Find the area of the shaded polygons

Answer:

1. 140

2. 32

3. 114

4. 660

Step-by-step explanation:

Practising and Applying

1. Find the lowest common multiple of

each group. Show the factors you used.

a) 5, 20, and 28

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150

Multiples of 20:

20, 40, 60, 80, 100, 120, 140, 160, 180

Multiples of 28:

28, 56, 84, 112, 140, 168, 196

Therefore,

LCM(5, 20, 28) = 140

b) 4, 8, and 32

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 8:

8, 16, 24, 32, 40, 48

Multiples of 32:

32, 64, 96

Therefore,

LCM(4, 8, 32) = 32

3. 38 and 57

Multiples of 38:

38, 76, 114, 152, 190

Multiples of 57:

57, 114, 171, 228

Therefore,

LCM(38, 57) = 114

4. 5, 22, and 121​

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620, 625, 630, 635, 640, 645, 650, 655, 660, 665, 670

Multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684

Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704

Therefore,

LCM(5, 12, 22) = 660

Answer:

x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Like terms have same variable.

Given term          like term

-19m                         5m

28                           952

42bc                         -2bc

-y                                7y

2r                                45r

Answer:

9.

Step-by-step explanation:

Answer:

$22

Step-by-step explanation:

Given data

Principa= $20

rate= 10%

time= 1 year

The simple interest expression is given as

A= P(1+rt)

substitute

A= 20(1+0.1*1)

A= 20*1.1

A= $22

Hence the amount after 1 year is  $22

Answer:

d = 3 and d = 3/4

Step-by-step explanation:

This is a quadratic eqution.  Let's use the quadratic formula to solve it.

If ax^2 + bx + c = 0, then:

      -b ± √(b^2 - 4ac)

x = ---------------------------

                 2a

With a = 4, b = -15 and d = 9, we have:

      -(-15) ± √(225 - 4(4)(9) )        15 ±√81         15 ±9

d = ------------------------------------ = -------------- = -------------- = 24/8 and 6/8

                      2(4)                              8                   8

Simplifying these results, we get d = 3 and d = 3/4

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

Answer:

You can hack it double click and press inspect for answers

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

divide it

45/.7

Answer:

The amount in the account after 3 years is $672.00

Step-by-step explanation:

Here, we want to use the compound interest formula

A = P(1 + r/n)^nt

A is the amount in the account after the given time

P is the principal which is the deposit amount = $600

r is the interest rate = 3.85% = 3.85/100 = 0.0385

n is the number of times interest is compounded yearly (since it is annually, n = 1)

t is the time in years = 3

Substituting these values;

A = 600(1 + 0.0385/1)^(3 * 1)

A = 600(1.0385)^3

A = $672

Answer:

m<A = 72 degrees

m<B = 108 degrees

Step-by-step explanation:

For the parallelogram ABCD

The sum of the opposite angle will be 180 degrees

Hence <A + <B = 180 and m<A = m<C

5y - 3 = 3y + 27

5y - 3y = 27 + 3

2y = 30

y = 30/2

y = 15

Get m<A

m<A = 5y - 3

m<A = 5(15)-3

m<A = 75 - 3

m<A = 72 degrees

Get m<B

From the equation above;

m<B = 180 - m<A

m<B = 180  - 72

m<B = 108degrees

Answer:

Wait no I apologize. This is the right one.

Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

Answer:

15 is a

Step-by-step explanation:

Answer:

its B, since 2 x 18 = 36

Step-by-step explanation:

Answer:

18 books

Step-by-step explanation:

there is 2 books in group 2 so that means you do

36 / 2 = 18

one book represents 18 books

Answer:

y=0.5x

Step-by-step explanation:

Answer:

y = 1/2x

Step-by-step explanation:

Answer:

The y intercept is 3

Step-by-step explanation:

Answer:

y=4x-8

Step-by-step explanation:

1) The slope-intercept form of an equation looks like this:

y=mx+b

The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

2)We have the slope you entered in, so we'll plug that in first:

y=4x+b

3) Now, let's plug in that point you entered in to solve for b:

​ y=4x+b

8=4(4)+b

8=16+b

8-(16)=b

-8=b

4) Now that we have both our slope, m, and our y-intercept, b, values, we can plug them in to get our equation:

y=mx+b

y=4x-8

​  

Answer: 369,600 feet per hour.

Step-by-step explanation:

The correct answer to this question is that the cheetah can run 369,000 feet per hour. We can work this out in the following way:

One mile equals 1760 yards

In feet that is 3 x 1760 or 5,280

So Feet per hour will be 5280 x 70 or

369,600 feet per hour.

Answer:

6160 feet per minute

Answer:

axis of symetry

Step-by-step explanation:

Beast_Building on yt

Answer:

the answer is 3 b. multiplied by 6

Answer:

hey i am also on this problem did you ever figure it out

Answer:

correct me if Im wrong but

I think it would be 35.293

Answer:

I think it's D.

Step-by-step explanation:

So if the x is -1,700 and it stands for the years, then times it by 7. That would make -11,900. After you times it, add the 32,000 dollars and you would get $20,100. (I might have done the math wrong but I think this is the answer,)

Step-by-step explanation:

In the 1st one,

E.x

[tex]2x + 5 = 2x + 3[/tex]

In the 2nd one,

This equation will have only 1 solution if you solve it.

In the 3rd one

E.x

[tex]2x + 9 = 2x + 9[/tex]

You can plug any x value into the problem and it would be true.

Answer: y=-8

Step-by-step explanation: I will assume you want the solution in slope intercept form. First, we must find the slope of this line. Since between the two points the y value doesn't change, this means our line is horizontal. So far, we have y=0x+b, since anything multiplied by 0 is zero, we can get rid of that. This line is a horizontal line, and we have the y value, so out equation is y=-8.

(−0.0081p)(t)=(15000)(2.718282)

Step 1: Divide both sides by -0.0081t.

−0.0081pt

−0.0081t

=

40774.227427

−0.0081t

p=

−40774.227427

0.0081t

Answer:

p=

−40774.227427

0.0081t