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Answer:

110

Step-by-step explanation:

The angle with given measure 110 and the angle that is represented with letter d are alternate angle and the measure of alternate angles is equal to each other

so the measure of d = 110

#1

False

#2

False

#3

False

None of the above

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:

[tex]x=2\sin t[/tex]

[tex]\implies \sin t=\dfrac{x}{2}[/tex]

Substitute this into the given equation for [tex]y[/tex]:

[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]

Therefore, the Cartesian form of the parametric curve is:

[tex]y=\dfrac{3}{2}x[/tex]

Further Information

[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]

[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]

[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]

[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]

Answer: 60%, or D. hope this helps!

Step-by-step explanation:

Add all Blue - 30 + 20 = 50  so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%

Answer:

D. 60%

Step-by-step explanation:

50 total blue candies (20 + 30)

30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%

Answer:

[tex]8w+\frac{12}{4}[/tex] = 8w+3

[tex]\frac{8w+12}{4}[/tex] = 2w+3

Step-by-step explanation:

For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.

For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.

The correct value of this simplified expression is 8w + 3

- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.

- Simplification of a number is just the division of the same divisor by the numerator and denominator.

Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:

8w + 12 / 4

8w + 12 ÷ 2 / 4 ÷ 2

8w + 6 /2

It is still possible to simplify this expression - dividing the numerator by the denominator, so:

8w + 6 /2

8w + 6 ÷ 2

8w + 3

Therefore, the correct answer of this expression will be 8w + 3

Answer:

Do the area divided by the base on a calculator for the answer

Answer:

Height of the window= 25 inches

Step-by-step explanation:

Area of a parallelogram : base * height (of the side taken as base)

so height = area/base =  356.25/14.25 = 25 inches

Answer:

p(a tail on the second toss) = 4/8

p(exactly one head) = 3/8

p(a head on each of the last two tosses) = 2/8

Step-by-step explanation:

Answer:

$46.20

Step-by-step explanation:

Do 8.80 times 7 to get 61.6 then divide by four to get 15.40 then subtract it by 61.6 to get 46.20

Answer:

B)  35.4 ft²

Step-by-step explanation:

Area of a sector

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{110^{\circ}}{360^{\circ}}\right) \cdot3.14 \cdot 6^2\\\\& =\left(\dfrac{11}{36}}\right) \cdot3.14 \cdot 36\\\\& =34.54\\\\ & = 35.4\: \sf ft^2 \: (nearest\:tenth)\end{aligned}[/tex]

Hi Student!

Looking at the problem, we first need to determine the important information that is given to us.  We can see that we are given a radius of 6 feet and a central angle of 110 degrees.  We will need to use both of these given values in our problem.

The second step that we need to take, after gathering our information, is to convert our degrees to radians.  The purpose of this is because in our formula we must use radians instead of degrees.  To convert degrees to radians, we multiply it by π/180.

[tex]110\ degrees\ *\ \frac{3.14}{180\ degrees}[/tex]

[tex]1.919[/tex]

Now that we have our angle converted to radians, we can plug our information into the formula and solve.

[tex]Sector\ Area = r^2\ *\ \frac{angle}{2}[/tex]

[tex]Sector\ Area = (6\ ft)^2\ *\ \frac{1.919}{2}[/tex]

[tex]Sector\ Area = 36\ ft^2\ *\ 0.9595[/tex]

[tex]Sector\ Area = 34.542\ ft^2[/tex]

Therefore, after solving the entire equation down to the end, we can see that our answer is 34.542 feet squared.  This matches option B which would be our answer.

Answer:

13

Step-by-step explanation:

26.5 - 13.5 = 13

Answer:

20/39.

Step-by-step explanation:

There are a total of 13 students.

Prob(Boy is selected) = 8/13

Prob(Girl is then selected) = 5/12

So probability ( Boy selected then a girl)  = 8/13 * 5/12 = 10/39

- and the probability of Girl then a boy selected is also  10/39

So the required probability = 2 * 10/39

= 20/39.

Answer:

2(x-3)² - 11 where a = 2, b = -3, c = -11

Step-by-step explanation:

Taking the first 2 terms,

2x² - 12x ==> 2(x² -6x)   [1]

x² -6x can be rewritten as (x -3)² - 9 [2]

since (x-3)² = x² -6x + 9  

Substituting for x² -6x in [1] we get

2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18

Therefore substituting for 2x² - 12x in the original equation we get

2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11

this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11

Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7

Answer:

Mean = 92

Median = 95.5

There is no mode.

What is mean, median, and mode?

Mean, median, and mode are terms in math when it comes to looking at charts and sets/groups of numbers.

1. The mean is the average of a data set.

2. The median is the middle of a data set.

3. The mode is the most common number in a data set.

Mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Before we start, let's put the set of numbers in order from least to greatest,

95, 97, 100, 86, 78, 96

78, 86, 95, 96, 97, 100

Now that we have done that let's find the mean,

78 + 86 + 95 + 96 + 97 + 100 = 552

There are 6 numbers in this set so we need to divide 552 by 6,

552 ÷ 6 = 92

92 is the mean/average of this data set,

Now let's find the median,

If we take a look at the data set we can see that there are two numbers in the middle because there are 6 in total,

78, 86, 95, 96, 97, 100

Because there are two values that are in the middle we need to add them up and divide the sum of them by 2,

95 + 96 = 191

191 ÷ 2 = 95.5

95.5 is the median of this data set,

Now let's find the mode,

If we take a look at the date set we can see that none of the numbers are repeated,

So this means there is no mode to this data set,

Therefore the mean is 92, the median is 95.5, and there is no mode.

Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

It is defined as the tax rate applied on the solely earned money by a single entity.

Julia paid to social security as a payroll tax = 6.2% of 2000

= (6.2×2000)/100

= $124

Julia paid to Medicare as a payroll tax = 1.45% of 2000

= (1.45×2000)/100

= $29

Julia paid a percent of her income to the federal government as an income tax:

= (260/2000)×100

= 13%

Julia paid a percent of her income to state government as an income tax:

= (120/2000)×100

= 6%

Thus, Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

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Reason:

Distance = rate*time

time = distance/rate

time = (38 miles)/(2 mph)

time = 38/2 hours

time = 19 hours

Answer:

1/18

Step-by-step explanation:

I have provided a tree diagram showing all the possibilities

Answer:

[tex]P=\frac{2}{9}=0.222\\[/tex] for green ball

[tex]P=\frac{2}{8} =0.25[/tex] for red ball

Step-by-step explanation:

For green ball probability will be,

[tex]P=\frac{2}{9}=0.222\\[/tex]

while for the red ball, it will be,

[tex]P=\frac{2}{8} =0.25[/tex]

Answer:

  (a)  362.5 m²

Step-by-step explanation:

The ratio of areas is proportional to the square of the ratio of side lengths.

__

  larger/smaller = (35 cm)/(28 cm) = 5/4

The larger area is the square of this scale factor times the smaller area.

  (5/4)²(232 m²) = 362.5 m²

_____

Additional comment

We assume the units are intended to match. It is impossible for a pentagon with a side length of 28 cm to have an area of 232 m². A regular pentagon with a side length of 28 cm will have an area of about 0.1349 m².

Answer:

90

Step-by-step explanation:

each minute on the clock is 6 degrees so 6*5=30= 1 hour

30*3=90 because 3 hours

Answer:

6.228

Step-by-step explanation:

Answer:

-x^2-4x+2

Step-by-step explanation:

(-2,6) (0,2) (2,-4)

The total wages of Steve will be equal to W=$560 worked for 56 hours.

The amount of money charged by a worker for working for a particular company on an hourly or day basis is called the wages.

Here the time of the worker is given as . he worked 40 hours at a regular rate, 8 hours at a time and a half and 8 hours at double time and the earning per hour is $10.

The total time will be:-

40+8+(1÷2)x8x2=56

Now the total earnings will be given as:-

T=10x56=$560

Hence the total wages of Steve will be equal  W=$560 worked for 56 hours.

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Answer:

384 square centimeters

Step-by-step explanation:

The surface area formula for a cube is 6L^2

(L=length or in this case edge)

Plug in values and solve the formula.

SA=6L^2

SA=6(8^2)

SA=6(64)

SA=384 square centimeters

Answer:

66 hours

Step-by-step explanation:

Monday through Friday is 45 hours

and Saturday and Sunday is 21 hours

Answer:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Step-by-step explanation:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Answer:

Jamel work one job per hour pays =$10

Jamel work Another pays=$15

Jamel Uniform costs=$50

Total situation=$7,500

Answer:

Below in bold.

Step-by-step explanation:

109, 94, 87, 103, 89, 112, 98, 115, 99

First arrange them in ascending order.

87 89 94 98 99 103 109 112 115

The median is the middle value:

= 99.

The lower quartile

= (89+94) / 2

= 183/2

= 91.5.

Answer:

60 degrees

Step-by-step explanation:

Angles in a triangle add up to 180

79 add 41 is 120

180 minus 120 is 60

Answer:

$0.51 per golf ball.

Step-by-step explanation:

9.26 divided by 18 is 0.51.

Answer:

$1.94 dollars

Step-by-step explanation:

hehe

Answer:

49.12 ft squared

Step-by-step explanation:

1/2(6*8) = 24

1/2(16)pi = 8pi = 25.12

total: 49.12

Answer:

y₂ = -3

x₁ = 2

x₂ = 2

Slope = ( 1 + 3) / 0 = undefined

y₁ = 1

y₂ = 4

x₁ = 2

x₂ = 5

Slope = ( 1-4) / (2-5) = 1

y₁ = 4

y₂ = 1

x₁ = 5

x₂ = 7

Slope = (4-1) / ( 5-7 ) = -1.5

y₁ = -3

y₂ = 1

x₁ = 2

x₂ = 7

slope = (-3-1) / ( 2-7) = 4/5