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

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.

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

Answer:

U got it correct

Step-by-step explanation:

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

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

Answer:

Step-by-step explanation:

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

Answer:

A

Step-by-step explanation:

Answer for this system: (-1, 4)

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

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

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

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

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]

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

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:

Answer:

r = 20 km

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Circumference of a Circle Formula: C = 2πr

Step-by-step explanation:

Step 1: Define

Identify variables

C = 125.6 km

Step 2: Solve for r

Answer:

197.29

Step-by-step explanation:

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

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

Answer:

this is an equilateral triangle

by using distance formula

Answer:

B

Step-by-step explanation:

B

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!

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

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

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

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

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:

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:

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

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

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