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Nady [450]
3 years ago
8

Given circle o, what is the length of arc AB if m AOB =40° ? Radius is 9

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer:

Arc length = 6.28 units

Step-by-step explanation:

Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28

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Natalie put 13 cup of flour in a bowl. Her sister put another 34 cup of flour in the bowl. They need a total of 4 cups of flour
prisoha [69]

Answer:

A. 147

Step-by-step explanation:

7 0
3 years ago
Find the distance between the two points. Round to the nearest tenth, if necessary. (Point 1 is at (-5,2) and point 2 is at (3,-
aivan3 [116]

Answer:

d = 9.4

Step-by-step explanation:

d=\sqrt{(3-(-5))^2 +(-3-2)^2\\

d=\sqrt{(8)^2+(-5)^2}

d=\sqrt{64+25}

d=\sqrt{89

d=9.4

3 0
3 years ago
Factorise fully 12x³ - 30x²​
MariettaO [177]

Answer:

6x² (2x - 5)

Step-by-step explanation:

12x³ - 30x²

= 6x² (2x - 5)

5 0
2 years ago
Which of the following in an identity?
sammy [17]
By "which is an identity" they just mean "which trigonometric equation is true?"

What you have to do is take one of these and sort it out to an identity you know is true, or...

*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5    cscx = 5/3
cosx = 4/5   secx = 5/4
tanx = 4/3    cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!

Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.

Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)

Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 +  3/4)².

By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
5 0
2 years ago
Evaluate u+w when u = 8,V= -2 and w = 4
vodka [1.7K]
12. V is not needed, and just substitute the letters with the numbers the correspond to.
3 0
2 years ago
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