All categories

2 years ago

In a circle, an arc 60 centimeters long subtends an angle of 5 radians. What is the radius of the circle?

2 answers:

7 1

The answer to this question is:

In a circle, an arc 60 centimeters long subtends an angle of 5 radians. What is the radius of the circle?"0.6 / 5 = 0.12 m"

Hoped This Helped, Taylorlolth
Your Welcome :)

Talja [164]2 years ago

6 0

Alrighty
2pi radians in a circle

so
find the circumfernce
5/2pi=60/circumfnernce
solve for circumfernece

multiply both sides by 2pi circumference
5circumference=120pi
divide both sides by 5
circumference=24pi

c=2pir
24pi=2pir
divide both sides by 2pi
12=r
the radius is 12cm

You might be interested in

In general, the probability that a blood donor has Type A blood is 0.40.Consider 8 randomly chosen blood donors, what is the pro

postnew [5]

Answer:

The probability that more than half of them have Type A blood in the sample of 8 randomly chosen donors is P(X>4)=0.1738.

Step-by-step explanation:

This can be modeled as a binomial random variable with n=8 and p=0.4.

The probability that k individuals in the sample have Type A blood can be calculated as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.4^{k} 0.6^{8-k}\\\\\\$

Then, we can calculate the probability that more than 8/2=4 have Type A blood as:

$P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\\\P(x=5) = \dbinom{8}{5} p^{5}(1-p)^{3}=56*0.0102*0.216=0.1239\\\\\\P(x=6) = \dbinom{8}{6} p^{6}(1-p)^{2}=28*0.0041*0.36=0.0413\\\\\\P(x=7) = \dbinom{8}{7} p^{7}(1-p)^{1}=8*0.0016*0.6=0.0079\\\\\\P(x=8) = \dbinom{8}{8} p^{8}(1-p)^{0}=1*0.0007*1=0.0007\\\\\\\\P(X>4)=0.1239+0.0413+0.0079+0.0007=0.1738$

3 0

2 years ago

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and

uranmaximum [27]

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.

Distance in kilometers taken by variable d.

Number of hours by t.

And situation is given d=50t.

We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.

In the given fuction y is taken by variable d and x is taken by variable t.

If we compare d=50t by y = mx, the value of k is 50.

Therefore, constant of proportionality is 50.

Constant is a number that never change it's value.

Therefore, constant of proportionality is just 50.

But we can say variables d and t are two variables those are directly proportional to each other.

Constant of proportionality is actually unit rate of change.

For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)

If we divide 400km 8 hours, we get 400/8 = 50 km per hour.

Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".

And the constants of proportionality is just 50.

7 0

2 years ago

An isosceles triangle used to rack billiard balls has a base of 11.25 inches. The sides of the triangle meet at a 56° angle. To

lara [203]

Answer:

The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches

Step-by-step explanation:

Given as for a Isosceles triangle :

The base of Triangle = 11.25 inches

The sides of triangle meets at 56°

Let the unknown side measure = x inches

From <u>The property of isosceles triangle</u>

The angle opposite to the same side are equal

I.e $\Theta _1$ = $\Theta _2$ = 56°

So, The third angle = 180° - ( $\Theta _1$ + $\Theta _2$ )

Or, The third angle = 180° - ( 56° + 56° )

∴ The third angle = 180° - 112° = 68°

Now, From isosceles triangle

Tan 56° = $\frac{perpendicular}{base}$

Or, Tan 56° = $\frac{x}{11.25}$

∴ x = 11.25 × Tan 56°

Or, x = 11.25 × 1.482 = 16.672 inches

Hence The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches Answer

6 0

2 years ago

In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class.

astraxan [27]

14 is the answer bc u have to multiply 7x2 <3

6 0

2 years ago

What error did Maria likely make?

raketka [301]

She didn’t notice that the 3 and the 4 both do not have the variable “n” with them
She just added up all the numbers together then added the variable at the end.

7 0

2 years ago