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3 years ago

Which model can be used to subtract 1/2 from 5/6?

Mathematics

1 answer:

Soloha48 [4]3 years ago

8 0

Answer:

2nd one

Step-by-step explanation:

1/2 when multiplied with 3/3 so it has the same denominator is 3/6, the second choice shows 3/6 as a model as well as 5/6 so yea

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What is the value of cos θ given that (-2, 9) is a point on the terminal side of θ?

liq [111]

Answer:

a) cosθ = $\frac{-2\sqrt{85} }{85}$

Step-by-step explanation:

Step(i):-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

x = r cos θ and y = r sinθ

where $r = \sqrt{x^{2} +y^{2} }$

$r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}$

Step(ii):-

x = r cos θ

cosθ $= \frac{x}{r}$

cosθ = $\frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }$

cosθ = $\frac{-2\sqrt{85} }{85}$

3 0

3 years ago

Mathematical word describes both 27x and 6x in the expression 27x+6x?

Maslowich

The mathematical word describing both $27x$ and $6x$ in the expression $27x+6x$ is "addition"

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the terms were $27x$ and $6x$ and the expression formed from them is $27x+6x$

This means both the terms were added together, as denoted by '+' (called 'plus') sign.

When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.

Thus, the mathematical word describing both $27x$ and $6x$ in the expression $27x+6x$ is addition"

Learn more about addition here:

brainly.com/question/14148883

7 0

2 years ago

Solve for x round to the nearest tenth

lidiya [134]

Answer:

47.0

Step-by-step explanation:

In this right angle triangle, we are faced with a challenge of two sides. The opposite side and the adjacent side, hence the tangent is used.

Where it is the opposite side and hypothenus side, the sine is used and when it is the hypothenus side and adjacent side, the cosine is used.

Hence, we have tan62°=x/25

We cross multiply, to have

25(tan 62°)= x

x = 47.01816

In rounding up numbers, number 1 to 4 will be rounded up to zero, while numbers 5 to 9 will be rounded up to 1.

Rounding up 47.01816 to the nearest tenth. The tenth value is the figure is 0, before it we have 1, which is to hundredth. 1 will be rounded up to zero.

So we have 47.0

3 0

3 years ago

2x – 2y = -4 and x + y = 8 please show work having a hard time in math

Katena32 [7]

Step-by-step explanation:

y= 5

x=3

.................

7 0

3 years ago

The length of a rectangle is four times its width.

Irina-Kira [14]

Answer:

Length = 24 yd

Width = 6 yd

Step-by-step explanation:

To start out, we can begin by saying that "l" is the length of the rectangle, and "w" is the width.

Since we know that the length (l) is 4 times its width we can say that 4 times the width is equal to its length. We would write this out this way :

4w = l

Next, we know that the perimeter is 60yd (as it is given in the question). We also know that the perimeter of a rectangle is all of its sides, added. Meaning the length plus the length, plus the width and the width. So, we can use the equation :

2l + 2w = p

"p" being the perimeter. And, since the perimeter is 60, we can place in 60 for "p"

2l + 2w = 60

Now we can use this information to combine the terms, and find the width and length. We first do this by noticing that in the first equation, it shows that "l" (the length) is equal to 4w. This means that we can put 4w in place of the "l" in the second equation. We can do this, becuase we know that "l" is equal to 4w. (from the first eqaution)

2 (4w) + 2w = 60

Now, we solve

2 * 4w = 8w

8w + 2w = 10w

So now we have :

10w = 60

To get the width, all we have to do is simply get "w" alone. We can do this by dividing both sides by 10.

10w = 60

/10 /10

w = 6

Therefore, the width is 6.

Now, going back to the first equaiton, we already know that the length is 4 times the width, meaning all we have to do is multiply 6 by 4 to get the length.

6 * 4 = 24.

Therefore, the length is 24.

Lastly, to check and make sure we are correct, we can go back to the second equation. 2l + 2w = 60

2 (24) + 2 (6) = 60

2 * 24 = 48

2 * 6 = 12

48 + 12 = 60

60 = 60

Now, we officially know that the length of the rectangle is 24 and the width is 6.

6 0

2 years ago