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frez [133]
3 years ago
10

Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find t

he length, in terms of a radian measure, of .
Mathematics
1 answer:
Ilya [14]3 years ago
6 0
The arc length will be given as: l = r*x
Where x is the angle in radian
l is arc length
r is radius

Now, given angle = 60
To convert into radian we use the relation,
2π (radian) = 360 degree

Therefore, 60 degree in radian wil be =(2π/360)*60
= π/3

Therefore, arc length= r*angle
= 5*π/3
= 5π/3
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Kumar the painter has 17 gallons of paints. He puts it into 6 buckets so each has the same amount. How many gallons are in each
9966 [12]

Answer:

17/6 or 2 5/6 gallons of paint

Step-by-step explanation:

First, do 17/6= 2 5/6.

That's really all, but I can't help you with the number line because of no attachment, but just put it on the part where it says 17/6 or 2 5/6.

Hope this helped!

3 0
3 years ago
What is the slope of this line?
alisha [4.7K]

Answer:

A line is increasing if it goes up from left to right. The slope is positive, i.e. m > 0 {\displaystyle m>0} .

A line is decreasing if it goes down from left to right. The slope is negative, i.e. m < 0 {\displaystyle m<0} .

If a line is horizontal the slope is zero. This is a constant function.

If a line is vertical the slope is undefined (see below).

7 0
3 years ago
13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indica
liraira [26]

Answer:

Null Hypothesis, H_0 : P = 4.1%

Alternate Hypothesis, H_A : P > 4.1%

Step-by-step explanation:

We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.

<u><em>Let p = true percentage  of the population that suffers from extreme shyness.</em></u>

So, Null Hypothesis, H_0 : P = 4.1%

Alternate Hypothesis, H_A : P > 4.1%

Here, <em><u>null hypothesis states that</u></em> % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.

On the other hand, <u><em>alternate hypothesis states that</em></u> more than 4.1% of the population suffers from professional problems due to extreme shyness.

So, the above hypothesis would be appropriate for conducting the test.

8 0
3 years ago
U=(1,2,3,4,5,6,7,8),a=(1,3,5,7), b=(4,5,6) is it true statement
kvv77 [185]

<u>Answer:</u>

U=(1,2,3,4,5,6,7,8), a=(1,3,5,7), b=(4,5,6) is false statement

<u>Solution:</u>

Given, two sets are a = (1, 3, 5, 7) and b = (4, 5, 6).

And their union set is U = (1, 2, 3, 4, 5, 6, 7, 8)

We have to find that whether above sets are true or not.

We know that, union of two sets will have the all elements in the two sets except the repeated elements.

Now, according to our knowledge.

Union of a and b = (1, 3, 5, 7, 4, 6)  

Now compare the given union set with our set.

After comparison we can say that, both are not equal which means that given union set is false set.

Hence, given statement is false.

6 0
3 years ago
Can someone help me with this thanks ​
Ugo [173]

The length of the brace required is 4.3m

What is sine rule?

In a ΔABC a, b and c are the sides and A, B and C are angles then,

\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}

We can find the length, l as shown below:

Let AB=3m, BC=2m and AC=l

Let ∠A=25°

So, in ΔABC

\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}

\frac{BC}{sinA}=\frac{AB}{sinC}

\frac{2}{sin25}=\frac{3}{sinC}

\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )

∠C=39.34°

∠A+∠B+∠C=180°

∠B=180°-25°-39.34°

∠B=115.66°

\frac{BC}{sinA}=\frac{AC}{SinB}

\frac{2}{sin25}=\frac{l}{sin(115.66)}

l=\frac{2\times sin(115.66)}{sin25}

l=4.2659

Rounding to nearest tenth of meter.

l=4.3m

Hence, the length of the brace required is 4.3m

Learn more about Sine Rule here:

brainly.com/question/25852087

#SPJ1

8 0
2 years ago
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