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KatRina [158]
3 years ago
6

A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m

, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{6\,\text{cm}}6cmstart color #11accd, 6, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Mathematics
2 answers:
erma4kov [3.2K]3 years ago
8 0

Answer:

The area of the shaded region is 148.04 cm².

Step-by-step explanation:

It is provided that a 7 cm × 5 cm rectangle is inside a circle with radius 6 cm.

The sides of the rectangle are:

l = 7 cm

b = 6 cm.

The radius of the circle is, r = 6 cm.

Compute the area of the shaded region as follows:

Area of the shaded region = Area of rectangle - Area of circle

                                            =[\text{l}\times\text{b}]-[\pi\test{r}^{2}]\\\\=[7\times5]+[3.14\times 6\times 6]\\\\=35+113.04\\\\=148.04

Thus, the area of the shaded region is 148.04 cm².

Brums [2.3K]3 years ago
4 0

Answer:

its 78.1

Step-by-step explanation:

You might be interested in
algebraically determine the values of h and k to correctly complete the identity stated below : 2 x cubed - 10x squared + 11x -
11Alexandr11 [23.1K]

Answer:

The values for expression is h = - 2 and k = 5

Step-by-step explanation:

Given algebraic expression can be written as :

2 x³ - 10 x² + 11 x - 7 = ( x - 4 ) × ( 2 x² + h x + 3 ) + k

Now opening the bracket

Or, 2 x³ - 10 x² + 11 x - 7 = x × ( 2 x² + h x + 3 ) - 4 × ( 2 x² + h x + 3  ) + k

Or, 2 x³ - 10 x² + 11 x - 7 = 2 x³ + h x² + 3 x - 2 x² - 4 h x - 12  +k

Or , 2 x³ - 10 x² + 11 x - 7 = 2 x³ + ( h - 2 ) x² + ( 3 - 4 h ) x - 12  + k

Now, equating the equation both sides

I.e  - 10 =  ( h - 2 )

Or , h - 2 = - 10

I.e , h = - 10 + 2

∴ h = - 2

Again , 11  = ( 3 - 4 h )

or, 11 = 3 - 4 h

or, 11 - 3 = - 4 h

or, 8 = - 4 h

∴ h = \frac{-8}{4}

I.e h = - 2

Again

- 7 = - 12 + k

Or, k = - 7 + 12

∴  k = 5

Hence The values for expression is h = - 2 and k = 5    . Answer

5 0
3 years ago
How many triangles will there be in the 7th term of the following sequence?
nikitadnepr [17]
The answer is number 3.
4 0
2 years ago
What 2 numbers multiply to -147 but add to -14?
Bezzdna [24]
Okay, so let's go over multiplying negative numbers.  A positive times a positive is a positive, right?  But a negative times a negative is also a positive.  Only a negative times a positive (or a positive times a negative) gives you a negative number.  So, we know that one of our 2 numbers in this question must be negative; the other must be positive.

Let's now take a look at the factors of -147, starting with the positives.  Obviously, -147 and 1 are factors: -147 * 1 = -147.  What other factors of -147 are there?

What about 7?  Try it: -147 / 7 = -21.  So here are two factors: -21, and 7.  They multiply to -147.  Do they add up to -14?  Let's see: -21+7 = 7+(-21) = 7-21= -14.  Yup, that works!

Answer: -21 and 7
4 0
3 years ago
The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6)
Natalija [7]
First, let's use the given information to determine the function's amplitude, midline, and period. 

Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

Finally, we should determine the parameters of the function's formula by considering all the above.
     
                      Determining the amplitude, midline, and period 

The midline intersection is at y=5 so this is the midline. 

The maximum point is 1 unit above the midline, so the amplitude is 1. 

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.
 
                            Determining the type of function to use 

Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function. 

This means there's no horizontal shift, so the function is of the form -

a sin(bx)+d

Since the midline intersection at x=0 is followed by a maximumpoint, we know that a > 0.

The amplitude is 1, so |a| = 1. Since a >0 we can conclude that a=1. 

The midline is y=5, so d=5. 

The period is 4π so b = 2π / 4π = 1/2 simplified. 

f(x)1 sin   (\dfrac{1}{3}x) +5  = Solution
8 0
3 years ago
How do you find the least common for 3 and 8?
sesenic [268]

The least common multiple of 3 and 8 is 24.

The least common multiple of two numbers is the lowest value number that is a multiple of both the numbers. To find the least common multiple of 3 and 8, you first list their multiples:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

When you compare the two lists of multiples, you can see that the number 24 is the lowest number that is a multiple of both 3 and 8, so it is their LCM, or least common multiple.


<em>HOPE THAT HELPS!!!!</em>

8 0
3 years ago
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