If two angles form a linear pair and the m<1 =2x + 20 and m< 2 = 48x, find the measure of each angle

Answer:

156.7 miles.

Step-by-step explanation:

The radius and the tangent at the point of contact form a right angle so we can apply the Pythagoras theorem:

( 3959 + 3.1)^2 = x^2 + 3959^2

x^2 =  3962.1^2 - 3959^2

x^2 =  24555.41

x =  156.7 miles.

The solution is : 156.7 miles is the distance to the earth’s horizon from point P.

The distance between two points is the length of the line joining the two points. Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

here, we have,

from the given diagram, we get,

The radius and the tangent at the point of contact form a right angle so we can apply the Pythagoras theorem:

( 3959 + 3.1)^2 = x^2 + 3959^2

x^2 =  3962.1^2 - 3959^2

x^2 =  24555.41

x =  156.7 miles.

Hence, The solution is : 156.7 miles is the distance to the earth’s horizon from point P.

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Answer:

9 feet

Step-by-step explanation:

If each side is the equivalent, each side of the prism is the cube root of 729

Cube root of 729 is 9

Each side is 9 feet long

3(2x+4)=-6 6x+12=-6

- 12. -12

6x = -18

÷6. ÷6

x= -3

Answer:

-3

Step-by-step explanation:

3(2x+4)= -6

6x+12= -6

6x= -18

x= -3

In general, you have that [tex](x-x_0)[/tex] is a factor of a polynomial [tex]p(x)[/tex] if and only if [tex]p(x_0)=0[/tex]

So, we want [tex]p(3)=0[/tex]. We have

[tex]p(3) = -3^3+ 9c -4\cdot 3 +3 = -27+9c-12+3 = 9c-36[/tex]

So, we have

[tex]p(3) = 0 \iff 9c-36 = 0 \iff x = \dfrac{36}{9} = 4[/tex]

Answer:

c = 4

Step-by-step explanation:

Given that (x - 3) is a factor of p(x) then x = 3 is a root and p(3) = 0

p(3) = - (3)³ + c(3)² - 4(3) + 3 = 0, hence

- 27 + 9c - 12 + 3 = 0

9c - 36 = 0 ( add 36 to both sides )

9c = 36 ( divide both sides by 9 )

c = 4

8.6 meters per second

The sum of this finite arithmetic series is -1122.

The sum of the arithmetic series 14+11+8+5...-82 is -1122. This is obtained by identifying the number of terms in the series, the first term, the last term and the common difference, then substitifying these values into the sum formula for an arithmetic series.

The series provided is an arithmetic series, where each term decreases by 3 from the previous one. The formula to find the sum of an arithmetic series is S = n/2 * (a + l) where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.

In this case, the difference between consecutive terms is -3, the first term a = 14, and the last term l = -82. We find the number of terms by using the relation, l = a + (n-1)*d where d is the common difference. By substituting the given values, we can find that n = 33 terms. Substituting these values into the sum formula gives: S = 33/2 * (14 - 82) = -1122.

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Answer:

$89340

Step-by-step explanation:

Answer:

$386794

Step-by-step explanation:

To find how much we're going to make in total after working for 5 years in the company, we can solve it by calculating for the total amount after each year.

So in the first year we get.

$70,000

To get how much we get in the 2nd year we add the extra 5%.

2nd year salary = (70000 x 0.05) + 70000

2nd year salary = 73500

Now we continue to do that until the 5th year

3rd = (73500 x 0.05) + 73500

3rd = 77175

4th = (77175 x 0.05) + 77175

4th = 81033.75

5th = (81033.75 x 0.05) + 81033.75

5th = 85085.44

Now we add them all up to get the total.

70000 + 73500 + 77175 + 81033.75 + 85085.44

We get:

$386794.19 or $386794

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=28\pi \end{cases}\implies 28\pi =2\pi r\implies \cfrac{28\pi }{2\pi }=r\implies 14=r[/tex]

➷ The period is the distance from one part of the function to the same part of it.

In this case, the period is 5

The amplitude is the half the distance from the largest and smallest value

3 + 6 = 9

9/2 = 4.5

In this case, the amplitude is 4.5

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Answer:

Inverse = (arcos x) / 2.

Step-by-step explanation:

y = cos 2x

2x= arcos y

x = (arcos y) / 2.

Inverse = (arcos x) / 2.

The equation for the inverse of y = cos 2x is obtained by switching the x and y variables and solving for y, resulting in y = arccos (x) / 2.

The inverse of a function switches the roles of the x and y variables, so the first step to finding the inverse of y = cos 2x is to switch the x and y in the equation, giving us x = cos 2y. Now, we simply solve for y. The equation x = cos 2y is equivalent to 2y = arccos (x) where arccos is the inverse cosine function.  Therefore, the final answer is y = arccos (x) / 2. This is the equation for the inverse of y = cos 2x.

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Answer:

Step-by-step explanation:

2

Answer:

see explanation

Step-by-step explanation:

[tex]\frac{a(x)}{b(x)}[/tex]

= [tex]\frac{2x^2-5x+6}{x-3}[/tex]

= 2x + 1 + [tex]\frac{9}{x-3}[/tex]

quotient q(x) = 2x + 1 and remainder r(x) = 9

Answer:

(0,12)

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-3,3) and (-5,-3). After, substitute the slope and a point into the point slope form. Then convert to the slope intercept form to identify the y-intercept.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{3--3}{-3--5}= \frac{6}{2}=3[/tex]

Substitute m = 3 and the point (-3,3) into the point slope form.

[tex]y - y_1 = m(x-x_1)\\y -3 = 3(x--3)\\y-3 = 3(x +3)\\y-3=3x + 9\\ y = 3x + 12[/tex]

This means that it crosses at (0,12) since b - 12 for y=mx+b.

Answer:(0,12)

Step-by-step explanation:

[tex]y = 0.392x + 638.118 \\ x = 2400 \\ y = (0.392 \times 2400) + 638.118 \\ y = 1578.92[/tex]

hope u understand

Answer:

The answer is 23/93

Step-by-step explanation:

In order to divide two fractions, we can flip the second one and multiply.

5/31 ÷ 15/23

5/31 × 23/15 = 23/93

To mark the points on a number line that are both larger than -2 and smaller than 3, you would mark off the points at -1, 0, 1, and 2 on this line.

To draw a number line and mark all points that are both larger than -2 and smaller than 3, follow these steps:

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To mark all points larger than -2 and smaller than 3 on a number line, draw a straight line with equal intervals, labeling -2 and 3, and shade in the area between them. For constructing a histogram, divide the data range into intervals, then draw and label bars on the y-axis to reflect the count of data points within each interval.

Explanation:

To draw a number line and mark all points that are both larger than –2 and smaller than 3, begin by drawing a horizontal line. Use a ruler to keep the line straight. Place tick marks at regular intervals, and label them with numbers from less than -2 to greater than 3, ensuring that -2 and 3 are clearly marked on the line. The numbers larger than -2 but smaller than 3 will be between these two points. Shade this region to indicate all the numbers that meet the condition.

Next, if you need to construct a histogram, you first need a set of data to work with. Once you have your data, determine the range of data and divide this range into five to six intervals. On the horizontal axis, or the x-axis, represent these intervals. Then, count how many data points fall within each interval. On the vertical axis, or the y-axis, draw bars for each interval with heights corresponding to the number of data points in each interval. Use your ruler for precision and label the axes to show the scale.

Answer:

  d.  90°, 90°

Step-by-step explanation:

Both angles intercept 180° arc WZ. They are half the measure of the intercepted arc, hence both are 90°.

the y intercept is -3 because its touching (0,-3).

The graph goes right one and down five so the slope is -5

y=mx + b

y= -5x -3

Answer:

Part 3)

[tex]x=6\ units[/tex]

[tex]y=3\ units[/tex]

Part 4) [tex]x=18\sqrt{2}\ units[/tex]

Step-by-step explanation:

Part 3)

step 1

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

[tex]cos(30\°)=\frac{3\sqrt{3}}{x}[/tex]

and remember that

[tex]cos(30\°)=\frac{\sqrt{3}}{2}[/tex]

substitute

[tex]\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}[/tex]

Simplify

[tex]x=(2*3)=6\ units[/tex]

step 2

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

[tex]sin(30\°)=\frac{y}{x}[/tex]

and remember that

[tex]sin(30\°)=\frac{1}{2}[/tex]

substitute

[tex]\frac{1}{2}=\frac{y}{6}[/tex]

[tex]y=6/2=3\ units[/tex]

Part 4) Find the value of x

Applying the Pythagoras Theorem

[tex]x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units[/tex]

Simplify

[tex]x=18\sqrt{2}\ units[/tex]

Answer:

it's A

Step-by-step explanation:

you toke the price and times it by the decimal of the discount

Answer:

0.150 x $20 = $ 3.00.

Step-by-step explanation:

You want to buy something that costs $20, and it's on sale for 15% off. What is the item's sale price?

First, convert the 15% to a real mathematical number. For percents, this is always done by dividing the 15% by 100%, or 15% / 100% = 0.150.

Second, find out what 15% of $20 is. This is the amount of the sale discount. This is always found by mulitplying 0.150 by the item's cost $20. So for this sale, you'll save $ 3.00 on this item.

This means, the cost of the item to you is $17.00$

[tex]\huge\boxed{\text{The $5$ needs to be negative.}}[/tex]

Since the first binomial is [tex](x-5)[/tex], the [tex]5[/tex] is negative and must be that way when using the table.

Here's the corrected table:

[tex]\begin{array}{c|c|c|}\multicolumn{1}{c}{}&\multicolumn{1}{c}{3x}&\multicolumn{1}{c}{1}\\\cline{2-3}x&3x^2&x\\\cline{2-3}-5&-15x&-5\\\cline{2-3}\end{array}\\\\\\3x^2+x-15x-5\\3x^2-14x-5[/tex]

Answer:

Step-by-step explanation:

Just substitute in 7 for the n.

30-4(7)

30-28

2

The 7th term in the sequence is 2.

(please give brainliest?)

The 7th term in the sequence defined by aₙ = 30 - 4n, substitute n with 7 and solve to get a₇ = 2. Thus, the 7th term is 2.

To find the 7th term in the sequence defined by the iterative rule aₙ = 30 - 4n, we need to substitute n with 7.

⇒ aₙ = 30 - 4n

⇒ a₇ = 30 - 4(7)

⇒ a₇ = 30 - 28

⇒ a₇ = 2

So, the 7th term in the sequence is 2.

Complete question:

Find the 7th term in the sequence

aₙ = 30 - 4n

Answer:

[tex]f(-4)=1.3[/tex]

Step-by-step explanation:

we have

[tex]f(x)=\frac{6}{-2+2e^{-0.3x}}[/tex]

we know that

f(-4)  is the value of the function for x=-4

substitute x=-4 in the function

[tex]f(-4)=\frac{6}{-2+2e^{-0.3(-4)}}[/tex]

[tex]f(-4)=\frac{6}{-2+2e^{1.2}}[/tex]

[tex]f(-4)=1.3[/tex]

Answer:

1.94

Step-by-step explanation:

We substitute -4 into as x in the equation, but first what is e?

e is a term that represents the base of a natural logarithm and is a irrational number, its called Euler's number. e is equivalent to:

[tex]e=2.718[/tex]

We can substitute -4 into the equation

[tex]=6/(-2+2*(2.718^(-0.3*-4)))[/tex]

[tex]=6/(-2+2*(2.718^(1.2)))[/tex]

[tex]=6/(-2+2*2.54)[/tex]

[tex]=6/(3.09)[/tex]

[tex]=1.94

Therefore f(-4)=1.94

When the dimensions of a two gallon container are tripled, the container can hold up to 54 gallons of liquid, since the volume will increase 27 times.

The question is about how a two gallon container can hold when all of its dimensions are tripled. In mathematics, when dimensions of a cube (or a rectangular prism, which the container can be assumed to be) are increased proportionally, the volume, which is proportional to the cube of the dimensions, increases by the cube of that same factor.

In this case, the dimensions of the container have all been tripled (a three-fold increase) which results in the volume of the space inside the container increasing by 3³ = 27 times. Therefore, the two gallon container, when its dimensions are tripled, can hold 2 gallons x 27 = 54 gallons. It's important to understand this is a principle of geometry and works irrespective of the units of measurement used (gallons, liters, cubic centimeters, etc.)

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Answer:

$24.15

Step-by-step explanation:

What you do is you take 15% and make it into a decimal which is .15.

Then you times it by $21. 21*.15=3.15.

You then take the $3.15 and add it to $21 to get

$24.15 as your answer.

Winona left a 15% tip for her $21 haircut, resulting in a tip of $3.15. When added to the cost of the haircut, it means she paid a total of $24.15.

The question is asking us to find out how much Winona paid in total for her haircut, including a 15% tip. To find the amount of the tip, we can multiply the cost of the haircut (which is $21) by 15% (or 0.15 in decimal form): $21 * 0.15 = $3.15. To find the total amount Winona paid, we simply add the cost of the haircut to the tip: $21 + $3.15 = $24.15. So, Winona paid a total of $24.15 for her haircut.

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Answer:

The increase as a percentage is (2.60)(100%) = 260%

Step-by-step explanation:

The premium increase from last year is ($883 - $245), or $638.

The increase as a ratio is then $638/$245, or 2.60.

The increase as a percentage is (2.60)(100%) = 260%

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the falcon flew 56 miles more than the eagle

Answer:

the eagle flew 56 miles less than the falcon

Step-by-step explanation:

112-56=56

Answer:

d. can be smaller, larger, or equal to the population mean

Step-by-step explanation:

The mean of the sample will depend upon which values are selected from the population to form the sample.

The sample mean can be any value below, above or equal to the population mean.

However, as more and more samples are taken and their means found, the mean of the sample means will approach the population mean.

Answer:

Step-by-step explanation:

We know that the sample size is smaller than the size of the population, because it's a subset that must represent the population.

However, that doesn't mean the sample mean has to be smaller than the population mean, actually this stats can be smaller, equal or larger, it depends on another factors.

Therefore, the right answer is the last choice