Use the information in the figure to determine the height of the pole.

Use The Information In The Figure To Determine The Height Of The Pole.

Answers

Answer 1

(x + 5)^2 + (x/2 + 6)^2 = (30)^2

Take it from here.

Answer 2

Answer:

pole height = 29 ft

Step-by-step explanation:

x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36

combine like terms:

x² = -1/4x² - 6x + 864

1 1/4x² + 6x - 864 = 0

divide both sides of the equation by 1 1/4:

x² + 4.8x - 691.2 = 0

(x - 24)(x + 28.8) = 0

x = 24 ft

pole height = 24 + 5 = 29 ft


Related Questions

A farmer of a large apple orchard would like to estimate the true mean number of suitable apples produced per
tree. He selects a random sample of 40 trees from his large orchard and determines with 95% confidence that the
true mean number of suitable apples produced per tree is between 375 and 520 apples. Which of the following can
be accounted for by the margin of error of this interval?
OOO
response bias
nonresponse bias
sampling variation
undercoverage bias

Answers

Answer:

Sampling variation

Step-by-step explanation: took the quiz

The option that the margin of error accounts for in the given interval is sampling variation.

What is sampling variation?

This refers to the fact that in a sample, there will be a difference between the variables seen.

This variation is the reason why there is a margin of error in intervals because we need to introduce a range that the relevant variable will fall into.

Find out more sampling variation at https://brainly.com/question/14514626.

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John put $3,000 in his savings at 2% annually for 3 years. What did he earn in simple interest? A $60 B. $180 O c $600 OD. $1,800​

Answers

Answer:

b

Step-by-step explanation:

Answer:

$ 180

Step-by-step explanation:

Simple Interest= P×R×T/100 ( Principal,rate,time)

So,

3000×2×3/100 (cancelling 3000 by 30)

30×2×3=30×6=180 Answer

Solve the simultaneous equations
4x+3y=11
2x-y=-2

Answers

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )


Determine the
circumference
when the
radius is 16.
and please show me how you got the answer​

Answers

Answer:

100.48

Step-by-step explanation:

Step 1: Find the diameter

16 × 2 = 32

Step 2: Multiply by pie (Usually just 3.14)

32 × 3.14 = 100.48

The ratio of 1 hour to 300 seconds is:
(i) 1:12;
(i) 12:1; (iii) 1 : 5;
(iv) 5:1

Answers

Answer:

1:12

Step-by-step explanation:

I hope this helps!

a stereo system cost $4,800. It depreciates 12% a year. How much is the system worth after 2 years?​

Answers

Answer:

$3717.12

Step-by-step explanation:

The depreciation per year is 100% - 12% = 88% = 0.88

value after 2 years = $4800 ( 0.88)² = $3717.12

Step-by-step explanation:

3717.21$ is the system worth after 2 years

HELPP PLEASEEE MY GRADE DEPENDS ON ITTT!!!!!!!!!
Find the value x.

Answers

Answer:

its ten i think it depends on my work

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64\times x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{48^2}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{2304}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=36[/tex]

I need help this is so hard.

Answers

Answer= A

Explanation- it is the only one who does not fit in

Solve for x using
cross multiplication.
2x=4 =
2x – 4
3
x + 1
2
x = [?]
Enter

Answers

Answer:

11

Step-by-step explanation:

cross multiply - 2(2x-4) = 3(x=1)

4x - 8 = 3x + 3

4x - 3x = 3 + 8

x = 11

Answer:

x = 11

Step-by-step explanation:

2(2x-4) = 3(x+1)

4x-8=3x+3

4x-3x=3+8

x=11

PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet

Answers

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

Which is a factor of the whole expression 43x + 10) ?

Answers

well i think the answer is 4

i think the expression is supposed to be 4(3x+10)

please help with this question i just need the volume

Answers

Answer: 4) 49 1/2  

5) 15

Step-by-step explanation:

To find volume you must use L x W x H.

4) 3 x 3 x 5.5= V

3 x 3 = 9

9 x 5. 5=  49.5

5) 2 x 2 x 3.75= V

2 x 2= 4

4 x 3. 75 = 15

Find the x
please will give brainliest

Answers

Answer: 90

Explanation:
I think the answer is 90

express using exponents 10^8x10^4=

Answers

Answer:

1e+12

Step-by-step explanation:

because 8 exponents of 10 would be    i cannot count and 4 exponents of 10 is 10,000.

Any Questions?

Complete the following statement
Like frequency tables, bar graphs provide a visual display of____

Answers

Answer:

Data

Explanation:

Like all graphs, a bar graph is a visual display of data and displays categorical data.

Like frequency tables, bar graphs provide a visual display of data.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Categorical data, showing the distribution of the data across different categories or groups.

Bar graphs are particularly useful for comparing the sizes or frequencies of different categories, and they can make it easier to spot patterns, trends, or outliers in the data.

By representing the data visually, bar graphs can also help to communicate the information more effectively to others, allowing people to quickly understand and interpret the key features of the data.

Hence, Like frequency tables, bar graphs provide a visual display of data.

To learn more on Statistics click:

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If you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side. How many cubic meters of oil is this? Do you think this would be enough to fill a pond, a lake, or an ocean?

Answers

Answer:

The cube contains 1,092,727 cubic meters of oil, which could fill almost all the world's oceans, since they have approximately 1.3 million cubic meters of water.

Step-by-step explanation:

Since if you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side, to determine how many cubic meters of oil is this and to determine if this would be enough to fill a pond, a lake, or an ocean, the following calculations must be performed, knowing that the volume of a cube is equal to the length of one of its sides cubed:

103 ^ 3 = X

103 x 103 x 103 = X

10,609 x 103 = X

1,092,727 = X

Therefore, the cube contains 1,092,727 cubic meters of oil, which could fill almost all the world's oceans, since they have approximately 1.3 million cubic meters of water.

What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10

Answers

Answer:

c

Step-by-step explanation:

Write the explicit rule
50, 45, 40, 35, 30

Answers

Answer:

a_n = 50 - 5n, for n = 1,2, 3, ...

Step-by-step explanation:

a_1 = 50

a_2 = 50 - 5 = 45

a_3 = 50 - 2 * 5 = 40

a_n = 50 - (n - 1) * 5

a_n = 50 - 5n + 5

a_n = 50 - 5n

Answer:

an = -5n + 55.

Step-by-step explanation:

This is arithmetic with common difference -5.

an = a1 + d(n-1)

an = 50  - 5(n - 1)

an = 50 - 5n + 5

an = -5n + 55.

8. Make a prediction for a resting heart rate after 6 hours of
exercise a week
Resting Heart Rate (BPM)
Hours of Exercise per Week
a.) 6
b.) 50
c.) 55
d.) 59

Answers

I think the answer is 50

Answer:

the answer is 50!!! it sure is

One evening Papa John’s sold a total of 33 pizzas topped with pepperoni, sausage, or pepperoni and sausage. There were 29 pizzas that had pepperoni. Of these, 15 also had sausage. How many more pizzas had pepperoni only than had sausage only?

Answers

Step-by-step explanation:

So he sold 33.

29 had pepperoni and of these 29, 15 had also sausage. SO first, to find out how many pepperoni pizzas only he sold you have to substract.

29-15= 14

14pepperoni pizzas

15 pepperoni and sausage pizzas.

Now we add 14 + 15 = 29

Now we do 33-29= 4

So the final answer to the question is:

10 pizzas more

(x^2y^-2)^3/yx^-4 please help

Answers

Hey is there a way you could send a photo of the equation

Simplify the following expression. x(x - 3) - 4(x2 + 7)

Answers

-3x^2 (2 squared) - 3x -28

Answer:

[tex]x^{2} -11x-28[/tex]

Step-by-step explanation:

We start of with this.

[tex]x(x-3)-4(2x+7)[/tex]

First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]

Next, distribute the -4 to the (2x+7) to then get:

[tex]x^{2} -3x-8x-28[/tex]

Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:

[tex]x^{2} -11x-28[/tex]

The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.

Augusto wants to prove to his parents that watching TV while he does his homework will help him get better grades. He decides to ask 20 of his friends if they watch TV while they do their homework and what their grades are. He finds that his friends who have high grades also watch TV while they do their homework. He tells his parents that he has proven that watching TV while doing homework will cause his grades to improve. What mistake has Augusto made?

Answers

Answer:

Augusto was biased and only asked his friends

Step-by-step explanation:

Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits

This was not a fair collection of data

He did not use a random sample, and he tried to show cause and effect with an observational study

help me pls thxxxxxxxxxx

Answers

Answer:

brooklyn

Step-by-step explanation:if ur brooklyn do it ur self plese and ty -niki minaj

Answer this please. I need it done in 5 minutes ASAP. Thank you

Answers

Answer:

x = 6

Step-by-step explanation:

Each side of the triangle = x cm

Each side of the square = (x - 1.5) cm

Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.

Perimeter of triangle = 3(x) = 3x cm

Perimeter of square = 4(x - 1.5) = 4x - 6

Therefore:

Perimeter of triangle = perimeter of square

Substitute

3x = 4x - 6

Subtract 4x from each side

3x - 4x = -6

-x = -6

Divide both sides by -1

x = -6/-1

x = 6

The diameter of a spindle in a small motor is supposed to be 5.8 millimeters (mm) with a standard deviation of 0.14 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 12 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.88 mm. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis)?
A. H0: Mean= 5 and Ha: Mean is not equal to 5.
B. H0: Mean = 5 and Ha: Mean <5.
C. H0: Mean < 5 and Ha: Mean > 5.
D. H0: Mean = 5 and Ha: Mean > 5.

Answers

Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.

Step-by-step explanation:

Definitions:

Null hypothesis [tex](H_0)[/tex] is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs.   Alternative hypothesis[tex](H_a)[/tex]  is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.

Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.

If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.

i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]

So, [tex]H_a: \text{Mean =5.8}[/tex]

The required null and alternative hypotheses:

H0: Mean= 5 and Ha: Mean is not equal to 5.

23652.9/36
Maths decimals

Answers

Answer:

657.025 is the correct answer.

Answer:

657.025

Step-by-step explanation:

I did the math.

How many fewer hot dogs were sold on Wednesday than Tuesday?

Answers

Answer:

30 hot dogs fewer.

VX
What is the measure of _c?
148
С
42
90°
42
48
O 42°
O 48°
O 90°
180°

Answers

Answer:

48

Step-by-step explanation:

One nice, reliable thing about triangles is that their interior angles will ALWAYS add up to 180 degrees.  So, if one angle is 43 degrees and the other angle is 48 degrees, we can see that

180 - 43 - 48 = 89

Now, the tricky part: how to determine which type of triangle this is.

An acute triangle is one in which all interior angles are less than 90 degrees.  An isoceles triangle is one in which two of the interior angles are the same, while the third is different.  An obtuse triangle is one in which one of the interior angles is greater than 90 degrees.  A right triangle is one in which one of the interior angles is equal to 90 degrees.

We distinguish between these different types because they each have useful, but different, properties.

By these definitions, it is clear that the triangle in question is acute.

PRESS ON THE PHOTO!! ONLY NUMBER 10 PLEASE

Answers

Answer:

B: T = ½R

Step-by-step explanation:

From the given graph, we see the following;

When T = 2, R = 4

When T = 3, R = 6

When T = 4, R = 8

When T = 5, R = 10

Looking at those values, we can see a pattern where R is always equal to 2T.

Or T = ½R

Thus, option B is the answer.

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