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V125BC [204]
1 year ago
14

Which of these ratios are equivalent ratio 1:4 2:8 3:6 7:28

Mathematics
1 answer:
Harrizon [31]1 year ago
5 0

Answer:

1:4

2:8

7:28

Step-by-step explanation:

  • 1:4
  • 2:8 , 1:4
  • 7:28, 1:4
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Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
Read 2 more answers
Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width
viva [34]

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

In the scale drawing of Joe, the community pool has (length : width) = 8 : 3

Let the actual length of the pool is 8x meters and the actual width is 3x meters.

Now, given that the actual pool has a perimeter of 77 meters.

So, 2(8x + 3x) = 77

⇒ 22x = 77

⇒ x = 3.5

So, the length of the pool is 8x = 8(3.5) = 28 meters and the width of the pool is 3x = 3(3.5) = 10.5 meters. (Answer)

8 0
3 years ago
Set up the equation to find the AREA of the SMALL rectangle with a length of (x) and width (x+7)
Igoryamba

<u>Answer:</u>

<h3>( x ) x ( x + 7 ) </h3>

<u>Step-by-step explanation:</u>

To find the area of a rectangle, we have to multiply the length with the width.

In the question, the given length is 'x' and the width given is 'x +7'

So, the area would be

( x ) x ( x + 7 )

The area = x^{2} + 7x

So, the equation to find the area of such a rectangle would be:-

( x ) x ( x + 7 )

7 0
3 years ago
Show a number line 2/3 3/3
matrenka [14]
2|------|------|------|3/3 or 1 whole
1/3. 2/3
6 0
3 years ago
What 3 write x3 x3x3x3x3 using exponents
Rainbow [258]
Not exactly sure wat u mean but if u are asking for 3x3x3x3x3 in exponents 
it would be 3^5

On paper you wrtie 3 with a small 5 on the top right of the 3 
the 5 means how many 3 u are multiplying
7 0
3 years ago
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