3 years ago

Suki split five dog treats equally among her six dogs which fraction represents this division

Mathematics

1 answer:

aleksley [76]3 years ago

6 0

1/6 of a treat would be your answer

hope this helps

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

3 years ago

In an origami class, the instructor tells the students to cut a square that has an area of 24 square inches. Kevin cuts a square

rodikova [14]

The answer is
The side length of the square Kevin cuts is slightly less than the length the instructor required

7 0

3 years ago

this was the question I needed but it didn't give me the answer. I have to find the perimeter of the following shape above but t

levacccp [35]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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Students taking an online english test are randomly assigned 3 questions out of a set of 9 different questions. How many differe

wolverine [178]

Answer:

2 sets I think

Step-by-step explanation:

what are the answer choices

4 0

3 years ago

SOMEONE PLEASE HELP ASAP!!!!!

Margaret [11]

Answer:

x = 1

y = 1

Step-by-step explanation:

System of Equations

We are given the system of equations:

2x + y = 3

x = 2y - 1

Substituting x in the first equation:

2(2y - 1) + y = 3

Operating:

4y - 2 + y = 3

5y = 3 + 2

y = 5/5 = 1

y = 1

Since:

x = 2y - 1

Then:

x = 2(1) - 1

x = 1

Solution:

x = 1

y = 1

7 0

3 years ago