Step-by-step explanation:

The given equation is:

⇒  [tex]\frac{1}{2} n-3=5[/tex]

On adding "3" both sides, we get

⇒  [tex]\frac{1}{2} n-3+3=5+3[/tex]

⇒  [tex]\frac{1}{2}n=8[/tex]

On applying cross multiplication, we get

⇒  [tex]n=8\times 2[/tex]

⇒  [tex]n=16[/tex]

Answer:

[tex](x-12)^2[/tex] & [tex] 144[/tex]

Step-by-step explanation:

The Equation given to us is ,

[tex]\implies x^2 -24x + \cdots [/tex]

Here we need to find the value of the blank such that it is a perfect square.

This can be in the form of ,

[tex]\implies (a-b)^2 = a^2+b^2-2ab [/tex]

On looking at equation ,

[tex]\implies x^2 -2(12)x + \cdots [/tex]

For the whole equation to be whole square , the number that should replace the blank is 12² .

[tex]\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2[/tex]

Therefore 144 should be added .

Answer:

8 cm

Step-by-step explanation:

:)

☁️ Answer ☁️

5. IS E (none of these)

Because I got:

-125y^5/162x

6. X = 5/3

Hope it helps.

Have a nice day noona/hyung.

Answer:

Answer:

Annual payument (PMT)= $1,663.19

Step-by-step explanation:

Giving the following information:

Loan (PV)= $250,000

Monthly interest rate (i)= 0.07/12= 0.005833

Number of periods (n)= 12*30= 360 months

To calculate the monthly payment, we need to use the following formula:

Annual payument (PMT)= (PV*i) / [1 - (1+i)^(-n)]

Annual payument (PMT)= (250,000*0.005833) / [1 - (1.005833^-360)]

Annual payument (PMT)= $1,663.19

Answer: Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. ) What is the total change in Quinn's score?

hope this help :}

Answer:

got ya

Step-by-step explanation:

Answer:

to get to 2/3 from 1/12, add 7/12 to 1/12.

Step-by-step explanation:

8/12 is equivalent to 2/3

Answer:

i think the answer would be b

Step-by-step explanation:

sorry if i am wrong

Answer:

its D

336 km2

Step-by-step explanation:

Answer:

300 plus 40 plus 8 plus 0.5 plus 0.06 plus 0.002

Answer: 5

Step-by-step explanation: 5*-1=-5

Answer:

3 solutions:

[tex]\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}} [/tex]

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is [tex]tan(\frac{\theta}{2})[/tex] so let's focus on that part of the equation first.

We know that:

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

therefore:

[tex]cos(\frac{\theta}{2})\neq0[/tex]

so we need to find the angles that will make the cos function equal to zero. So we get:

[tex]cos(\frac{\theta}{2})=0[/tex]

[tex]\frac{\theta}{2}=cos^{-1}(0)[/tex]

[tex]\frac{\theta}{2}=\frac{\pi}{2}+\pi n[/tex]

or

[tex] \theta=\pi+2\pi n[/tex]

we can now start plugging values in for n:

[tex] \theta=\pi+2\pi (0)=\pi[/tex]

if we plugged any value greater than 0, we would end up with an angle that is greater than [tex]2\pi[/tex] so,  that's the only angle we cannot include in our answer set, so:

[tex]\theta\neq \pi[/tex]

having said this, we can now start solving the equation:

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

we can start solving this equation by using the half angle formula, such a formula tells us the following:

[tex]tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}[/tex]

so we can substitute it into our equation:

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

we can now multiply both sides of the equation by [tex]sin(\theta)[/tex]

so we get:

[tex]1-cos(\theta)=sin^{2}(\theta)[/tex]

we can use the pythagorean identity to rewrite [tex]sin^{2}(\theta)[/tex] in terms of cos:

[tex]sin^{2}(\theta)=1-cos^{2}(\theta)[/tex]

so we get:

[tex]1-cos(\theta)=1-cos^{2}(\theta)[/tex]

we can subtract a 1 from both sides of the equation so we end up with:

[tex]-cos(\theta)=-cos^{2}(\theta)[/tex]

and we can now add [tex]cos^{2}(\theta)[/tex]

to both sides of the equation so we get:

[tex]cos^{2}(\theta)-cos(\theta)=0[/tex]

and we can solve this equation by factoring. We can factor [tex]cos(\theta)[/tex] to get:

[tex]cos(\theta)(cos(\theta)-1)=0[/tex]

and we can use the zero product property to solve this, so we get two equations:

Equation 1:

[tex]cos(\theta)=0[/tex]

[tex]\theta=cos^{-1}(0)[/tex]

[tex]\theta={\frac{\pi}{2}, \frac{3\pi}{2}}[/tex]

Equation 2:

[tex]cos(\theta)-1=0[/tex]

we add a 1 to both sides of the equation so we get:

[tex]cos(\theta)=1[/tex]

[tex]\theta=cos^{-1}(1)[/tex]

[tex]\theta=0[/tex]

so we end up with three answers to this equation:

[tex]\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}} [/tex]

Answer:

its D. 3

Step-by-step explanation:

for speed runners

Answer:

1

Step-by-step explanation:

1/2 of 12 students scored a 90 or above in class 2, which is 6

1/4 of 20 students scored a 90 or above in class 2, which is 5

6 - 5 = 1

Answer:

102 pounds

Step-by-step explanation:

Volume of Right rectangular prism = 12 * 8.5 * 4  = 408 cubic feet

Density = Mass / Volume

=>  0.25  = Weight of contents in container / Volume of container

=> 0.25 = Weight of contents in container / 408

=> Weight of contents in container  = 0.25 * 408

=> Weight of contents in container  = 102 pounds

Answer:

683lb

Step-by-step explanation:

Answer:

(3, -2)

Step-by-step explanation:

The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5.  We add 5 to -2, obtaining 3 units.

The y-coordinate of the midpoint is found similarly.  The vertical distance between the two given points is 1 - (-5), or 6 units.  Half of that is 3 units.  Adding 3 units to -5 yields -2.

The midpoint is (3, -2).

Thus, the coordinates of the midpoint at (-7, 6)

Answer:

4 units

Step-by-step explanation:

Create an equation where w is the width of the rectangle

Use the area formula, A = lw.

Since the length is the sum of the width and 1, it can be represented by w + 1

Plug in this and the area into the formula, and solve for w

A = lw

20 = (w + 1)(w)

20 = w² + w

w² + w - 20

(w + 5)(w - 4)

Solve for w:

w + 5 = 0

w = -5

w - 4 = 0

w = 4

Since the width cannot be negative, the answer must be 4.

So, the width of the rectangle is 4 units.

Answer:

We know that

Area = Length × Width

Area = w + 1 × w

Area = w² + w

w² + w - 20

w² + (5w - 4w) - 20

(w + 5)(w - 4)

Either

w = -5

or w = 4

Breadth can't be negative

So,

Breadth = 4 units

Answer:

The correct answer is B.

Step-by-step explanation:

Because you know two of the angles in a triangle are 90° and 52°, you can infer that the third angle is 38°. There is a trigonometry rule that states the sine of an angle is equivalent to the cosine of 90° minus that angle, which you can apply to here. Since [tex]Sin(52[/tex]°[tex])[/tex] = [tex]\frac{17}{c}[/tex], you know that [tex]Cos(90[/tex]°[tex]-52[/tex]°[tex])[/tex] or [tex]Cos(38[/tex]°[tex])[/tex]also equals [tex]\frac{17}{c}[/tex], so choice B is the correct answer.

Answer:

I know. It's a pain. I just put tons of points on and that seems to attract people.

Step-by-step explanation:

Answer:

The number is - ½

Step-by-step explanation:

Let the missing number be x

2x + 4 = 3

2x = 3 - 4

2x = - 1

x = - ½

Answer:

-1/2

Step-by-step explanation:

you have to make it like this and use a variable:

2x+4=3

take away 4 from both sides:

2x= -1

divide by 2:

x = -1/2