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2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

Aleksandr [31]2 years ago

3 0

Answer:

Step-by-step explanation:

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Which principle prevents a government from becoming too powerful?

tino4ka555 [31]

Comment: I think you got this in the wrong section but I’ll still answer it anyways.

Actual Answer: system of checks and balances

Step-by-step explanation: A system of checks and balances stops one branch of government from becoming too powerful.

Additional Note: I hope that this helps you and have a wonderful day!

7 0

2 years ago

Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

3 years ago

Total Number of Fish in Tank

ikadub [295]

Answer:

Look it up. it will help you work it out. hope this helped.

Step-by-step explanation:

8 0

3 years ago

Owen has a 15 ft ladder, the instructions say that the base of the ladder should be 6 ft from the wall. How high up the wall wil

pogonyaev

Answer:

height = 13.75 feet

Step-by-step explanation:

use the Pythagorean theorem

hypotenuse^2 =base^2 + height^2

15^2 = 6^2+height^2

225 = 36 + height^2

189 = height^2

height = 13.75 feet

6 0

3 years ago

What is the slope of this line?<br><br> Enter your answer in the box.<br><br> ____.

kati45 [8]

A line parallel to x-axis has 0 slope.

3 0

3 years ago

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