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disa [49]
3 years ago
5

A circle is drawn within a square as shown.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Answer:

The answer is 168.56

first of all find the area of square

and then find area of circle  

now remove area of circle from area of the square

hope this helps you quickly

Step-by-step explanation:

IT WOULD BE D

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Given p = 3k + 8, express k in terms of p.
yuradex [85]

Answer:

  k = (p -8)/3

Step-by-step explanation:

To solve for k, we undo what is done to it.

  p = 3k +8 . . . . . given

  p -8 = 3k . . . . . . subtract the added constant

  (p -8)/3 = k . . . . . divide by the multiplier

The desired expression is ...

  k = (p -8)/3

3 0
3 years ago
Hello! Please answer (c). I'll put 16 points for this answer! I'm in middle school, not college. Please reply and take your time
ArbitrLikvidat [17]

Answer:

G = (3,1)

H = (0,4)

I = (-2,-3)

Step-by-step explanation:

ok the important thing to note here is in which quadrant the point will be after rotation. in the question it says the points are rotated 90degrees.

we can start by point G;

it is initially in 2nd quadrant. if we were to rotate it 90 to the right. it will become in the 1st quadrant. its intial point is (-1,3) so when you rotate it 90degree to right, the y value which is 3 become the x value and the x value will become the y value. also in the 1st quadrant all points are positive, there are no negative points, so the new point of G will be;

(-1, 3) after rotation is (3,1) you see y=3 became x=3 and x= -1 became x= 1

point H;

if we look at it after 90 degree rotation the point H will be in the 1st quadrant. and we know that in the 1st quadrant both x and y are positive.

so do the same thing flip the y value to x and x value to be y.

(-4, 0) after rotation is (0 , 4)

point I;

the point I which is (3, -2) is in the 4th quadrant. so its the same rule. when you rotate it 90 degrees flip x point with the y point and y point with the x point. you should know after rotation it will be in the 3rd quadrant. in the 3rd quadrant x is negative and y is also negative. so, our new x and y points for I will be both negative after we flip x and y.

(3, -2) after 90 degree rotation becomes (-2, -3)

3 0
3 years ago
Read the problem in the box below. Make a list to help you solve the problem,
romanna [79]
<h3>Answer: Choice A) 9 combinations</h3>

Explanation:

Imagine you had a table with 3 rows and 3 columns. The rows represent the possible main dishes (Chicken, Fish, Beef) and the rows represent the side dishes (Rice, Potatoes, Vegetables).

The table has 3*3 = 9 cells inside it. Each inner cell represents a different combo the customer can order.

7 0
3 years ago
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distri
Natali5045456 [20]

Complete Question

The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population from the bottom 80% is called the 80th percentile)

Answer:

a

 P(480 < X  <  590) =  0.3952  

b  

  x =  664.5

c

 x_1 =  474.67

The value is called the 40^{th} percentile

Step-by-step explanation:

From the question we are told that

The mean is \mu  =  500

The standard deviation is \sigma =  100

Generally the percentage of the score that are between 480 and 590 is mathematically represented as

P(480 < X  <  590) =  P(\frac{ 480 - 500}{ 100} < \frac{ X - \mu }{ \sigma }   < \frac{ 590 - 500}{ 100} )

Here \frac{ X -\mu}{\sigma }  =  Z

=> P(480 < X  <  590) =  P(\frac{ 480 - 500}{ 100} < Z  < \frac{ 590 - 500}{ 100} )

=> P(480 < X  <  590) =  P(-0.2< Z  < 0.9 )

=> P(480 < X  <  590) =   P(Z  < 0.9 ) -  P(Z

From the z table (reference calculator dot net )

P(Z  < 0.9 )=  0.81594

And

P(Z  < -0.2 )= 0.42074

=> P(480 < X  <  590) =   0.81594 -  0.42074

=> P(480 < X  <  590) =  0.3952

Converting to percent

P(480 < X  <  590) =  0.3952 *  100

P(480 < X  <  590) =  39.52\%

The percentage invited to join the club is the top 5% , this can be mathematically represented as

P(X >  x ) =  0.05

Here x is the score that is within the top 5%

=> P(X > x) = P( \frac{X -  \mu }{\sigma } > \frac{ x - 500}{100}  )= 0.05

Generally the critical value of 0.05 from the normal distribution table is

Z_{0.05} =  1.645

So

\frac{ x - 500}{100} =  1.645

=> x - 500  =  164.5

=> x =  664.5

Generally the probability of having a score that separates the top 60% of the population from the bottom 40%

P(X  > x_1 ) =  0.60

=> P(X >  x_1) =  P(\frac{ X  -  \mu }{\sigma }  >  \frac{x - 500}{100} ) =  0.60

The critical value of 0.60 from the normal distribution table is

Z_{0.60} =  - 0. 2533

So

\frac{x_1 - 500}{100} =  -0.2533

=> x_1 =  474.67

From the hint given we can see that this value is called the 40^{th} percentile

6 0
4 years ago
What is 6m+ 5 - 3m=7 (m-1)<br> Please answer ASAP
ELEN [110]

Step-by-step explanation:

6m+5-3m=7(m-1)

3m+5=7m-1

5+1=7m-3m

6=4m

6/4=m

3/2=m

I think it is correct .

5 0
3 years ago
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