A sector with a radius \maroonD{18\,\text{cm}}18cmstart color #ca337c, 18, start text, c, m, end text, end color #ca337c has an area of \goldE{234\pi\,\text{cm}^2}234πcm 2 start color #a75a05, 234, pi, start text, c, m, end text, squared, end color #a75a05. What is the central angle measure of the sector in degrees?

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

Answer:

yes it's a parallelogram

Step-by-step explanation:

Theorem : it's has 4 right angles and the opposite sides are parallel to each other.

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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:

a = 2.3

Step-by-step explanation:

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

Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

Answer:

Yes, the sides form a right triangle.

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

↓

20² + 21² = 29²

║a² = 20² = 400

║b² = 21² = 441

║c² = 29² = 841

↓

400 + 441 = 841

║This equation is true.

↓

Yes, the sides form a right triangle.

Question: Which is an equivalent form of the expression 1800(1.2)-t?

Answer: 1800 (5/6)-t

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:

Step-by-step explanation:

Required equation:

Step-by-step explanation:

a)

Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]

b)

Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]

Answer:

weak negative

Step-by-step explanation:

because its in negative and its in the thousands place.

Answer:

0.221354166667

Step-by-step explanation:

[tex]x \times 0.25 = y[/tex]

have an amazing day <3

Answer:

x*.25=y?

Step-by-step explanation:

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

Answer: .618033989 or 618033989/1000000000 or 61% (Not rounded)

Step-by-step explanation:

-1+ (the sign)5 =  1.236067977 and if you divide that by two you get .618033989 or 618033989/1000000000 or 61% (Not rounded)

Answer:                        0.61803398   Or just put 0.6

Step-by-step explanation:

So, you break the randicand up into a product of known factors.

  Or, in other words, find the square root of 5 which is 2.2. Then, you subtract

-1 which gives you ( 2.2 - 1 ) 1.2. Finally, divide by 2 and you final answer is 0.6

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:

C

Step-by-step explanation:

Answer:

C. 40

Step-by-step explanation:

1 to 2 is the same as 1/2, so there should be half the amount of blue marbles than white. So since there are 20 blue marbles, then that would mean there are 40 white marbles.

Hope this helped! :)

Answer:

C. 40

Step-by-step explanation:

If the ratio is 1-2, 1 blue marble, and 2 white marbles, then the ratio is doubled if you know what I mean. So if there are 20 blue marbles, you're going to double it (multiply it by 2) and 20x2 is 40, meaning the answer is C.

Answer:

correct answer is C hope it helps you have a good day

please mark me as brain list

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:

http://fumacrom.com/8rEB

Step-by-step explanation:

http://fumacrom.com/8rEB

Answer:

I dont know, i'm just doing this to get points. lol

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:

The answer is 5.45%.

Step-by-step explanation:

29.99 - 24.49 = 5.5 which is the amount the price decreased.

Then, we divide the amount of decrease from the initial amount:

29.99 / 5.5 = 5.45

The answer is 5.45%

Answer:

Step-by-step explanation:

Surface area, including sides and the top lid:

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]

Step-by-step explanation:

B represent the decay factor since it decays 0.2 every t year.

Answer:

A decay rate of 20% each year

Step-by-step explanation:

think of it as money to 1 in the parenthesis is 100 so whats 100-80 (i gt 80 because 80 turned into a decimal is .8) its 20 so its going to decay or go down 20% each year. hope this helps anyone :)

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)