A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?​

Answers

Answer 1
Draw the picture; you have a right triangle. The guy wire is the hypotenuse
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft

Related Questions


The paperweight shown below is in the shape of a square pyramid.

What is the volume of this paperweight?

Answers

Answer:45

Step-by-step explanation:

V=a2h

3=62·3.75

3=45

Factor this trinomial completely.
15x2 + 11x - 12
A. (x + 4)(15x - 3)
B. (3x + 3)(5x – 4)
C. (x+3)(15x - 4)
O D. (3x + 4)(5x – 3)

Answers

Answer:

D

Step-by-step explanation:

3x * 5x = 15x^2

3x * -3 = -9x

4*5x = 20x

4 *-3 = 12

so 15x^2 +(20x -9x) -12 or 15x^2 +11x -12

What is the value of x?​

Answers

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.

If this doesn’t answer your question, then do you have any further information?

15 players for a softball team show up for a game: (a) How many ways are there to choose 10 players to take the field? 3003 (b) How many ways are there to assign the 10 positions by selecting players from the 15 people who show up? 3003 (c) Of the 15 people who show up, 5 are women. How many ways are there to choose 10 players to take the field if at least one of these players must be a woman?

Answers

Answer:

(a) 3003 ways

(b) 10897286400 ways

(c) 3002 ways

Step-by-step explanation:

Given

[tex]n = 15[/tex] --- 15 players

Solving (a) Ways of selecting 10 players.

This implies combination.

So, we have:

[tex]r=10[/tex]

Using:

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

We have:

[tex]^{15}C_{10} = \frac{15!}{(15-10)!10!}[/tex]

[tex]^{15}C_{10} = \frac{15!}{5!10!}[/tex]

Simplify

[tex]^{15}C_{10} = \frac{15*14*13*12*11*10!}{5!10!}[/tex]

[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5!}[/tex]

[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5*4*3*2*1}[/tex]

[tex]^{15}C_{10} = \frac{360360}{120}[/tex]

[tex]^{15}C_{10} = 3003[/tex]

Solving (b) Ways of assigning positions to 10 players.

This implies permutation.

So, we have:

[tex]r=10[/tex]

Using:

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

We have:

[tex]^{15}P_{10} = \frac{15!}{(15-10)!}[/tex]

[tex]^{15}P_{10} = \frac{15!}{5!}[/tex]

Solve each factorial

[tex]^{15}P_{10} = \frac{1307674368000}{120}[/tex]

[tex]^{15}P_{10} = 10897286400[/tex]

Solving (c) Ways of choosing at least 1 woman

We have:

[tex]Men = 10[/tex]

[tex]Women = 5[/tex]

Ways of selecting 10 players is: (a) 3003 ways

Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)

Using complement rule:

At least 1 woman = Total - No woman

[tex]At\ least\ 1\ woman = 3003 - 1[/tex]

[tex]At\ least\ 1\ woman = 3002[/tex]

what’s the domain of this relation?

Answers

Answer:

there is nothing here but thanks for the points

Step-by-step explanation:

Have a great rest of your day/night!

Help please ASAP I have to have this done In the hour

Answers

Answer:

A. 1,2,3,4

B. 1,2,3

C. 5 and up

D. $30

Step-by-step explanation:

What is the missing length?
10 km
2
area = 33 km

Answers

Areas are measured in km2, not in km.

a=5 (the fifth try) The amount of time Chip took to run through the maze on the 5th try can be modeled by t = 0.5a2 - 9a + 48.5 where t = time in seconds. Variable a=5, and then calculate the time t. Compare your time to others. Is it higher or lower? Why?​

Answers

Answer:

lower

Step-by-step explanation:

3(5)+2(w-1)=
Cual es el valor de la expresión algebraica?

Answers

Answer:

distribute

2(w-1)

a(b-c)=ab-ac

(3)(5)+(2)(w)+(2)(−1)

=15+2w+−2

combine like terms

15+2w+−2

=(2w)+(15+−2)

=

2w+13

Step-by-step explanation:

https://qcv.gg/rXpglU

find the quotient 5 2/3 ÷ 3/5 leave answer as a mixed number in simplest form.​

Answers

Answer:

[tex]9\frac{4}{9}[/tex]

Step-by-step explanation:

Exact from:

[tex]\frac{85}{9}[/tex]

Decimal Form:

9.4

Mixed Number Form:

[tex]9\frac{4}{9}[/tex]

Give me Brainllest

11. Find the sum

2 1/2 + 1 3/4=

Answers

Answer:

It should be 4.25.

An isotope of the element seaborgium has a half-life is 30 seconds. How much would there be left after one minute if we started with 4 pounds? Show all your work.

Answers

Answer:

Step-by-step explanation:

Using the graph, determine the coordinates of the x-intercepts of the parabola.

Answers

The result is (0 ; -32). See the 3 pictures for details.

Write the slope-intercept form of the equation for the line passing through the given pair of points. (-9, 0) and (6, 4)
explain please show work

Answers

Hope you understand :)

The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?


5 cubic units


40 cubic units


55 cubic units


60 cubic units

Answers

Answer:

40 cubic units

Step-by-step explanation:

The vertices of the triangle shown are (-2, 2), (4, -1), and (-2, -3).
y
What is the area of the triangle?
O A 11 square units
OB 15 square units
o C.13 square units
O D. 17 square units

Answers

Answer: 15

Step-by-step explanation:

calculate the reciprocal of -0.07 correct to 1 decimal place

Answers

Answer:

-14.3

Step-by-step explanation:

Use a calculator.

1/(-0.07) = -14.2857...

Answer: -14.3

HELP PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

The answer is H.) (A, B, C)

Step-by-step explanation:

3 is a whole number and a natural number and 4/3 is a rational number

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

12.5%

Step-by-step explanation:

r = (1/4)((1500/1000) - 1) = 0.125

r = 0.125 = 12.5%

D or 12.5%
Explanation: r= (1/4) ((1500/1000)-1) =0.125
r= 0.125 = 12.5%

Find 0% of 48:

Find 100% of 48:

Find 50% of 48:

Find 25% of 48:

Find 75% of 48:

Answers

Answer:

0

48

24

12

36

Step-by-step explanation:

What is an Expression?​

Answers

A feeling or emotion

Answer:

Hello, an expression are numbers, symbols, and operators grouped to show the value of something. For example, 4+5 and 45/5-2 are expressions.

Step-by-step explanation:

I hope this helped you!

PLEASE HELP ME GIVING LOTS OF POINTS AND BRAINLIEST TO THE FIRST LEGIT ANSWER!!!

Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:

Main title on the graph is Swimming Pool Population. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of People at the Pool. Dots are made at the ordered pairs 2.5, 1 and 5, 2 and 7.5, 2 and 7.5, 3 and 7.5, 4 and 10, 5 and 10, 6 and 12.5, 6 and 15, 7 and 15, 8 and 17.5, 5 and 17.5, 7 and 20, 9 and 22.5, 7 and 22.5, 9 and 25, 11 and 27.5, 12.

Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Answers

Answer:

As the temperature increases, the number of people at the pool increases.

Part B: I think the line best fit can be one that starts at (0,0), and goes up until (28,12). The approximate slope would be 0.42, and the y-intercept is 0.

SLOPE:

(28,12)

y / x = m

12 / 28 = 0.42

Y-INTERCEPT:

​(0,0)

= 0

Step-by-step explanation:

he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).

Answers

Answer:

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

Step-by-step explanation:

Step(i):-

Given that  National Center for Health Statistics interviewed 5409 adult smokers in 2015

Sample size 'n' = 5409

Given that 2666 of them said they had tried to quit smoking during the past year.

proportion

             [tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]

             Q = 1 - P = 1 - 0.49288 = 0.50712

Step(ii):-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]

[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]

(0.49288 - 0.01332 , 0.49288+0.01332)

(0.47956 , 0.50620 )

Final answer:-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

The shape given below can be decomposed into which two figures? (Pick two)

Answers

Answer:

C and D

Step-by-step explanation:

I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.

A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.

What is a trapezium?

The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.

A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.

A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.

Thus the correct options are A and D.

To know more about trapezium, visit;

https://brainly.com/question/31120646

#SPJ2

the measure of one side of a square is x+5. which expression represent the area and perimeter of the square?

Answers

Answer:

A= x^2   P=4s

Step-by-step explanation:

Area of a square

Perimeter= 4s

Area= (the length of one side) ^2

What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)

Answers

I think the answer is A, but im sorry if its wrong

Answer:

Hi! The answer to your question is D. (-3, -20)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

Brainliest is greatly appreciated!

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

2/3 * n = 12

im not sure what this is please help

Answers

Answer:

n= 18

Step-by-step explanation:

:)

Answer:

18

Step-by-step explanation:

[tex]\frac{2}{3} *n=12\\\frac{2}{3} *n/\frac{2}{3} =12/\frac{2}{3} \\n=18[/tex]

Find the factored form of
10a + a2 = 0

Answers

Answer:

a = 0, -10

Step-by-step explanation:

I think this is correct but it may not be.

Answer:

Step-by-step explanation:

a(10+a)=0 or - i cant remember which one it was but hope this helps

find the value of x
help pleaee

Answers

Answer:

x = 180 - 57 - 79 = 44°

Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.

Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?

Answers

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation

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