Use Figure 1 to evaluate each trigonometric function of angle A . The side adjacent to angle A has length 4 and the side opposite angle A has length 10.

There are many things obstructing the route so yes. I cannot give a detailed answer as I have not been given the "distance formula" sorry

The comparison done by Mr Jones means that Test A of standard deviation 7 is closer to the mean scores and Test B of standard deviation 12 is further apart from the mean score

The standard deviation is a statistic measure that expresses how much variance or dispersion there is in a group of numbers.

A high standard deviation suggests that the values are dispersed throughout a wider range,

A low standard deviation suggests that the values tend to be close to the established mean.

A positive value means the standard deviation is above the mean while a negative value means the standard deviation is below the mean

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Answer:

x=17

Step-by-step explanation:

8x+20 is equal to 11x-31 because l parallel to m.

8x+20=11x-31

3x=51

x=17

Answer:

Step-by-step explanation:

L || m

[tex]\sf (8x+20)^o=(11x-31)^o[/tex]

[ Corresponding angles]

[tex]\sf 8x+20=11x-31[/tex]

[tex]\sf 8x-11x=-31-20[/tex]

[tex]\sf -3x=-51[/tex]

[tex]\sf \cfrac{-3x}{-3}=\cfrac{-51}{-3}[/tex]

[tex]\sf x=17^o[/tex]

__________________

Hope this helps!

Have a great day!

The area of any circle is directly proportional to the square of the radius thus there are proportional relationships between the area of a circle and to the radius of the circle.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

The area of a circle with radius "r" is given as,

A = πr²

Since,π = constant.

Removing constant by proportionality.

A ∝ r²

Hence "The area of any circle is directly proportional to the square of the radius thus there are proportional relationships between the area of a circle and to the radius of the circle".

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Answer:

The ratio shows that there are 14 girls to 30 students in total

Step-by-step explanation:

14 + 16 = 30 that mean that there are 30 students in total, therefore, the ratio shows 14 girls : 30 students

Answer:

If the coordinates of at least two points in the line are given, the slope (m) may be calculated by,                               m = (y2 - y1) / (x2 - x1

Using the graph, the hourly wage of the employees is: $8 per hour.

Slope of a proportional graph is the unit rate between two variables, x and y, and it is calculated as: k = y/x.

To find the unit rate or slope of the graph, use any point on the graph (x, y).

The unit rate of the graph in the image above is the hourly wage of the employees.

Using any point on the line, say, (13, 104), we can find the slope/unit rate. Therefore:

Unit rate/slope, k = 104/13

Unit rate/slope, k = 8

Therefore, the hourly wage is: $8 per hour.

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⇒ ∠AEC is the angle vertical opposite to ∠BEC

Answer:

1.5 liters

Step-by-step explanation:

a. The penalty Lorna must pay is $26.86.

b. The total amount Lorna must pay on February 27 is $2037.74.

Given that,

On December 14, 2017, Lorna Hall's $2,010.88 real estate tax was due. Because of her job loss, Lorna was unable to pay her taxes until February 27, 2018. Late payment fees are assessed at a rate of 6 1/2% regular interest.

We have to find

a. What is the fine Lorna is required to pay

b. How much will Lorna owe in total on February 27.

First,

We know that,

i=p×r×t

Here,

i is interest.

p is principal amount.

r is rate of interest

t is time.

So, p is $2010.88

r is 6 1/2%

t is 17+31+27= 75 days is 75/365

So,

i= 2010.88×6 1/2×75/365

i= $26.86

The penalty Lorna must pay is $26.86.

Second,

We know that,

Total amount= real estate tax due amount+ Penalty pay.

Total amount= $2010.88+$26.86

Total amount= $2037.74

The total amount Lorna must pay on February 27 is $2037.74.

Therefore, a. The penalty Lorna must pay is $26.86.

b. The total amount Lorna must pay on February 27 is $2037.74.

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Answer:

x = 147°

Step-by-step explanation:

To find x, we have to find the angle measures in the small triangle.

180 - 61 = 119° (sum of adjacent angles on straight line=180)

The other angle measure in the triangle is 28° because they are vertically opposite angles.

We subtract 119° and 28° to find the angle measure next to x.

180 - 119 - 28 = 33° (sum of angles in a triangle=180)

x = 180 - 33

= 147° (sum of adjacent angles on straight line=180)

Answer:

use AAA congurency rule

Step-by-step explanation:

angle a=angle f

angle b=angle e

angle c= angle d(a+b+c=180 when the triangle 2 sides are equal that means 3 is also equal)

Answer:

Step-by-step explanation:

Answer:

[tex]\textsf{b)} \quad \text{P}(A\;\text{and}\;B)=\dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\text{P}(A)=\dfrac{1}{4}[/tex]

[tex]\text{P}(B)=\dfrac{1}{4}[/tex]

[tex]\text{P}(A|B)=\dfrac{4}{5}[/tex]

Conditional Probability Formula

[tex]\text{P}(A \cap B)=\text{P}(B)\;\text{P}(A|B)[/tex]

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \text{P}(A \cap B)&=\dfrac{1}{4} \cdot \dfrac{4}{5}\\\\&=\dfrac{4}{20}\\\\&=\dfrac{1}{5}\end{aligned}[/tex]

Answer:

9 days (round up)

Step-by-step explanation:

70 ÷ 8 = 8.75

           ≈ 9 (round up)

Answer:

154 legs

Step-by-step explanation:

40-3=37

37 times 4 = 148

3 times 2 ° 6

148+6= 154

Answer: 154 legs

Step-by-step explanation: First, multiply 37×4 because there are 37 cows with 4 legs, which gets you 148. Since there are 3 cows with only 2 legs, do 3×2=6. Finally, add 148 and 6 to get 154 legs.

please give brainliest!

Answer:

How do I show you the graph because I have it

Step-by-step explanation:

Answer:

99

Step-by-step explanation: 99

Solution :

[tex]\qquad \sf  \dashrightarrow \: log(x) + 5 \: log(y) - 4 \: log(z) [/tex]

[tex]\qquad \sf  \dashrightarrow \: log(x) + \: log(y {}^{5} ) - \: log(z {}^{4} ) [/tex]

( a log(x) = log(x^a) )

[tex]\qquad \sf  \dashrightarrow \: log( x {y}^{5} ) - log(z {}^{4} )[/tex]

( log (a) + log (b) = log (ab) )

[tex]\qquad \sf  \dashrightarrow \: log( \frac{ x {y}^{5} }{z {}^{4} }) [/tex]

( log (a) - log (b) = log (a/b) )

The interest she is pay total is $2340.822 when Angela's bank granted her a 6490 loan with a 5 year add-on interest period. 7.26% is the interest rate per year.

Given that,

For the purpose of buying new equipment for her business of antique restoration, Angela's bank granted her a 6490 loan with a 5 year add-on interest period. 7.26% is the interest rate per year.

We have to find will she pay interest at all.

We know that,

i=p×r×t

Here,

i is interest.

p is principal amount.

r is rate of interest

t is time.

So, p is $6490

r is 7.26%

t is 5 years

So,

i= 6490×0.0726×5

i= $2355.87

Therefore, the interest she is pay total is $2355.87 when Angela's bank granted her a 6490 loan with a 5 year add-on interest period. 7.26% is the interest rate per year.

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Answer:

False

Step-by-step explanation:

The denominators have to be the same for you to be able to add or subtract a fraction.

The rational zeros for F(x)=3x^4-4x^3+x^2+6x-2 are x= -1 and x= 1/3 while the linear factors are (x+1) and (3x-1)

Synthetic division has to do with dividing polynomials.

The process involves:

Step 1: Set up the synthetic division.

Step 2: The leading coefficient should be brought down to the bottom row.

Step 3: Multiply this by the value just written on the bottom row.

Step 4: Then, add the column created in step 3.

This can be illustrated thus:

Given: f(x) = 3x⁴-4x³+x²+6x-2

3x⁴-4x³+x²+6x-2 = 0

We will try x = -1 in f(x). In this case, replace x with -1. This will be:

= 3x⁴-4x³+x²+6x-2 = 0

Since f(-1)= 0 so (x+1) is a factor

Using synthetic division:

-1)....3....-4....1....6....-2

.........3.....-7...8....-2..|..0

Remainder = 0

Quotient = 3x³ -7x² + 8x -2

For 3x³ -7x² + 8x -2,  f(1/3) = 0 so (x- 1/3) is a factor

1/3)....3....-7....8....-2

..........3.....-6...6...|..0

Remainder = 0

Quotient = 3x²-6x+6

= 3(x²-2x+2)

Since there are no more rational zeros or linear factors for x²-2x+2. Therefore, the rational zeros are x= -1 and x= 1/3.

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Based on the information given the variance of their​ weights is 119.9200 kg².

What is variance?

The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other. This symbol is frequently used to represent variation: σ².

Main body:

n=sample size=10

Standard deviation=10.9508 kg

Using this formula

Variance=(Standard deviation)²

Let plug in the formula

Variance=(10.9508 kg)²

Variance= 119.9200 kg²

Hence the variance of their​ weights is 119.9200 kg².

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The percentage of computers not working is 10%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that there are three of the 30 computers are out of service.

The percentage of the computers which are out of service will be calculated as,

P = 3 / 30

P = 0.1

P = 0.1x 100

P = 10%

Therefore, the percentage of computers not working is 10%.

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By using the concept  of inequality, the correct options are

2nd, 4th and 5th option

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here,

The given inequation is

[tex]\frac{-2}{3}n \leq 16[/tex]

Now,

[tex]\frac{-2}{3}n \leq 16\\n \geq -16 \times \frac{3}{2}\\n \geq -24\\[/tex]

Since n is greater than or equal to 24, the arrow will point towards right

The circle will be closed as there is an equality

So the correct options are 2nd, 4th and 5th option

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Complete Question

The complete question has been attached here

The solution to the given inequality 3 - x ≤ 19

or - x ≥ 24 is x ≥ -16 or x ≤ -24

An inequality is a statement that is of two quantities; one is specifically less than or greater than another. Inequality symbols are:

3 - x ≤ 19

or

- x ≥ 24

3 - x ≤ 19

-x ≤ 19 - 3

- x ≤ 16

divide both sides by -1

x ≤ 16/-1

x ≥ -16

or

- x ≥ 24

x ≥ 24/-1

x ≤ -24

In conclusion, the solution to the inequality is given by x ≥ -16 or x ≤ -24

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Answer: 3/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 12 and 16 is 4

Divide both the numerator and denominator by the GCD

12 ÷ 4

16 ÷ 4

Reduced fraction: 3/4

Therefore, 12/16 simplified to lowest terms is 3/4.

Answer:.

Step-by-step explanation:

Answer:

10x+6xy+4

Step-by-step explanation:

2(5x+2)-(3y) 2x-4x

By removing the bracket

10x+4-6xy+12xy

10x+4+6xy

10x+6xy+4

Answer:

(4 , 5)

Step-by-step explanation:

midpoint formula: (x1+x2/2 , y1+y2/2)

so

(1+7/2 , 4+6/2)

(8/2 , 10/2)

4 , 5

If their combined weight is 175 pounds, The amount of Luna weight is D. 82 pounds.

Let x represent the weight of Cooper

Let x +25 represent the weight of Daisy

Let 3x -20 represent the weight of Luna

Hence,

x + (x +25) + (3x -20) = 175

5x +5 =175

Combine like terms

5x = 175 -5

5x =170

Divide both side by 5x

x = 170/5

x =34

Weight of Luna

3x -20  where x= 34

3(32) -20

= 102 -20

= 82 pounds

Therefore the correct option is D.

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