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The height of the pole is  53 m

The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position

Let the height of the pole be x

We know that;

Tan 38 = 1.67 + x/70

Tan 38 * 70 = 1.67 + x

x = (Tan 38 * 70 ) - 1.67

x = 53 m

Thus we can see that the height of the pole is about 53 m

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The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.

The sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,

80 + 40 + 13x - 5 = 180

120 - 5 + 13x = 180

115 + 13x = 180

subtract 115 from both sides of the equation

115 - 115 + 13x = 180 - 115

13x = 65

divide both sides by 13

13x / 13 = 65 / 13

x = 5

learn more on triangle here: https://brainly.com/question/15268683

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]x=-3+2cos\theta,\:y=5+2sin\theta\\\\x+3=2cos\theta,\: y-5=2sin\theta\\\\(x+3)^2=4cos^2\theta,\: (y-5)^2=4sin^2\theta\\\\(x+3)^2+(y-5)^2=4cos^2\theta+4sin^2\theta\\\\(x+3)^2+(y-5)^2=4(cos^2\theta+sin^2\theta)\\\\(x+3)^2+(y-5)^2=4(1)\\\\(x+3)^2+(y-5)^2=4[/tex]

Thus, the first option is correct. Trying all the other options will not get you the desired rectangular equation.

Problem 2

[tex]x=3-6cos\theta,\: y=-2+3sin\theta\\\\x-3=-6cos\theta,\: y+2=3sin\theta\\\\\frac{x-3}{-6}=cos\theta,\: \frac{y+2}{3}=sin\theta\\ \\ \frac{(x-3)^2}{36}=cos^2\theta,\: \frac{(y+2)^2}{9}=sin^2\theta\\ \\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=cos^2\theta+sin^2\theta\\\\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=1[/tex]

Therefore, the first option is correct. This equation is in the form of an ellipse with a horizontal major axis length of 12 (half is 6) and a vertical minor axis length of 6 (half is 3), with its center at (3,-2).

Problem 3

Not sure which equation needs to be used for this problem

Problem 4

[tex]x=-7cos\theta ,\:y=5sin\theta\\\\-\frac{x}{7}=cos\theta,\: \frac{y}{5}=sin\theta\\ \\ \frac{x^2}{49}=cos^2\theta,\: \frac{y^2}{25}=sin^2\theta\\ \\\frac{x^2}{49}+\frac{y^2}{25}=cos^2\theta+sin^2\theta\\ \\ \frac{x^2}{49}+\frac{y^2}{25}=1[/tex]

This equation is in the form of an ellipse with a horizontal major axis length of 14 (half is 7) and a vertical minor axis length of 10 (half is 5). See attached graph.

Problem 5

Eliminate the parameter:

[tex]x=-t^2-2,\:y=-t^3+4t\\\\x+2=-t^2\\\\-x-2=t^2\\\\\pm\sqrt{-x-2}=t\\\\y=-t^3+4t\\\\y=-(\pm\sqrt{-x-2})^3+4(\pm\sqrt{-x-2})[/tex]

Attached below is the graph of the curve, which corresponds with the first option.

Answer:

[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]

Step-by-step explanation:

This function has a slope of -1, a hole at x = -1, and a y-intercept of 5

14 * 12 = 168

(12*8) / 2 = 48

216 cm ^2

Answer:

1,344 cm counting the side shape or 168 cm counting only the rectangle.

Step-by-step explanation:

14 cm x 12 cm = 168cm

168 x 8 = 1,344 cm

Using it's concept, it is found that the domain for the expressions is, respectively, given by:

[tex]x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2[/tex]

It is the set that contains all possible input values.

In a fraction, the denominator cannot be zero, hence:

The third expression can be simplified, as:

(x + 5)/(x + 5) = 1.

The same is true for the fourth, as:

x²/x = 1.

Neither has any restriction, hence their domain is all real numbers, represented by [tex](-\infty, \infty)[/tex].

More can be learned about the domain of a function at https://brainly.com/question/25897115

The length would be 0.4

Answer:

  n(A) = 10

Step-by-step explanation:

The number of elements in the set of even numbers from 2 to 20 is 10.

  n(A) = 10

_____

Additional comment

Dividing the set elements by 2 maps them to the Natural numbers 1 .. 10. This makes them easy to count.

Dilation is the change in size of of object. The length of the side OB' will be 3 units

From the given diagram, we can see that there is a change in the side of the triangle OAB to OA'B'

Given the following parameters

OB = 3/4 units

Scale factor = 4 units

The measure of OB' = 4 * 3/4 = 3 units

Hence the length of the side OB' will be 3 units

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Answer:

3

Step-by-step explanation:

edg 2022

Answer:

15

Step-by-step explanation:

15 is the answer

If you need solution do let me know in the comments

LETTER B IS THE CORRECT ANSWER

$7,015.11

Depth meanings:

[tex]\sf P = \dfrac{A} { (1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{3.7\%}{2})^{(2)(15)}}[/tex]

[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{0.037}{2})^{(2)(15)}}[/tex]

[tex]\rightarrow \sf P = 7015.113646[/tex]

Step-by-step explanation:

She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.

Answer: The 200 adults

Step-by-step explanation:

Answer:

[tex]\sf 2 \frac14 \ cups[/tex]

Step-by-step explanation:

Add the amounts together:

[tex]\sf \implies \dfrac24+1+\dfrac34[/tex]

Convert the whole number 1 into a fraction with denominator 4:

[tex]\sf \implies \dfrac24+\dfrac44+\dfrac34[/tex]

As all the denominators are the same, we can simply add the numerators:

[tex]\sf \implies \dfrac{2+4+3}4[/tex]

[tex]\sf \implies \dfrac94[/tex]

Finally, convert the improper fraction into a mixed number:

[tex]\sf \implies 2 \frac14 \ cups[/tex]

Add all

[tex]\\ \rm\rightarrowtail \dfrac{2}{4}+\dfrac{3}{4}+\dfrac{4}{4}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{2+3+4}{4}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{9}{4}[/tex]

[tex]\\ \rm\rightarrowtail 2\dfrac{1}{4}cups[/tex]

Answer:

I'm guessing it is 12000

Step-by-step explanation:

let me now if it is wrong

[tex] \Large\tt{ANSWER}[/tex]

[tex]\LARGE \tt{12000 \: cm^3 }[/tex]

[tex]\Large \tt{SOLUTION}[/tex]

Volume = Length × Width × Height

For More Information, Visit this Link.

→ What is Volume:

Answer:

step 1,×+8=_2

step2,×=_2_8

step3,×=_10

Answer:

688.19 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

top = 120sq m

middle = 17sq cm

bottom = 102 sq feet

Answer:

16.02

Step-by-step explanation:

2. What inference can you make by comparing the measures

of variability?

I need the answer

16.02

Answer:

L1 = 113°

L4 = 67°

Step-by-step explanation:

L1 + L2 = 180°

L1 = 180° - L2

L1 = 180° - 67°

L1 = 113°

L3 + L4 = 180°

L4 = 180° - L3

L4 = 180° - 113°

L4 = 67°

Proof-

Combination of L1,L2,L3 and L4 should be 360°

113°+67°+113°+67° = 360°

Answer:

it would be 12 square feet human

Step-by-step explanation:

9 1/2+2 1/2=12 so 12 square feet

The weight of the package is an illustration of a linear function

The total weight of the package is p = 8200 - T

The given parameter is:

Weight of empty truck = 8200 lb

Represent the total weight of the truck with T, and the weight of the package with p.

So, we have:

T = 8200 + p

Make p the subject

p = 8200 - T

Hence, the total weight of the package is p = 8200 - T

Read more about linear equations at:

https://brainly.com/question/4074386

Answer

Step-by-step explanation:

So she needs to give 25 pencils to each student.

1 box = 12

number of boxes = 25/12

                                  =2.08

round it to 3

Answer:

The exact perimeter is [tex]18\sqrt{2}[/tex] meters.

This is approximately 25.5 meters (nearest tenth).

The area of the rectangle is 36 square meters.

Step-by-step explanation:

Area of a rectangle = width × length

Perimeter of a rectangle = (2 × width) + (2 × length)

Given:

Perimeter

[tex]\textsf{Perimeter}=2 \sqrt{18} +2\sqrt{72}[/tex]

               [tex]=2 \sqrt{9 \cdot 2} +2\sqrt{36 \cdot 2}[/tex]

               [tex]=2 \sqrt{9} \sqrt{2}+2\sqrt{36}\sqrt{2}[/tex]

               [tex]=2 \cdot 3 \sqrt{2}+2\cdot 6\sqrt{2}[/tex]

               [tex]=6 \sqrt{2}+12\sqrt{2}[/tex]

               [tex]=18\sqrt{2} \textsf{ m}[/tex]

The exact perimeter is [tex]18\sqrt{2}[/tex] meters.

This is approximately 25.5 meters (nearest tenth).

Area

[tex]\textsf{Area}=\sqrt{18} \times \sqrt{72}[/tex]

       [tex]=\sqrt{9 \cdot 2} \times \sqrt{36 \cdot 2}[/tex]

       [tex]=3\sqrt{2} \times 6\sqrt{ 2}[/tex]

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

       [tex]=18 \cdot 2[/tex]

       [tex]=36 \textsf{ m}^2[/tex]

The area of the rectangle is 36 square meters.

Answer:

50°

Step-by-step explanation:

because angles on straight line add up to 180°,

180-130=50 :)

Answer:

Domain = [-7,4]

Range = [-4,8]

Step-by-step explanation:

Domain= all values of x

Range= all values of y

becuase there are no values going to infinity and they all end, we can just look at our end points.

Answer:

it will be 8 answer letter A

Answer:

A. 8

Step-by-step explanation:

From pythagoras theorem

10^2=6^2+x^2

100-36=x^2

sqrt 64=x

x=8

Answer:

(−4, −18)

Step-by-step explanation:

f(x) = x^2 + 8x - 2

⇒  CONVERT TO VERTEX FORM

≥ f(x) = (x + 4)^2 - 16 - 2

≥ f(x) = (x + 4)^2 - 18

⇒ VERTEX IS AT:

≅ ((−4, −18))

Answer:

The answer is D......

Step-by-step explanation: