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
r-ruslan [8.4K]
3 years ago
10

work out the area of a sector of a circle. give your answer in terms of π, can u plz show how u worked it out, thx :)

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad 
\begin{cases}
\theta=\textit{angle in degrees}\\
r=radius\\
--------\\
r=8\\
\theta=40
\end{cases}\implies A=\cfrac{40\cdot \pi \cdot 8^2}{360}
You might be interested in
Write a recursive definition for the sequence 14, 10, 6, 2...
VladimirAG [237]
The general form of recursive definition for arithmetic sequence:
a_{n}=a_{1}+d(n-1)

So, what we need to do is to find a_{1} and d.
a_{1}=14
d=a_{2}-a_{1}=10-14=-4
Having found these two values we can now define our recursive sequence:
a_{n}=14-4(n-1)
a_{n}=14-4n+4
a_{n}=18-4n
7 0
3 years ago
Read 2 more answers
Find the equation of the line that is perpendicular to y = 1/4 x – 2 and passes though the point (5, –2).
zlopas [31]

\textsf{Let y = ax + b the line we want to find.}

\textsf{We know that the slope of y = ax + b is the inverse of the slope of } \mathsf{ y = \frac{1}{4}x - 2.}

\textsf{Thus:}

\mathsf{a = \dfrac{1}{\frac{1}{4}} = 4}

\textsf{As y = 4x + b passes thought (5, -2):}

\mathsf{-2 = 4 \cdot 5 + b  \Rightarrow 20 + b = -2 \Rightarrow b = -22}

\textsf{Hence the line y = 4x - 22 is perpendicular to }\mathsf{y=\frac{1}{4}x - 2}\textsf{ and passes for the point (5, -2).}

6 0
3 years ago
Read 2 more answers
For the following right triangle, find the side length x
Aleks [24]

Answer:

x = 25

Step-by-step explanation:

b² + h² = x²

24² + 7² = x²

576 + 49 = x²

625 = x²

√625 = √x²

25 = x

7 0
3 years ago
Read 2 more answers
*Due tonight, plz help*
aleksandrvk [35]

Answer:

the correct answer is 165

5 0
2 years ago
Read 2 more answers
How do you solve 21r < 7?
quester [9]
21r < 7
Divide by 21
r < 7/21
5 0
3 years ago
Read 2 more answers
Other questions:
  • Ok whoever answers this question correctly will get brainiest. HURRY
    11·2 answers
  • Write the equation of a line that passes through (-4,15) and (-7,10) in point slope form
    7·1 answer
  • Rewrite the expression 7(4+5) as the sum of 28 and another whole number
    9·1 answer
  • Question 3
    6·1 answer
  • 24=3r divided by 4. what is the value of r?
    14·2 answers
  • How do I find the correct y intercept and maximum point? Plz show how you got the answer.
    13·1 answer
  • Mia borrowed some money from her friend in order to help buy a new video game system. Mia agreed to pay back her friend $8 per w
    15·1 answer
  • Are 2z2 and 4z like terms? Why or why
    6·1 answer
  • Can someone help me with this math work my brain broke-
    5·1 answer
  • Can you guy help me I am stuck
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!