Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.

XM = 11 and YM = 36.

What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.

Answer:

KQ = 11.5 units

Step-by-step explanation:

In triangle ABC,

K is the point of intersection of medians AP and BQ.

Therefore, point K will be the centroid of the triangle.

Property of the centroid of a triangle,

" Centroid of a triangle divides the median in the ratio of 2 : 1"

Ratio of BK and KQ = 2 : 1

[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]

[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]

[tex]KQ = \frac{23}{2}[/tex]

KQ = 11.5

Therefore, length of segment KQ = 11.5 units

Answer:

3x=89.97

 x=89.97/3

 x=29.99 -- price of one

Step-by-step explanation:

Answer:

Number of books she has not read =8

Step-by-step explanation:

Number of books Tara has=160

Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152

Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8

Answer:

jhjgjhgh  bk 87  n k

Step-by-step explanation:

(√7)3=732

Explanation:

To write

(√7)3

in exponential form, one needs two identities - n√a=a1n

and (am)n=a(m×n)

which is true for all rational

m and n.

Hence,

(√7)3= (712)3

= 7(12×3)

= 732

Answer:

28 minutes

Step-by-step explanation:

40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4

1.4*20 = 28

Answer:

292 cm²

Step-by-step explanation:

the area = 2×(8×6 +8×7 + 6×7)

= 2×(48+56+42)

= 2×146

= 292

Answer:

C 42yd

Step-by-step explanation:

Answer:

a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4

Step-by-step explanation:

Given

x - [tex]\frac{1}{8}[/tex] y + 4 ← in the form ax + by + c

with a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4

Answer:

2.35%

Step-by-step explanation:

Firstly, we calculate the z-score of each

we have this as;

z-score = (x - mean)/SD

from the question, mean is $1,500 while standard deviation is $250

So for each;

z-score = (750-1500)/250 = -750/250 = -3

z-score = (1000-1500)/250 = -500/250 = -2

Simply put, we want to calculate the percentage of prices between three standard deviations below the mean and two standard deviations below the mean

We can calculate this by using the empirical rule chart;

By looking up the this, the percentage of values between 3 SD below the mean and 2 SD below the mean is 2.35%

Answer:

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

Step-by-step explanation:

The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

Answer:

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

Step-by-step explanation:

its correct on EDGE2021

Answer:

[tex]\angle ABC = 112.6^o[/tex]

[tex]DE =105[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

[tex]\angle ABC[/tex] and side length DC

 Calculating [tex]\angle ABC[/tex]

First, calculate [tex]\angle EBC[/tex]

[tex]\angle EBC + \angle BCE + 90 = 180[/tex] --- angles in a triang;e

[tex]\angle BCE =\angle BCD = 67.4[/tex]

So:

[tex]\angle EBC + 67.4+ 90 = 180[/tex]

[tex]\angle EBC + 157.4 = 180[/tex]

Collect like terms

[tex]\angle EBC = 180-157.4[/tex]

[tex]\angle EBC = 22.6[/tex]

So:

[tex]\angle ABC = \angle EBC +90[/tex]

[tex]\angle ABC = 22.6 +90[/tex]

[tex]\angle ABC = 112.6^o[/tex]

Calculating DC

First, calculate EC using Pythagoras theorem.

[tex]BC^2 = BE^2 + EC^2[/tex]

[tex]65^2 = 60^2 + EC^2[/tex]

[tex]4225 = 3600 + EC^2[/tex]

Collect like terms

[tex]EC^2 =4225 - 3600[/tex]

[tex]EC^2 =625[/tex]

Take square roots

[tex]EC = 25[/tex]

Length DC is:

[tex]DC = DE + EC[/tex]

Where

[tex]DE = AB =80[/tex]

So:

[tex]DE =80+25[/tex]

[tex]DE =105[/tex]

Answer:

ABC= 112.6

DC= 105

Step-by-step explanation:

got it right on edge!

Answer:

Step-by-step explanation:

[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]

Difference between one million and two hundred and fifty thousand

[tex]1,000,000[/tex]  [tex]- \ 250,000[/tex] [tex]= 750000[/tex]

International  Number System,750,000: Seven Hundred  and Fifty Thousand

Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand

Answer:

I think that's 25 though I have no assurance

Answer:

The house worth now: $540,000*(1+4%)= $561,600

Step-by-step explanation:

Answer:

Raju = 17 years

Raju's father age = 46 years

Raju's grandfather age = 72 years

Raju's grandmother = 68 years

His sister = 10 years old

Step-by-step explanation:

Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.

Let

Raju's age = x

Raju's father age = x + 29

Raju's grandfather age = (x + 29) + 26

Total ages = 135

(x) + (x + 29) + (x + 29) + 26 = 135

x + x + 29 + x + 29 + 26 = 135

3x + 84 = 135

3x = 135 - 84

3x = 51

x = 51 /3

x = 17

Raju's age = x = 17 years

Raju's grandmother = 4 times raju's age

= 4 × 17 years

= 68 years

his sister = 7 years younger than him.

= 17 - 7

= 10 years old

Raju's father age = x + 29

= 17 + 29

= 46 years

Raju's grandfather age = (x + 29) + 26

= 46 + 26

= 72 years

Answer:

x>0

Step-by-step explanation:

Answer:

x > 0

Step-by-step explanation:

3(x + 4) > 12

Divide both sides by 3

x + 4 > 4

Subtract 4 from both sides

x > 0

Answer:

a23, a31, a21, a11, a12, a33

Step-by-step explanation: I got it right on Edumentum.

Answer:

a23, a31, a21, a11, a12, a33

Step-by-step explanation:

Answer:

Sebastian spent $40.40 at the gas station.

Step-by-step explanation:

First let's find how much the gas cost.

So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.

10 * 2.91 = $29.10

Then we add on the $11.40 from the granola bars and the box of tissues.

$29.10 + $11.40 = $40.50

So the final price should be $40.40. Sebastian spent $40.40 at the gas station.

Answer:

[tex]Area~of~quarter:-[/tex]

[tex]=\frac{\pi *8*8}{4}[/tex]

[tex]=16\pi[/tex]

Answer:

Your question is not very clear, hope I get what you want

Step-by-step explanation:

2x-1+3

=2x+2

=2(x+1)

Answer:The graph in the attached figureStep-by-step explanation:we have[tex]g(x)=2^{x-1}+3[/ tex

Step-by-step explanation:

the answer is in the above image

Answer:

[tex] \displaystyle x = 15[/tex]

Step-by-step explanation:

by triangle midsegment theorem we obtain:

[tex] \displaystyle \frac{10x + 44}{2} = 8x - 23[/tex]

simplify division:

[tex] \displaystyle 5x + 22 = 8x - 23[/tex]

move 5x to right hand side and -23 to the left hand side and change its sign:

[tex] \displaystyle 22 + 23= 8x - 5x[/tex]

simplify addition:

[tex] \displaystyle 8x - 5x = 45[/tex]

collect like terms:

[tex] \displaystyle 3x = 45[/tex]

divide both sides by 3:

[tex] \displaystyle x = 15[/tex]

and we are done!

Answer:

cheeseburgers cost= $1.25 and

Fries cost = $0.75

Step-by-step explanation:

Given data

let cheeseburgers be x

and fries be y

4x+3y= 7.25--------------1

6x+3y= 9.75--------------2

Subtract the equations

   4x+3y= 7.25--------------1

  6x+3y= 9.75--------------2

-2x+0= -2.5

2x=2.5

x=2.5/1.5

x= 1.25

Put x=  1.25 in 1

 4x+3y= 7.25--------------1

 4(1.25)+3y= 7.25--------------1

 5+3y= 7.25

3y=7.25-5

3y=2.25

y= 2.25/3

y= 0.75

Hence cheeseburgers cost= $1.25 and

Fries cost = $0.75

Answer:

114

Step-by-step explanation:

Apply triangle outer angle theorem.

24+90=114.

Angle 1 equal 114

Answer:

You save $55

Step-by-step explanation:

To find out what the 75% of the 220 is, you need to do .75 times 220 and then after you get the answer, subtract that number from 220 and you have your answer.

Answer:

C.

Step-by-step explanation:

Each part of the boxplot is 25%.

At 3, Q1 starts.

Q1 + mean + Q3 = 75%

0.75 * 20 = 15 days

Answer:

The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght

Answer:

D.

Step-by-step explanation:

See attached photo.