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2 years ago

Find the radius of a circle whose arc length is 55 m and its central angle measure if 5 radians

Mathematics

1 answer:

dimaraw [331]2 years ago

4 0

Answer:

Step-by-step explanation:

To solve this question, we can use the formula $S=\theta r$ , where $S$ is the arc length, $\theta$ is the central angle of the sector in radians, and $r$ is the radius.

In this situation, we know that $S=55$ and $\theta=5$

This means that $55=5r \longrightarrow \boxed{r=11}$

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That’s the number is written in standard scientific notation?

Nata [24]

Option D: 3.47*10^-7 is the correct answer

Step-by-step explanation:

In order to determine the number written in standard scientific notation, first of all we have to understand how the scientific numbers are written

the scientific numbers are written in the form of:

$a*10^n$

Here

a is a number between 1 and 10 while the value of n can be only integer (positive or negative)

so,

In the given options:

Option A has a number larger than 10 in place of a so it is not in standard notation

Option B has a number less than 1 in place of a so it is also not in standard notation

Option C has a number larger than 10 in place of a so it is not in standard notation

Option D is in standard scientific notation as 1<3.47<10 and the power of 10 is integer

Hence,

Option D: 3.47*10^-7 is the correct answer

Keywords: Scientific notation, exponents

Learn more about scientific notation at:

#LearnwithBrainly

6 0

3 years ago

A florist wants to determine if a new additive helps

Aleks [24]

The statement fourth "No, the flowers were not put into groups first and then randomly assigned the two additives would be correct.

<h3>What is random experiment?</h3>

Any well-defined method that yields an observable outcome that cannot be precisely predicted in advance is referred to as a random experiment. To avoid any ambiguity or surprise, a random experiment must be properly defined.

We have:

Total number of flowers selected = 20

And puts in each vase with same amount of water.

10 flowers have been assigned to receive the new additive.

The remaining 10 flowers receive the original additive.

Based on the data, this is not a randomized block design for the experiment because the flowers were not put into groups first and then randomly assigned the two additives.

Thus, the statement fourth "No, the flowers were not put into groups first and then randomly assigned the two additives would be correct.

Learn more about the random experiment here:

brainly.com/question/14298568

#SPJ1

7 0

2 years ago

The function and it’s inverse are shown on the same graph. Which statement best describes the relationship between the function

irinina [24]

Can I have the Graph

6 0

2 years ago

Javon spent %687 on pokemon cards. Energy cards cost $6 and dragon cards cost $5. If he bought a total of 127 packs then how man

pshichka [43]

Answer:

Javon purchase Energy cards = 52

Javon purchase Dragon cards = 75

Step-by-step explanation:

Given - Javon spent $687 on pokemon cards. Energy cards cost $6

and dragon cards cost $5.

To find - If he bought a total of 127 packs then how many of each did he buy ?

Proof -

Let Javon purchase Energy cards = x

Javon purchase Dragon cards = y

Now,

Given that he bought a total of 127 packs

⇒x + y = 127

Also,

Cost for 1 Energy card = $6

⇒Cost of x Energy cards = $ 6x

And

Cost of 1 Dragon card = $5

⇒Cost of y Dragon card = $ 5y

Now,

Given that Javon spent $687 on pokemon cards.

⇒6x + 5y = 687

∴ we get

x + y = 127 ..................(1)

6x + 5y = 687 .................(2)

Multiply by 6 in equation (1) , we get

6(x + y) = 6(127)

⇒6x + 6y = 762 .................(3)

Now,

Subtract equation (2) from equation (1) , we get

6x + 6y - (6x + 5y )= 762 - 687

⇒6x + 6y - 6x - 5y = 75

⇒y = 75

Now,

Put the value of y in equation (1), we get

x + 75 = 127

⇒x = 127 - 75

⇒x = 52

∴ we get

Javon purchase Energy cards = x = 52

Javon purchase Dragon cards = y = 75

3 0

3 years ago

One yard of the fabric costs $5. How much does she pay for all 5 pieces of fabric

solmaris [256]

Assuming a "piece of fabric" is a yard, 5x5 is $25.00.

6 0

3 years ago

Read 2 more answers