A vertical pole 32 feet tall stands on a hillside that makes an angle of 17° with the horizontal line. Determine the approximate length of cable that would be needed to reach
from the top of the pole to a point 56 feet downhill from the base of the pole. Round answer to two decimal places.
A. 72.17 feet
D. 68.24 feet
B. 76.77 feet
E. 55.79 feet
C. 63.98 feet
Help ASAP It’s a test

Answers

Answer 1

Answer:

The 72 feet is measured on the slope, not out from the pole horizontally. I get

top of pole is at

40 + 72 sin17°

downhill point is

72 cos 17°

from point beneath the pole

cable^2 = (40+72 sin17°)^2 + (72 cos 17°)^2

Answer 2

The correct answer is option b) 76.77

The length of cable that would be needed to reach from the top of the pole to  the base of the pole

The 56 feet is measured on the slope, not out from the pole horizontally.

The top of the pole is at

32 + 56 sin17°

Downhill point is

56 cos17°

From a point beneath the pole

⇒ cable^2 =  (32 + 56 sin17°)^2 + (56 cos17°)^2

⇒ cable^2 = 96.74 + 53.553

⇒ cable^2 = 150.29

Dividing both sides by 2

cable =  75.15 (76 approx)

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Related Questions

HELPP PLEASEEE thanks!

Answers

Answer:

about 1587

that is the answer to the question

Step-by-step explanation:

I just typed it in a calculator

Answer: D

Step-by-step explanation:

Area is pi x r^2

Diameter is 2r

46.7/2 = 23.35

3 x 23.35^2 =  1635.67 or closest to D


Leila works mowing lawns and babysitting. She earns $8.30 an hour for mowing and $7.30 an hour for babysitting. How much will she earn for 6 hours of
mowing and 4 hours of babysitting?

Answers

Answer:

$79 total earnings

Step-by-step explanation:

Here, earnings = (hourly rate)(number of hours):

                          = ($8.30/hr)(6 hrs) + ($7.30/hr)(4 hrs), or

Total earnings =  $49.80               +  $29.20

    "          "         = $79.00

Please answer

Evaluate 60st when s = 5 and t = -3.7

Answers

Answer:

[tex]60st \\ = (60 \times 5 \times - 3.7) \\ = - 1110[/tex]

Answer:

-1110

Step-by-step explanation:

given:

s = 5

t = -3.7

to find

60st

=60*s*t

=60*5*(-3.7)

=300*-3.7

=-1110

(15 Points)
Question: Triangle ABC has the coordinates A (4,2), B (7,6) and C (7,2). Is this an equilateral triangle, a right triangle, or an isosceles triangle. Use evidence to explain your answer.

Answers

Answer:

this is an equilateral triangle

by using distance formula

Please I need help answering this and please explain it to me thanks you the person that gets the answer correct will be marked the brainlyist person

Answers

If x = the number of cars paid to park it would be 8x
If y = the number of trucks paid to park it would be 10y
The total revenue of the day is 830
Equation: 8x+10y=830

Which of the following theorems verifies that XYZ - UWV

Answers

Answer:

I think it's AA because the sum of a triangle is 180 and if you subtract the right angle and the other angle from 180 it gives you the same angle in the other triangle.

Step-by-step explanation:

180-(90+70)=20 The other angle in the first triangle

180-(90+20)=70 The other angle in the second triangle

These angles show that they're similar

Lee kept track of how many kilometres she walked each week for the past two months.

These are the number of kilometers she walked each week.

8, 10 , 9, 10, 7, 8, 8, 4

Find the mean, median, and mode.

Which measure of central tendency will help her predict how much she will walk in week six.

Answers

Answer:

median: 8

mode: 8, 10

mean: 8

The mean will help her predict how much she will walk in week six.

Step-by-step explanation:

First order the numbers:

4, 7, 8, 8, 8, 9, 10, 10

median: 8

mode: 8, 10

mean: 8

Which measure of central tendency will help her predict how much she will walk in week six. The mean will help her predict how much she will walk in week six.

7.865 rounded to the nearest whole number

Answers

Answer:

8

Step-by-step explanation:

Since the first decimal place is greater than 5, it rounds to 8, because 8 is the next whole number to 7.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Rationalize 1/√18

Will Mark as Brainliest for the best

Answers

Answer:

[tex]\frac{\sqrt{2} }{6}[/tex]

Step-by-step explanation

[tex]\frac{1}{\sqrt{18} } \\\frac{1}{\sqrt{18} } *\frac{\sqrt{18} }{\sqrt{18} } \\\frac{1*\sqrt{18} }{(\sqrt{18} )^2} \\\frac{1\sqrt{18} }{18} \\\frac{3\sqrt{2} }{18} \\\frac{\sqrt{2} }{6}[/tex]

Assignment
about the solutions.
Martin decided to buy 3 bags of grapes weighing 4 į pounds each. How much did all 3 bags of grapes weigh?

Answers

12 pounds

1 bag of grapes = 4 pounds

Martin bought 3 bags so:
4 pounds x 3 = 12 pounds

Hope this helps

The sales of a particular brand of children's athletic shoes rose from $4,500,000 to $5,400,000. Find the percent of increase in sales. Round to the nearest tenth of a percent, if necessary

1. 0.2%
2. 20%
3. 16.7%
4. 83.3%​

Answers

answer: 20%
explanation: divide the difference between the two amounts by the original amount.
900,000 / 4,500,500 = .2
next you multiply by 100 to make it into a percentage instead of a decimal.
.2 x 100 = 20
20%
It’s 20 percent hope it helps

Solve using substitution 4x+2y=10
X-y=13

Answers

X= 6 , y= -7
…………………

Answer:

Your solution is (6, -7)

Step-by-step explanation:

4x + 2y = 10

x - y = 13

We want to solve for one variable at a time.

Let's start with x.

x - y = 13

Add y to both sides.

x = 13 + y

Now we have an expression for x.

Plug this into each instance of x in the first equation.

4x + 2y = 10

4(13 + y) + 2y = 10

Distribute the 4 across the parentheses.

52 + 4y + 2y = 10

Combine like terms.

52 + 6y = 10

Subtract 52 form both sides.

6y = -42

Divide both sides by 6.

y = -7

Now that we know y, plug its value back into the expression for x.

x = 13 + y

x = 13 + (-7)

Simplify.

x = 13 - 7

Subtract.

x = 6

Your solution is (6, -7).

Hope this helps!

Plz help!!! I will brainliest and no links!! Also plz explain ur answer!!

Mrs. O and her family decided to go to Disneyland for vacation. When they left their house, they had to put 3/4 of a tank of gas in their car. When they got to St. George, they put 1/2 of a tank of gas in their car. How much more gas did they put in the car the first time?

Answers

Answer:

2/7

Step-by-step explanation:

So we multiply 3 by 2, and get 6.

Then we multiply 1 by 4, and get 4.

Next we give both terms new denominators -- 4 × 2 = 8.

So now our fractions look like this:

6/8 - 4/8

6 − 4 = 2

So the answer is:

2/8

An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie's carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit. 21.2 + w less-than-or-equal-to 30 How much weight can Lorrie add to the carry-on without going over the 30-pound limit?

Answers

Answer:

8.8 pounds

Step-by-step explanation:

To avoid paying extra fees ; carry-on bag should weigh ≤ 30 pounds

Weight of Lorries carry-on = 21.2 pound

Maximum Weight that can be added without going above the 30 pounds limit = w

The inequality reprentation :

21.2 + w ≤ 30

Subtract 21.2 from both sides ;

21.2 + w - 21.2 ≤ 30 - 21.2

w ≤ 8.8

Hence, Maximum Weight that can be added without going above the 30 pounds limit is 8.8 pounds.

Answer:

the other guys right

Step-by-step explanation:

A rectangle has 8 tiles, 1/4 are blue, how many blue tiles are there

Answers

Answer: 2 easy

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Hope this helps and pls mark brainlist if it’s incorrect I will check it

The temperature is below 2 degrees Fahrenheit.

t < 2


A number line going from 0 to 3. A closed circle is at 2. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2. Everything to the right of the circle is shaded.

Answers

Answer:

A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.

Step-by-step explanation:

First, remember that when an endpoint is not in the solution set, we graph an open circle. While if the endpoint is in the solution set, we graph it with a closed circle.

For example, in:

x > 2

x = 2 is not a solution, then we will have an open circle at x = 2

While in the case of:

x ≥ 2

x = 2 is a possible solution, then we graph with a closed circle.

Ok, in this case we have:

t < 2

t is strictly smaller than 2, and t = 2 is not a solution.

Then:

we will have an open circle at 2, and we need to shade all the values to the left of 2 (the values smaller than 2)

The correct option is:

A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.

Answer:

the middle one.

Step-by-step explanation:

please help me i have 5 minutes left: )! ill give Brainliest thanks<3

Answers

Answer:

B

Step-by-step explanation:

B

Question 12
A tree is standing next to a 40 foot high building. The tree has an 18 foot shadow, while the building has a 16 foot shadow. How tall is the tree rounded to the nearest foot?
А
42 feet
B
36 feet
c
45 feet
D
7 feet
2021 Illuminate Education Inc

Answers

Answer:

A

Step-by-step explanation:

The circumference of a circle is 125.6
kilometers. What is the circle's radius?

Answers

Answer:

r = 20 km

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Circumference of a Circle Formula: C = 2πr

r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

C = 125.6 km

Step 2: Solve for r

Substitute in variables [Circumference of a Circle Formula]:                        125.6 km = 2(3.14)rMultiply:                                                                                                             125.6 km = 6.28r[Division Property of Equality] Divide 6.28 on both sides:                            20 km = rRewrite:                                                                                                             r = 20 km

Answer:

197.29

Step-by-step explanation:

Multiple the circumfernece by 3.14 and then divide that number by 2.

can anyone simplify 5(x-6)

Answers

Answer:

5x - 30

Step-by-step explanation:

5(x-6)

Distribute the 5 to both terms inside the parentheses

5*x - 5*6

5x - 30

Answer:

5x-30

Step-by-step explanation:

use the distributive property

I got it partially right I think but I need help !

Answers

Answer:

U got it correct

Step-by-step explanation:

21 POINTS!! Thank you so much!! There’s also things on my page worth lots points points as well! So if you could help with those that would be awesome!!

Answers

Answer:

Second one

third one

fifth one

last one

Step-by-step explanation:

Based on the x intercepts we can write

a(x+1)(x-5)

where a is some constant

solve for a by plugging in some coordinates

let's plug in (1,-8)

-8=a(1+1)(1-5)

-8= -8a

a=1

therefore the quadratic is (x+1)(x-5)

expand this

x²-4x-5

To find out where something is decreasing/increasing it's easiest to take the first derivative

x²-4x-5= 2x-4

set this equal to 0

2x-4=0

2x=4

x=2

Which means that our two intervals are

(-∞,2)U(2,∞)

plug in any values in the intervals to see whether or not the function is increasing/decreation

Let's plug in 0 for (-∞,2)

2(0)-4

-4

It's negative so it's decreasing on this interval

DO the same thing with the other one

let's plug in x=3

2(3)-4

2

this is positive so it's increasing on this interval

Go back to the critical value of x=2 and plug this into the equation to find the max/min

(2+1)(x-5)= -9

This is a minimum because the cofeccient for the degree is positive

For the limit one notice that we have a positive, even degree which means the end behavior is positive, positive

what this means is as x approaches negative infinity it's infinity

and as x approaches infinity it's infinity

Solve the system by addition/subtraction:

3x - 2y = -11 and 3x - 4y = -19

Answers

Answer for this system: (-1, 4)

I’ll pay another & give extra points!

Answers

Answer:

Step-by-step explanation:

A baseball team played 75 games and lost 20% of them. How many games did the team lose?

The number of texts per day by students in a class is normally distributed with a 
mean of 130 texts and a standard deviation of 20 texts. Identify all true statements.

1. A little more than 2% of the  students text 
under 90 times per day.
2. About 50% of the students  text more than 130 times per  day.
3. About 15% of the students  send over 190  texts per day.
4. About 68% of the students  text between 100 and 130  times.
5. A student texting 130 times  per day would have a z score  of 1.
6. A student texting 160 times  falls between 1 and 2 standard deviations from the mean.

Answers

Answer:

1, 2, 6

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]

Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts

1) For x < 90:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{90-130}{20} =-2[/tex]

From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%

Option 1 is correct

2) For x > 130:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]

From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%

Option 2 is correct

3) For x > 190:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{190-130}{20} =3[/tex]

From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%

Option 3 is incorrect

4)  For x < 130:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]

For x > 100:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{100-130}{20} =-1.5[/tex]

From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%

Option 4 is incorrect

5)  For x = 130:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]

Option 5 is incorrect

6)  For x = 130:

[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{160-130}{20} =1.5[/tex]

Since 1.5 is between 1 and 2, option 6 is correct

Need help ASAP, willing to give brainliest to the best answer!

Answers

1. 70, 2. None, 3. Mike

Answer:

Question number 1: 70

Question number2: 0

Question number 3: Mike team

Step-by-step explanation:

Question number 1: Just add all of the numbers together and you will get 70 as your answer.

Question number 2: Becuase everyone in the team has scored at least 1 point or greater.

Question number 3: Mike's team becuase he and his team has the most points out of all the other teams.

Hope this helps :D

Is -33.1 a whole number

Answers

Answer:

No

Step-by-step explanation:

This is because it's part of a whole.  It has to be an integer to be whole.

Answer:

no because Whole numbers include positive integers along with 0 and also  Whole numbers include natural numbers that begin from 1 onwards and also this a negative are not considered as a whole number so its a no

Step-by-step explanation:

Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days. If they both went to the park today and met each other, after how many days again will they be in the park and meet again?

Answers

Answer:

70 days

Step-by-step explanation:

We solve using Lowest Common Denominator method

Find and list multiples of each number of days for a walk until the first common multiple is found. This is the lowest common multiple.

Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days.

Hence:

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90

Therefore,

LCM(7, 10) = 70

Therefore, the number of days in which they will they be in the park and meet again is 70 days

Which is a true statement?
A. m^2– n^2 = (m-n)(m-n)
B. m^2 + n² = (m + n) (m + n)
c. m^3 - n^3= (m - n) (m^2+ mn + n^2)
D. m^3+ n^3 = (m+n)(m^2 + mn +n^2)

Answers

Answer:

C-true

Step-by-step explanation:

A-false

B-false

C-true

D-false

used substitution

The product of the two expressions (m - n)(m + n) gives x² - 4

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the expression (m - n)(m + n):

Multiplying the two expressions gives:

m² + mn - mn - n²

This gives:

m² - n²

The product of the two expressions (m - n)(m + n) gives x² - 4

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Which correctly describes the height of a
cylinder?
A) The distance
between the two
circular
bases.
B) The distance
across the
circular
Base of the
cylinder

Answers

Answer:

A

Step-by-step

If i ever explain the height of a cylinder is would say from the top to the bottom.  So A is the correct answer

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