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ad-work [718]
3 years ago
13

In a circle with radius 2.1, an angle intercepts an arc of length 21.2. Find the angle in

Mathematics
1 answer:
inessss [21]3 years ago
6 0

Given:

Radius of a circle = 2.1 units

Arc length = 21.2 units

To find:

The central angle in radians to the nearest 10th.

Solution:

We know that the intercepted arc length is

s=r\theta

Where, s is the arc length, r is the radius and \theta is the central angle in radians.

Putting the given values, we get

21.2=2.1\theta

\dfrac{21.2}{2.1}=\theta

10.095238=\theta

\theta\approx 10.1

Therefore, the angle in radians is 10.1.

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The table shows sets of ordered pairs that form a relation.
tiny-mole [99]

A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain of the relation, and the set of all y-values is called the range of the relation.

A relation from a set X (domain) to a set Y (range) is called a function if each element of X is related to exactly one element in Y.

A. A relation {(2,-3), (3,-3), (1,4), (9,2)} is a function, because each x has exactly one element y related to.

B. A relation {(8,-3), (3,8), (9,4), (-2,2)} is a function,  because each x has exactly one element y related to.

C. A relation {(1,-1), (4,8), (9,-1), (3,2)}  is a function,  because each x has exactly one element y related to.

D. A relation {(1,-1), (-1,5), (1,-6), (-3,2)} is not a function, because x=1 has two possible outcomes y: y=-1 or y=-6.

Answer: A, B and C are functions and D is not a function

4 0
2 years ago
Solve for x<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%3D%2010" id=
Degger [83]

Answer:

x = 18.5

Step-by-step explanation:

Given

\frac{x}{2} + \frac{3}{4} = 10

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2x = 37 ( divide both sides by 2 )

x = \frac{37}{2} = 18.5

6 0
3 years ago
Read 2 more answers
12x-39&lt;9 and -4x+3&lt;-6
gulaghasi [49]
Remember, you can do anything to an equation as long as you do it to both sides


and when multiply or divide by a negative in inequalities, flip the direction of the sign

12x-39<9
add 39 to both sides
12x<48
divde bothh sides by 12
x<4



-4x+3<-6
minus 3 both sides
-4x<-9
times both sides by -1 and flip sign
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4 0
3 years ago
Read 2 more answers
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Bess [88]
-1 cus its -1 becus u -1 so u get -1
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2 years ago
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chris has 3 1/2 boxes of tomatoes at his restaurant he uses 1 3/4 boxes to make tomato sauce for tonight's dinner. How many boxe
Sladkaya [172]

Answer:

1 3/4

Step-by-step explanation:

3 1/2 boxes of tomatoes currently. uses 1 3/4, taking it away basically.

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2 years ago
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