1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NikAS [45]
3 years ago
15

The central angle of a circle measures 108 degrees and intercepts an arc of 6pi inches.

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

An arc is a part of the circumference of a circle and the angles that subtend the arcs are proportional to the length of the arc.

So, you basically have two arcs to compare: a 10cm arc and a 60cm arc. But the 60cm arc also happens to be the circumference in this case, so you know that the angle that subtends that arc is 360 degrees (the whole circle). The 10cm arc is 1/6 of the whole circumference so the angle is going to be 1/6 of 360 degrees, which is <span>60 degrees.</span>

You might be interested in
Hurry Quick, help me do this problem. I don't understand how to do this so please help! (Problem in photo)
matrenka [14]

Answer:

1) The system of equations is 5x+4y=75 and x+y=18

2) The first number is 3 and the second number is 15

Step-by-step explanation:

1) Let be "x" the first number and "y" the second number.

Remember that:

a- The word "times" indicates multiplication.

b- A sum is the result of an addition.

c- "Is" indicates this sign:  =

Then, the sum of 5 times "x" and 4 times "y" is 75, can written as:

5x+4y=75

And "The sum of the two numbers is 18" can written as:

x+y=18

Therefore, the System of equations is:

\left \{ {{5x+4y=75} \atop {x+y=18}} \right.

2) You can use the Elimination Method to solve it:

- Multiply the second equation by -5, add the equations and then solve for "y":

\left \{ {{5x+4y=75} \atop {-5x-5y=-90}} \right.\\......................\\-y=-15\\\\y=15

- Substitute the value of "y" into any original equation and solve for "x":

x+15=18\\\\x=18-15\\\\x=3

7 0
3 years ago
Please help 20 points please helpppp I don’t understand
Elan Coil [88]

Answer:

I think that its 58 degrees

5 0
3 years ago
Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.
adoni [48]

again, let's assume daily compounding means 365 days per year.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}

A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}

what's their difference?  well

\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}

7 0
2 years ago
Henry has red marbles and blue marbles. The ratio of the number of his red marbles to blue marbles is 5:7 . If Henry has 63 blue
nika2105 [10]

Answer:

45 because 7 x 9 = 63 so you have to do 5 x 9 = 45

Step-by-step explanation:

8 0
3 years ago
HELP HURRY WILL GIVE BRAINLIEST
rusak2 [61]

Answer:

That's all you're doing is writing the equation for two lines and finding out where they intersect. The slope is how much the price is increasing or decreasing and the y-intercept is where the price is starting at.

x = number of hours

y = mx + b = 0.12(x + 3) + 15.21     {It's (x + 3) because we have to add the 3 hours between 9 and noon}

y = mx + b = -0.11x + 15.96       {The slope is negative because the price is decreasing}

Set them equal to each other

0.12(x+3) + 15.21 = -0.11x + 15.96

Now solve for x

0.12x + 0.36 + 15.21 = -0.11x + 15.96

0.12x + 15.57 = -0.11x + 15.96

0.12x + 0.11x = 15.96 - 15.57

0.23x = 0.39

x = 0.38 / 0.23 = 1.7 hours

Convert 0.7 into minutes

0.7 hours * (60 min / 1 hour) = 42 min

So the prices are the same 1 hour and 42 min after noon, which is 1:42 PM

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • It takes 40 minutes to fill a water tank, and 60 minutes to drain it. How many hours will it take to fill the tank while drainin
    6·1 answer
  • What is -15.5t + 13.24 = -13.44 + 10.56 – 3.1t
    13·2 answers
  • Answer and I will give you brainiliest <br>​
    7·2 answers
  • Gavin drank 3/4 of a liter of orange juice from a container, which 3/8 of the orange juice that was originally in the container.
    12·1 answer
  • PLEASE HELP ME!! Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quad
    9·1 answer
  • Some parts of California are particularly earthquake-prone.
    8·1 answer
  • PLEASE HELP ME!!!
    10·1 answer
  • 17/8 as an improper fraction
    14·2 answers
  • Renaldo earned $45 organizing the science section of the library. If
    9·1 answer
  • MAX POINTS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!