Dont know where to start any help please solve for u 8=u/12.8

If sinθ = 12/13 and θ is an acute angle, find cotθ.

Tju [1.3M]

Answer:

cot(θ)=5/12

Step-by-step explanation:

(I'm going to replace theta with x to save time.)

Recall that sine is equal to opposite over hypotenuse. Thus:

sin(x)=12/13, this means that the opposite side is 12 while the hypotenuse is 13 (well, it doesn't have to be, but their ratios are).

Find the adjacent side using the Pythagorean Theorem.

13^2 = 12^2 + adj^2

adj^2 = 25

adj = 5.

Recall that tan(x) is opposite over adjacent. This means that cot(x) is adjacent is opposite.

Therefore: cot(x) = 5/12.

6 0

4 years ago

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

10 minutes past noon in analog time

andreev551 [17]

Answer:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through: ... Angle traced by hour hand in 12 hrs = 360°.Jul 1, 2010

8 0

3 years ago

What are the coordinates of the y-intercept of the line who's equation is 12x + 13y =8???

Ierofanga [76]

Answer:

y-intercept = (0, $\frac{8}{13}$ ).

Step-by-step explanation:

Given the linear equation in standard form, 12x + 13y = 8:

We must transform this equation into slope-intercept form to make it easier to determine the coordinates of the y-intercept.

12x + 13y = 8

Subtract 12x from both sides:

12x + 13y - 12x = - 12x + 8

13y = - 12x + 8

Next, divide both sides of the equation by 13 to solve for y:

$\frac{13y}{13} = \frac{-12x + 8}{13}$

$y = \frac{-12x + 8}{13}$ or $y = -\frac{12}{13} x + \frac{8}{13}$

Next, to determine the y-intercept, we must set x = 0 (because the y-intercept is the point where the graph of the linear equation crosses the y-axis).

Let x = 0:

$y = -\frac{12}{13} x + \frac{8}{13}$

$y = -\frac{12}{13} (0) + \frac{8}{13}$

$y = \frac{8}{13}$

Therefore, the value of y when x = 0 is $\frac{8}{13}$ . This is the y-intercept, and its coordinate is (0, $\frac{8}{13}$ ).

6 0

3 years ago

Thomas bought a case of 6 apple juice bottles and one 3-liter bottle of orange juice. Each apple juice bottle contains 2 liters

OleMash [197]

So...
Each bottle of apple juice has 2 litters of juice, so, if he bought y bottles of apple juice, we will have to multiply.
$6*2=12$

12 liters of apple juice
3 liters of orange juice

6 0

3 years ago