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
maw [93]
3 years ago
14

Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.

Mathematics
2 answers:
Elenna [48]3 years ago
8 0

Answer:

The area of blue sector is 25.64 in²

Step-by-step explanation:

In the given figure, we need to find the area of blue section whose central angle is 60°

Formula:

\text{Area of sector}= \dfrac{\theta}{360^\circ}\times \pi r^2

Radius of circle (r)=7 in

\theta = 60^\circ

Substitute the value into formula and find area of sector.

\text{Area of blue sector}= \dfrac{60}{360}\times3.14\times 7^2

\text{Area of blue sector}= 25.643\approx 25.64\text{ in}^2

Hence, The area of blue sector is 25.64 in²

raketka [301]3 years ago
7 0
I hope this helps you

You might be interested in
Please find the volume of the cone!!
daser333 [38]

volume =  \frac{1}{3} \times \pi \times  {r}^{2}  \times h

Plugging in our values,

volume =  \frac{1}{3} \times 3.142 \times {1}^{2}  \times 2 =  \frac{1}{3}  \times 3.142 \times 2 = 2.095{m}^{3}  \\

So the answer is,

2.095{m}^{3}

4 0
2 years ago
Rachel has taken 6 tests so far and has received scores of 83%, 92%, 79%, 88%, 89%, and 95%. What must Rachel receive on her sev
Vinil7 [7]
Let the score on her seventh test be "x".

SO,

\frac{83+92+79+88+89+95+x}{7} =90\\\\ \frac{526+x}{7}=90\\\\ 526+x=630\\\\x=630-526\\\\ \boxed{x=104}

∴ He must get 104% on his seventh test to get an average score of 90%
5 0
3 years ago
Read 2 more answers
Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))
sergejj [24]

Answer:

\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

\displaystyle f(g(x)) = g(f(x)) = x

So, we can let <em>j</em> be the inverse function of <em>h</em>.

Function <em>h</em> is given by:

\displaystyle h(x) = y = 3x-2

Find its inverse. Flip variables:

x = 3y - 2

Solve for <em>y. </em>Add:

\displaystyle x + 2 = 3y

Hence:

\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.

We can verify our solution:

\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}

And:

\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x  \stackrel{\checkmark}{=} x\end{aligned}

3 0
2 years ago
the imax screen at the michigan science center is 22 meters wide and 16.1 meters tall. what is diagonal length of the screen? us
Fudgin [204]
Hypotenuse therom ( a^2 + b^2 = c^2)

1) find c^2

22^2 + 16.1^2= c^2 ———->743.21

2) square root c^2 to find c

square root of 743.21 = 27.2 so D
4 0
1 year ago
Find the area of the shaded region<br> 10cm by 8cm
EastWind [94]
80 is the answer to your problem
7 0
3 years ago
Other questions:
  • I think its b
    9·1 answer
  • Graph the line with the slope of 3/5 and goes through the point (1,2)
    7·1 answer
  • A water sprinkler system can water
    7·2 answers
  • A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included
    10·1 answer
  • Common factors of 128 and 192
    9·2 answers
  • What is a square root inequality?
    12·2 answers
  • Estimate the minimum value of the system by graphing.
    7·1 answer
  • what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
    15·1 answer
  • Write the equation of the line parallel to the line and passing through the point.
    15·1 answer
  • you hope to borrow $450,000 at 7% interest per annum compounded quarterly. You will repay the loan in one payment at the end of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!