On a sunny day, a 15-foot pole casts a 20-foot long shadow, how tall is a person who casts a 8 foot shadow (Draw an image to help you solve the problem). O 10 6 feet O 6 feet O 375 feet O B feet None of the above

In relation to the angle L of the right triangle the sides are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.

The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.

Let's identify the sides  j,  k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.

Therefore,

The hypotenuse side is the longest side of a right triangle.

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Answer:

B:

Step-by-step explanation:

IN THE ATTACHED FILE

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

Quick internet search:

Answer:

Yes

Step-by-step explanation:

You can conclude there are 18 horses because although some of the mares might be brown horses, the conjunction "and" implies the mares are in addition to the brown horses.

Two vectors v₁ and v₂ whose sum are (0, -1, -3), where v₁ is parallel to

(5, 0, -4) while v₂ is perpendicular to (5, 0, -4).

v1 = [40/13, -8/13 ]

v2 = [-1/13,  -5/13]

Parallel vectors will be multiples of each other.

Perpendicular vectors will have a dot product of 0.

Let v₁ = [a, b] and v₂ = [c, d]

v₁ || [-5,1]   means  v₁ = N [-5,1] = [a, b]

So  a = -5N  and b = N  

v₂ • [-5,1] = 0 (because they are perpendicular)

So [c, d] • [-5,1] = -5c + d = 0  or  d = 5c    

⇒ v₁ + v₂ = [a, b] + [c, d] = [3, -1]

So  a + c = 3      and     b + d = -1    

Now,

Substitute -5N for

a.  Substitute N for b.    

and Substitute 5c for d.  

This gives us a system of equations with two equations and 2 unknowns:

-5N + c = 3

 N + 5c = -1

Multiply everything in the  bottom equation by 5

-5N + c = 3

5N + 25c = -5

Now add vertically, eliminating the variable N and finding

26c = -2

or, c = -1/13

Now we work our way backwards.

-5N + c = -5N + (-1/13) = 3

-5N = 40/13

(-1/5) (-5N) = (40/13)(-1/5)

and

N = -8/13  and b = N so b = -8/13

d = 5c so d = -5/13

a = -5N, so a = 40/13

So the two vectors are:

v₁ = [40/13, -8/13 ]

v₂ = [-1/13,  -5/13]

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Answer:

B

Step-by-step explanation:

Have a nice day!

Answer:

Step-by-step explanation:

the stabdard error is given with the se coefficient snf the y slope

Answer:

63-|-6| = 57

Step-by-step explanation:

63-|-6|

63-6

57

Answer:

57

Step-by-step explanation:

Substitute -6 for variable h.

\(63-|(-6)|\\63-6\\57\)

The sum of the geometric series for Xac-2 n\((n ~ 1) (~1)" I2"-2 for Ixl < 1 is (1 - x2)\). This is because the series is a summation of the terms (1/x2) multiplied by each power of x from 0 to n, and the sum of the series is the sum of the terms.

To calculate the sum of the geometric series for\(Xac-2 n (n ~ 1) (~1)" I2"-2 for Ixl < 1\), we can use the formula for the sum of a geometric series. The sum of such a series is the sum of the terms (1/x2) multiplied by each power of x from 0 to n. Thus, the sum of the series is given by the formula S = (1/x2) ∑ xn, where n starts at 0 and goes to n. Substituting n = -2 and x = 1 gives us S = (1/1) ∑ 1-2, which simplifies to S = (1/1) (1 - 1-2) = (1 - 1-2) = (1 - x2). Hence, the sum of the series is (1 - x2).

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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Answer:

PD = 95%

Step-by-step explanation:

(2,000 - 100) / 2,000       times 100

( (original - new) ) / original     times 100

=  1,900 / 2,000    times 100

=  0.95 times 100

=  95% decrease

Step-by-step explanation:

Answer:80°

This is the answer i think hope this helps you

Answer:

C

Step-by-step explanation:

The given expression is illustrated as:

15cd-45c2d

This will be:

15cd-45c2d = 3cd(5-15c)

Note: It is important to note that factors are the numbers that divide evenly into another number that is given.

Expected value is found by

Sum of x• f(x) = ( 5•17 + 4•23 + 3•27+ 3•29+3•36 + 2•46 ) =

. = 85 + 92 + 81 + 87 + 108 + 92= 545

divided by number of magazines

Then answer is

Expected value = 545/20 = 27 articles

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

The car that drove off had a year of manufacture of 2013. However, this answer does not make sense, as all of the given cars were manufactured before 2010 and was solved by using mean.

In mathematics, the mean is a measure of central tendency of a set of numbers. It is commonly referred to as the average and is calculated by adding up all the numbers in a set and dividing by the total number of numbers in the set.

In the given question,

Let's start by finding the mean of the five cars:

Mean = (1971 + 1986 + 1993 + 2003 + 2010) / 5 = 1992.6

Now, let's assume that one of the cars drove off and we need to find out which one. Let's call the year of manufacture of the car that drove off "x".

If the mean of the remaining four cars is 1990, we can use the formula for the mean of a set of numbers to set up an equation:

(1971 + 1986 + 1993 + 2003 + 2010 - x) / 4 = 1990

Simplifying this equation, we get: (9973 - x) / 4 = 1990

Multiplying both sides by 4, we get: 9973 - x = 7960

Subtracting 9973 from both sides, we get: -x = -2013

Dividing both sides by -1, we get: x = 2013

Therefore, the car that drove off had a year of manufacture of 2013. However, this answer does not make sense, as all of the given cars were manufactured before 2010. Therefore, we can conclude that there was a mistake in the problem, or that the problem was poorly worded. Without additional information, we cannot determine which car drove off.

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Answer:

HFHBEHFBHEHHEHHHHH

Step-by-step explanation:

the ones with straight lines are functions the ones that are curved is not a function

Answer:

Ones that have 2 values of y for a single value of x

(vertical line, sideways v shape are not functions)

Step-by-step explanation:

In a function, each input (x) can have only one output (y)

There cannot be two ys for one x

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Answer:

The mystery divisor is 18

Step-by-step explanation:

In the beginning, I found it by simply dividing the dividend by the quotient which gave me the divisor of 18. You can start the division equation again and add in the divisor 18 and it'll give you the exact answer.

Another way you'll know it's correct, is by dividing the dividend by that divisor and it'll give you the quotient 225 just like in the image.

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Step-by-step explanation:

Let y the number of wrong answers got.

\(11( + 4) + ( - 1)y = 40 \\ 44 - y = 40 \\ - y = - 4 \\ y = 4\)

∴ He got 4 wrong answers.

Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

The shape of the data that we have here is skewed to the right

A dataset is considered to be right-skewed (sometimes known as excessively positive) when the greater portion of its data points are concentrated on the lower end, forming an asymmetrical distribution that has a long tail to the right.

As such, the mean (average) within these distributions generally surpasses the median in value, with the latter also exceeding the mode.

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Answer:  1) 65°     2) 17°   3) 53°  or  37°

Step-by-step explanation:

\(1.\quad \cos \theta=\dfrac{adjacent}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{3}{7}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{3}{7}\bigg)\\\\\\.\qquad \qquad \theta =65^o\)

\(2.\quad \tan \theta =\dfrac{opposite}{adjacent}\\\\\\.\quad \quad \tan\theta =\dfrac{8}{26}\\\\\\.\qquad \qquad \theta =\tan ^{-1}\bigg(\dfrac{4}{13}\bigg)\\\\\\.\qquad \qquad \theta = 17^o\)

3.  Which angle do you need? I solved for both:

               Bottom Right                     Top Left

\(.\qquad \cos \theta=\dfrac{adjacent}{hypotenuse}\qquad \qquad \sin \theta = \dfrac{opposite}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{14}{23}\qquad \qquad \qquad \qquad \sin \theta=\dfrac{14}{23}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{14}{23}\bigg)\qquad \qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{14}{23}\bigg)\\\\\\.\qquad \qquad \theta =53^o\qquad \qquad \qquad \qquad \quad \theta =37^o\)

Question 1:

cosθ = adj/hyp

cosθ = 3/7

θ = cos^-1(3/7)

θ = 65

Questions 2:

tanθ = opp/adj

tanθ = 8/26

θ = tan^-1(4/13)

θ = 17

Question 3:

Top left:

sinθ = opp/hyp

sinθ = 14/23

θ = tan^-1(14/23)

θ = 37

Bottom Right:

cosθ = adj/hyp

cosθ = 14/23

θ = cos^-1(14/23)

θ = 53

Best of Luck!

The perimeter of the rectangle ABCD is 22.34 units and the area of the rectangle ABCD is 29.95 square units

The points are given A(-2,7), B(4,4), C(2,0) and D(-4,3)

First we have to find the distance between the points

The distance between two points = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2} -y_{1} )^{2} }\)

The distance between A and B = \(\sqrt{(4-(-2))^{2}+(4-7))^{2} }\)

= \(\sqrt{36+9 }\)

= 6.70 units

The distance between BC =\(\sqrt{(2-4)^{2}+(0-4)^{2} }\)

= \(\sqrt{4+16}\)

=4.47 units

The distance between A and B = The distance between C and D

The distance between C and C = The distance between D and A

The perimeter of the rectangle = 2(l+w)

Where l is the length and w is the width of the rectangle

The perimeter of the rectangle = 2(6.70+4.47)

=22.34 units

The area of the rectangle = l×w

= 6.70×4.47

=29.95 square units

Hence, the perimeter of the rectangle ABCD is 22.34 units and the area of the rectangle ABCD is 29.95 square units

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Answer:

-2

Step-by-step explanation:

m = -4 / 2 = -2 / 1 = -2

Your function:

The entered points belong to a decreasing, linear function.

Equation: y = -2x + 12.

Related numbers

Y - intercept

12

Angle (θ)

-63.43

deg

θ = arctan(-2) = -6.34349

Percentage grade

-200%

Distance (d)

4.472

Distance between x's (Δx)

2

Distance between y's (Δy)

4

d = √(Δy2 + Δx2) = √(-42 + 22) = √20 = 4.47214