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I am Lyosha [343]
3 years ago
5

Subtract 3 1/9- 1 4/9

Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

1 2/3.

Step-by-step explanation:

First convert to improper fractions:

3 1/9 - 1 4/9

= 28/9 - 13/9

= 15/9

= 1 6/9

= 1 2/3

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Analyze the diagram below and complete the instructions that follow.
lora16 [44]

Answer:

\displaystyle y=2\sqrt{6}

\displaystyle x=2\sqrt{2}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}

Solving for y:

y=4\sqrt{2}\cos 30^\circ

Since:

\cos 30^\circ=\frac{\sqrt{3}}{2}

\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}

Simplifying:

\displaystyle y=2\sqrt{6}

Now we use the sine ratio:

\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}

Solving for x:

x=4\sqrt{2}\sin 30^\circ

Since:

\sin 30^\circ=\frac{1}{2}:

\displaystyle x=4\sqrt{2}\frac{1}{2}

Simplifying:

\displaystyle x=2\sqrt{2}

The choices are not clear, but it seems like the correct answer is C.

\boxed{\displaystyle y=2\sqrt{6}}

\boxed{\displaystyle x=2\sqrt{2}}

6 0
3 years ago
Which is true regarding the function ?
USPshnik [31]
The answer is D. 

F(x) = y is basically what you are looking for. You substitute x for x and find if it matches with Y. D is the only answer where the ordered pair (-6, 10) ,matches up with F(x) = y. 
7 0
3 years ago
Read 2 more answers
How many times does three go into 35 m
puteri [66]

\huge\boxed{11\;times.}

We have the question...

How many times does 3 go into 35?

Well, this is pretty simple all you have to do is count up by 3s until you get to the number. Remember, it doesn't have to be exact though. So, here we go count by threes 11 times. We get 33 from 3*11. Therefore, your answer will be 11 times.

6 0
3 years ago
Read 2 more answers
Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true stat
SVEN [57.7K]
7x-5=0
7x=5
x=5/7

Your answer was wrong. When you transpose (shift) the -5 to right side the sign should change and become a positive 5.
I don’t know if that makes sense.
In maths, when you move a number over the equal sign whether it’s to the right or the left of the equal sign the sign infront if the number must change as well.

Example:
2x +4=0
2x= -4
x=-2

4 0
3 years ago
Find the inverse function of g(x)2x+4
Pavel [41]

The correct answer is \frac{x-4}{2}

Hope this helps!

3 0
3 years ago
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