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3 years ago

Using the right triangle below find the cotangent of angle A

Mathematics

1 answer:

pogonyaev3 years ago

7 0

Answer:

option d is correct

Step-by-step explanation:

cot=b/p

p=2

b=2 $\sqrt{3}$

so b/p=2 $\sqrt{3}$ /2= $\sqrt{3}$

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What is the solution to the system of equations?

Dovator [93]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}$

$\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}$

$x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10$

4 0

2 years ago

Hi, I need some help with the last question of the first problem and the answer to the second page.

bulgar [2K]

Answer:

46.9 for the first one

Step-by-step explanation:

So sorry if i'm wrong <3

6 0

2 years ago

Please help me answer.

ololo11 [35]

Answer:

D. 251.2 feet

Step-by-step explanation:

On carefully observing the diagram,it can be seen that 80 feet is the diameter of the circular ride, i.e.,the circle,in this case.

The radius of the circle will be half the diameter,r=(80/2) feet=40 feet

The distance of one complete loop of this circular path will be the circumference of the circle.

So, Circumference

=2*π*r

=2*3.14*40 feet

=251.2 feet [ANS]

7 0

2 years ago

Read 2 more answers

Answer this pls asap

irina [24]

Answer:

351.68 cm^2

Step-by-step explanation:

We need to find the area of the frame itself. the radius of the inner circle is 12, but the frame has a radius of 4. You add 12 and 4 and you get 16. The formula for area of a circle is A=πr^2. So A= 3.14 x16^2. Then you have A= 3.14x 256 and you get 803.84. But we only want the area of the frame, so you have to get the area of the inner circle and subtract. You get A= 3.14 x 12^2. 3.14x144 is 452.16. 803.84-452.16 is 351.68. Hope this helped. :)

3 0

2 years ago

Read 2 more answers

A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9. how many 4 digit combinations are

tamaranim1 [39]

This is the easiest way to solve this problem:

Imagine this represents how many combinations you can have for each of the 4 wheels (each blank spot for one wheel): __ __ __ __

For the first situation it says how many combos can we make if no digits are repeated.
We have 10 digits to use for the first wheel so put a 10 in the first slot
10 __ __ __
Since no digit can be repeated we only have 9 options for the second slot
10 9_ __ __
Same for the third slot, so only 8 options
10 9 8 __
4th can't be repeated so only 7 options left
10 9 8 7

Multiply the four numbers together: 10*9*8*7 = 5040 combinations

For the next two do the same process as the one above.

If digits can be repeated? You have ten options for every wheel so it would look like this: 10 10 10 10

10*10*10*10 = 10,000 combinations

If successive digits bust be different?
We have 10 for the first wheel, but second wheel only has 9 options because 2nd number can't be same as first. The third and fourth wheels also has 9 options for the same reason.

10 9 9 9 

10*9*9*9 = 7290 combinations

8 0

2 years ago