What are the formulas for a 90, 180, 270, and 360 rotation?

Answer:

Area of the parallelogram = 107,555 square feet

Step-by-step explanation:

Let

h = height of the parallelogram

sin (112°) = h/200 feet

h = sin(112°) × 200

h = 0.927184 × 200

= 185.4368 feet

h = 185.44 feet

Area of the parallelogram = base × height

= 580 feet × 185.44 feet

= 107,555.2 square feet

To the nearest square root = 107,555 square feet

Area of the parallelogram = 107,555 square feet

Answer:

x = - 5

Step-by-step explanation:

The absolute value function always gives a positive result , then

| - 5 | = | 5 | = 5

Thus x = 5, x = - 5

the area of a cross section parallel to the base is the base

the base is 4inches by 3 inches

area is 12 square inches

perimeter is 2(L+W)=2(4+3)=2(7)=14 inches

area is 12 square inches

perimeter is 14 inches

Answer:

341 cm²

Step-by-step explanation:

The base is 11 x 11 = 121

Then there is 4 side that are triangles, 11 x 10 ÷ 2 = 55 ----->  55 x 4 = 220

220 + 121 = 341

Answer:

(11, 13)

Step-by-step explanation:

First Equation: x+y=24

Second Equation: y=x+2

x + (x + 2) = 24

2x + 2 - 2 = 24 - 2

2x/2 = 22/2

x = 11

y = (11) + 2

y = 13

Therefore, the solution to the system is (11, 13)

Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15

Answer:

-4 x 3/2

Step-by-step explanation:

It will end up being -6 which is less than -4.

Tell me if it is wrong.

Have a nice day!

Answer:

We can use the numbers -4 and [tex]\frac{3}{2}[/tex] to get a product less than -4.

-4 x  [tex]\frac{3}{2}[/tex]  = -6

So, the answer is less than -4.

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Have a great day!

Answer:

Step-by-step explanation:

Required equation:

Answer:

100,000,000,000

Step-by-step explanation:

1 000 000 times 100 000 = 100,000,000,000

Answer:

mean: 34/15=2.27

median: 2

range: highest-lowest...... 6-0=6

mid range: high + low divided by 2

6+0=6/2=3

Answer:

Mean: 2.27

Median: 2

Range: 6

Mid-range: 3

Step-by-step explanation:

The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.

2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34

There are 15 numbers in this data set.

34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)

2.27 is the mean.

-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The median is 2.

--------------------------------------------------------------------------------------------------------------

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The range is the smallest number subtracted from the largest number.

6 - 0 = 6

6 is the range.

--------------------------------------------------------------------------------------------------------------

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The formula for mid-range is:

Maximum value + largest value ÷ 2.

The largest value is 6.

The minimum value is 0.

6 + 0 = 6

6 ÷ 2 = 3.

The mid-range is 3.

Answer:

$172040

Step-by-step explanation:

187,000 (0.04) = $7480

23(7480) = $172040.

-----------------OR-----------------

187,000 x 0.04 x 23 = $172040

Answer:

weak negative

Step-by-step explanation:

because its in negative and its in the thousands place.

Answer:

C

Step-by-step explanation:

Answer:

(170.251 ; 205.949)

Step-by-step explanation:

Sample size, n = 34

Sample mean, xbar = 188.1

Population standard deviation, σ = 53.1

Confidence level = 95% ; Zcritical at 95% = 1.96

Using the confidence interval relation :

Xbar ± standard Error

Standard Error = Zcritical * σ/√n

Standard Error = 1.96 * 53.1/√34

Standard Error = 17.849

Lower boundary = (188.1 - 17.849) = 170.251

Upper boundary = (188.1 + 17.849) = 205.949

(170.251 ; 205.949)

Answer:

x = 33 degrees

Step-by-step explanation:

To get the value of x, we use the appropriate trigonometric ratio

The side that faces the right angle is the hypotenuse and we have this measure as 25

The side that measures 21 is adjacent to the angle x

So we have to use the trigonometric ratio that connects the hypotenuse and the adjacent

The trigonometric ratio that does this is the cosine

so;

cosine is the ratio of the adjacent to the hypotenuse

So therefore;

cos x = 21/25

x = arc•cos (21/25)

x = 33 degrees

Answer:

[tex]\frac{a12}{b3}[/tex]

Step-by-step explanation:

Hope this is right and helps you!

Answer:

a^12/b^9

Step-by-step explanation:

You need to multiply the exponent -3 to every other exponent

So then you would end up with a^6b^-6/a^-6b^3

Now you need to flip the negative exponents to the other side which would be a^12/b^9

Answer:

18 ft^2

Step-by-step explanation:

Answer:

18 bacteria

Step-by-step explanation:

The formula for Exponential growth is given as:

y = a (1 + r)^t

a = Initial sample size = 5

y = Sample size after time t

r = Growth rate = 6% = 0.06

t = Time in hours = 22

Hence,

y = 5 (1 + 0.06)²²

y = 5 × 3.6035374165783565

y =18.017687083 bacteria

Approximately = 18 bacteria

Therefore, there would be 18 bacteria in the sample after 22 hours

Answer:

0.221354166667

Step-by-step explanation:

Answer:

[tex]Total = 23\frac{1}{4}[/tex] cups

Step-by-step explanation:

Incomplete question.

See attachment for line plot

Required

Total cups drank in 10 days

The number of x at the top of each dataset represent the frequency (i.e. number of cups) drank on that day.

To get the total, we simply multiply this frequency by the accompanying dataset.

So, we have:

[tex]Total = 2 * 1\frac{1}{2} + 1 * 1\frac{3}{4} + 2 * 2 + 2 * 2\frac{3}{4} + 3 * 3[/tex]

Express fractions as improper fraction

[tex]Total = 2 * \frac{3}{2} + 1 * \frac{7}{4} + 2 * 2 + 2 * \frac{11}{4} + 3 * 3[/tex]

Evaluate each product

[tex]Total = 3 + \frac{7}{4} + 4 + \frac{11}{2} + 9[/tex]

Take LCM

[tex]Total = \frac{12+ 7+16+22+36}{4}[/tex]

[tex]Total = \frac{93}{4}[/tex]

[tex]Total = 23\frac{1}{4}[/tex]

Answer:

1. 142

2. 38

3. 142

5. 142

6. 38

7. 142

8. 38

Step-by-step explanation:

Angles across from another angle in an x have the same value

A line has an angle of 180º so the angle on the other side of a split line is whatever angle would make it add up to 180

180º - 38º = 142º

The height of the recycling bin in centimeters is 125 cm.

Since the recycling bin is shaped like a right rectangular prism, the volume of the recycle bin is the volume of a rectangular prism. So, volume of recycle bin, V = lwh where l = length of recycle bin = 60 cm, w = width of recycle bin = 40 cm and h = height of recycle bin.

Since we require the height of the recycle bin, making h subject of the formula, we have

h = V/lw

Since V = 300000 cm³, substituting the values of the variables into the equation, we have

h = V/lw

h = 300000 cm³/(60 cm × 40 cm)

h = 300000 cm³/(2400 cm²)

h = 125 cm

So, the height of the recycling bin in centimeters is 125 cm.

Learn more about height of a rectangular prism here:

https://brainly.com/question/15199687

Answer:

a = 2.3

Step-by-step explanation:

[tex]2a = 4.6 \\ \frac{2a}{2} = \frac{4.6}{2} \\ a = 2.3[/tex]

Answer:

No

Step by step explanation:

a² + b² = c²

6² + 11² = 15²

36 + 121 = 225

157 =/= 225

Answer:

No

Step-by-step explanation:

15 would be the longest angle or, the angle directly across the right angle

To see if this is a right angle, you'd have to do 11²+6², if it was a right angle, the answer would be 15² which it isn't so, it's not a right angle

Answer:

2/36

Step-by-step explanation:

The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3