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Naddik [55]
3 years ago
12

The radius of a circle is 9 feet. What is the length of a 90° arc?

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

Answer:

\frac{9\pi }{2} feet, or 14.14 feet

Step-by-step explanation:

Use the arc length formula:

s = rθ

To use the formula, we have to convert the central angle to radians.

90° is equivalent to \frac{\pi }{2} radians, so plug this and the radius into the formula:

s = rθ

s = (9)(\frac{\pi }{2})

s = \frac{9\pi }{2}

So, the length of the arc is \frac{9\pi }{2}\\ feet, or approximately 14.14 feet

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If pentagon ABCDE is rotated 180 degrees around the origin to create pentagon A’ B’ C’ D’ E’, what is the ordered pair of point
Naddik [55]
You haven't provided the original coordinates or the figure, therefore, I cannot give an exact answer. However, I will help you with the concept.

For rotation 180° about the origin, the signs of both the x any y coordinates are changed.
<u>This can be modeled as follows:</u>
(x,y) ......> rotation 180° about the origin ........> (-x,-y)

<u>Examples:</u>
(1,2) .......> rotation 180° about the origin ........> (-1,-2)
(2,-19) ....> rotation 180° about the origin ........> (-2,19)
(-3,-8) .....> rotation 180° about the origin ........> (3,8)
(-5,7) ......> rotation 180° about the origin ........> (5,-7)

Based on the above, all you have to do to get the coordinates of C' is change the signs of both the x and y coordinates

Hope this helps :)

5 0
3 years ago
Sadie has mangos and watermelons in a ratio of 91:11. How many mangos does she have if she has 66 watermelons?
snow_lady [41]

Answer:

546 manogoes

Step-by-step explanation:

Sadie has mangos and watermelons in a ratio of 91:11.

We need to find the number of mangoes if she has 66 watermelons.

It means that,

11x = 66

x = 6

So,

Mangoes = 91x

= 91(6)

= 546

Hence, there are 546 mangoes.

3 0
3 years ago
8b + 4 - 4b + 2 = <br><br> A) 12b + 6 <br> B) 4b^2 ​2 ​​ + 4 + 2 <br> C) 12bb + 6 <br> D) 4b + 6
trapecia [35]
<h2>Answer:</h2><h2>D. 4b + 6</h2><h2 /><h2>Hope this helps!!</h2>

5 0
3 years ago
Read 2 more answers
Is (-a + b)² = a² - 2ab + b² right or wrong, and why?
antiseptic1488 [7]

Answer:

\huge\boxed{\sf Right.}

Step-by-step explanation:

(-a+b)^2

Let's apply the formula (x+y)² = x² + 2xy + y²

Here, x = -a and y = b

So,

= (-a)² + 2(-a)(b) + (b)²

= a² - 2ab + b²

Hence, it has been proved that (-a + b)² = a² - 2ab + b².

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
2 years ago
A pair of parallel lines intersected by a transversal and forms same side interior angles that are in a 5:1 ratio. what are the
kifflom [539]

Answer:

1st side: 150

2nd side: 30

3 0
3 years ago
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