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kenny6666 [7]
2 years ago
7

Ming argues that the length of a will be half of the measure of the length of 6 since 45° is half the measure of 90°. Charlene a

rgues that the length of a will be a different number.
What is the length of a?
Mathematics
1 answer:
Afina-wow [57]2 years ago
5 0

The length of a will be a different number and the value will be 4.71in

<h3>How to find the area of a sector</h3>

The given diagram is a sector and the formula for calculating the length of an arc is expressed as:

Length of an arc = rβ

where

  • β is the subtended angle
  • r is the radius

Given the following parameters

β .= 45 degrees

r = 6in

Substitute

Length of an arc = 6π/4

Length of an arc = 6(3.14)/4

Length of an arc = 4.71inches

This shows that the length of a will be a different number and the value will be 4.71in

Learn more on length of arc here: brainly.com/question/8020286

#SPJ1

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Solve the equation.
lawyer [7]

Answer:

  • x=12
  • x=9

Step-by-step explanation:

1) Eliminate parentheses:

  0.1x +18.8 = -4 +2x

  22.8 = 1.9x . . . . . . . . . add 4 - 0.1x

  12 = x . . . . . . . . . . . . . divide by 1.9

__

2) Eliminate parentheses:

  -16 +4x = 0.8x +12.8

  3.2x = 28.8 . . . . . . . . add 16 - 0.8x

  x = 9 . . . . . . . . . . . . . .divide by 3.2

_____

<em>Comments on the solutions</em>

The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...

  variable term = constant

We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.

__

You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.

7 0
3 years ago
Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The
FinnZ [79.3K]

Answer:

15 hours

Step-by-step explanation:

x is the number of hours that Liam volunteered in the first month

The next month he volunteered 1\dfrac{2}{3} times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15

Time he volunteered in the first month is 15 hours.

3 0
2 years ago
Fabric is sold by the yard and many fabrics are 48" wide (4feet). Designers calculate the square feet needed for a garment in or
Natali5045456 [20]

Answer:

How many yards of material does the designer need for the 6 skirts? = 12

How much will ALL the fabric cost? = $150.84

What is the cost of the fabric of ONE skirt? = $12.57

Step-by-step explanation:

How many yards of material does the designer need for the 6 skirts?

First, it says that the yard is 48" wide aka 4 feet. But since it's asking for a total of 6 skirts, you multiply the yard by the number of skirts. Let's try to multiply 48 with 6.

  48

<u>x   6</u>

288

So it will be 288 yards of material but we need to multiply 4 with 6.

  4

<u>x 6</u>

24

So as you can see, 24 is 12 times as many as 288.

If you multiply 24 with 12, you will get the result of 288.

So the answer is 12 yards of material.

-----------------------------------------------------------------------------------------------------------------

How much will ALL the fabric cost?

First, it says that the cost of the fabric is $12.57 per yard.

So, since we got our answer as 12 for our first question, we gotta multiply $12.57 with 12.

    12.57

<u>x        12</u>

 150.84

So the answer is $150.84.

-----------------------------------------------------------------------------------------------------------------

What is the cost of the fabric for ONE skirt?

First, again we check that it's $12.57 per yard.

So, if it's for only one skirt, it will be $12.57.

It says that the fabric cost $12.57 and for one skirt.

-----------------------------------------------------------------------------------------------------------------

Hope this helped! I tried to help though. I didn't read the whole thing but I tried to solve your 3 questions :) !

7 0
3 years ago
Read 2 more answers
An item is priced at $14.74. If the sales tax is 4%, what does the item cost including sales tax? A. $20.64 B. $15.33 C. $0.59 D
otez555 [7]
The question already has all the information's that are required for getting to the solution. It is important to minutely look at all the details provided.
Actual price of the item = $14.74
Percentage of sales tax that needs to be added = 4%
Then
Amount of sales tax that needs to be added = (4/100) * 14.74 dollars
                                                                       = 58.96/100 dollars
                                                                       = 0.5896 dollars
                                                                       = 0.59 dollars
Then
The cost of the item including sales tax = (14.74 + 0.59) dollars
                                                                 = 15.33 dollars
From the above deduction we can easily conclude that the correct option among all the options given in the question is option "B".
4 0
3 years ago
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhi
Zina [86]

Answer:

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6 0
2 years ago
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