The playing area of a board game is a rectangle with
the length of 14 inches and a width of 20 inches.
What is the area of the board game?

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Answer:

x = 70

Step-by-step explanation:

1. First, we need to know that the angle with 45 degrees and the angle with (2x-5) degrees are same-side interior angles, meaning they add up to 180 degrees. The equation of this can be written as so: [tex]2x-5+45= 180[/tex]

2. (Solving)

Step 1: Combine like terms.

Step 2: Subtract 40 from both sides.

Step 3: Divide both sides by 2.

Step 4: Check if solution is correct.

Therefore, x = 70.

Answer

Step-by-step explanation:

B=Bob, b=2-(1/2xL)

L= leroy

P<1000

Formula= LCM×GCD of the numbers÷The Given number

Answer:

4

Step-by-step explanation:

To find the average rate of change, we have to plug in the difference between the intervals with this equation: f(b) - (fa) / x₂ - x₁

Let f(a) = f(-1) = 4(-1) + 1

     f(b) = f(2) = 4(2) + 1

     x₂ = 2

     x₁ = -1

[4(2) + 1 - (4(-1) + 1)] / [2 - (-1)]

[8 + 1 + 4 - 1] / [3]

12 / 3 = 4

Answer:

1.74 X 10^-6

Step-by-step explanation:

Hope It helps

Step-by-step explanation:

a fence represents the circumference, the perimeter of the lot or yard.

remember, a rectangle has 2 parallel sides called the length, and 2 parallel sides called the width (altogether 4 sides).

therefore

perimeter = 2×length + 2×width

or with short variables

p = 2×l + 2×w

so, now we have 50 ft of fence available for the perimeter. and the length l = 13 ft.

since we have 2 lengths in the perimeter, these 13 ft are twice (2×13 = 26 ft) in the perimeter.

now, how much fence do we have left for the width ?

well, 50 - 26 = 24 ft

and again, this is the size of 2 sides (2×width) :

p = 2×l + 2×w

50 = 2×13 + 2×w = 26 + 2×w

2×w = 24

w = 12 ft

so, the width of the yard must not be bigger than 12 ft.

Answer:

loading, please wait...

Step-by-step explanation:

Answer:

2y + 5x

Step-by-step explanation:

{ 2y - 2x } - ( - 7x )

= 2y - 2x + 7x

= 2y + 5x

Answer:

answer in scientific notation.

PLZ answer quick, 30 points

Answer:

9

Step-by-step explanation:

All triangles (3 sided polygons) have angles added up to 180, so we can do the following:

(7x-1) + (7x+8) + (5x+2) = 180° - equation

7x-1 + 7x+8 + 5x+2 = 180° - "distribute"

19x - 1 + 8 + 2 = 180° - combine the x terms

19x + 9 = 180° - combine the integer terms

19x = 171 - subtract 9 form both sides

x = 9 - divide both sides by 19

Answer:

[tex]11 + 22q + 22 - 5q \\ = 33 + 17q[/tex]

9+10=21 yay

bababooey

Answer:

20 %

Step-by-step explanation:

5 divided by 20 equals x 100

Answer:

For this case we have the following functions transformation:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f1 (x) = (3x) ^ 2

Horizontal translations

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right.

f2 (x) = (3x-6) ^ 2

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

g (x) = (3x-6) ^ 2 + 3

Answer:

expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3

Step-by-step explanation:

Answer:

For this case we have the following functions transformation:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f1 (x) = (3x) ^ 2

Horizontal translations

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right.

f2 (x) = (3x-6) ^ 2

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

g (x) = (3x-6) ^ 2 + 3

Answer:

expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3

Answer:

x = 6

Step-by-step explanation:

(6x + 2) and 38 are vertically opposite angles and are congruent, then

6x + 2 = 38 ( subtract 2 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Answer:

converse: if a year has 366 days then it is a leap year

inverse: if it is not a leap year then it is not a year with 366 days

contrapositive: if a year does not have 366 days then it is not a leap year

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7.) LCM of 24, 48, 80

so, LCM = 2 × 2 × 2 × 2 × 3 × 5 = 240

8.) first three Common multiples of 3, 4, and 6

LCM = 12

first three common multiples of given numbers is first three multiples of their LCM, that is

9. LCM of 12, 16 and 24

LCM = 2 × 2 × 2 ×2 × 3 = 48

10. The day when the three of them will meet is LCM of the number of days they visit the library every week.

that is LCM of 2 , 3 and 4

that is 12

Answer:

7. 240

8. 12, 24, and 36

9. 48

10. 12

Step-by-step explanation:

7. Do the multiple of 24, 48, and 80. Then find the LEAST common number that all three numbers have in common. (Answer: 240)

8. Do the multiple of 3, 4, and 6. Then find 3 LEAST common numbers that all three numbers have in common. (Answer: 12, 24, and 36)

9. Do the multiple of 12, 16, and 24. Then find the LEAST common number that all three numbers have in common. (Answer: 48)

10. Do the multiple of 2, 3, and 4. Then find the LEAST common number that all three numbers have in common. (Answer: 12)

STEPS ON HOW TO SOLVE:

Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 3, 4, and 6. Write this prime number(2) on the left of the given numbers(3, 4, and 6), separated as per the ladder arrangement.

Step 2: If any of the given numbers (3, 4, 6) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.

Step 3: Continue the steps until only 1s are left in the last row.

The LCM of 3, 4, and 6 is the product of all prime numbers on the left, i.e. LCM (3, 4, 6) by division method = 2 × 2 × 3 = 12.

14. 37/50

16. 13/40

I just converted each fraction into a decimal.

18/25 = 0.72

3/4 = 0.25

11/35 is approximately 0.314

5/14 is approximately 0.357

Then choose a decimal in between and converted it back

Step-by-step explanation:

we need to find the slope of each line.

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

parallel lines have the same slope.

for a perpendicular line x and y in the slope ratio are put upside down, and the sign is flipped (+ to - and vice versa).

a.

2x - 8y = -24

2x + 24 = 8y

y = 2/8 x + 24/8 = 1/4 x + 3

the slope is 1/4 (always the factor of x).

4x + y = -2

y = -4x - 2

the slope is -4 = -4/1.

this line is therefore perpendicular to the first line.

x - 4y = 4

x - 4 = 4y

y = 1/4 x - 4/4 = 1/4 x - 1

the slope is 1/4.

this line is therefore parallel to the first line.

b.

3x - 9y = 9

9y = 3x - 9

y = 3/9 x - 9/9 = 1/3 x - 1

the slope is 1/3

3y = x + 12

y = 1/3 x + 4

the slope is 1/3.

this line is therefore parallel to the first line.

2x - 6y = 12

6y = 2x - 12

y = 2/6 x - 12/6 = 1/3 x - 2

the slope is 1/3.

this line is therefore parallel to the first line.

Answer:

32 square units

Step-by-step explanation:

You can split this shape into four different shapes:

2 unit by 2 unit triangle

2 unit by 2 unit square

2 unit by 6 unit triangle

To find the length of the big triangle, add the lengths of the small triangle,the square,and the bigger leg of the other triangle:

2 + 2 + 6 = 10

10 unit by 4 unit triangle

Then solve all these areas:

( 2 x 2 ) / 2 = 4 / 2 = 2

2 x 2 = 4

( 2 x 6 ) / 2 = 12 / 2 = 6

( 10 x 4 ) / 2 = 40 / 2 = 20

Then add all these areas together to get the total area of the composite shape:

2 + 4 + 6 + 20 = 32

Answer:

Equally likely

Step-by-step explanation:

Hope this is right!

Answer:

They are not equal.

Step-by-step explanation:

Hi there!

[tex]3^2+3^3[/tex] is not equal to [tex]3^5[/tex]. When two powers with the same base are added together, we cannot add the exponents to get the answer.

We can only add exponents to get the answer when two power with the same base are multiplied.

[tex]3^2+3^3\\= 9+27\\=36[/tex]

[tex]3^5\\=243[/tex]

They are not equal.

I hope this helps!

Answer:

81

Step-by-step explanation:

the 5 cm deep cup is 625 which is 5^4

that means that the 3cm deep cup should be 81 which is 3^4

the area is 160 cm^2

Standard Form:

93.195

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 93.195 =

 90  

+ 3  

+   0.1

+   0.09

+   0.005

Expanded Factors Form:

   93.195 =

 9 × 10  

+ 3 × 1  

+ 1 ×   0.1

+ 9 ×   0.01

+ 5 ×   0.001

Expanded Exponential Form:

 93.195 =

9 × 101

+ 3 × 100

+ 1 × 10-1

+ 9 × 10-2

+ 5 × 10-3

Word Form:

93.195 =

ninety-three and one hundred ninety-five thousandths

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Let's take length of HK = n

By using trigonometry,

Hence, value of HK = 44 cm

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin30=\dfrac{JK}{HK}[/tex]

[tex]\\ \rm\Rrightarrow sin30=\dfrac{22}{HK}[/tex]

[tex]\\ \rm\Rrightarrow HK=\dfrac{22}{sin30}[/tex]

[tex]\\ \rm\Rrightarrow HK=44[/tex]