Mathematics High School

Pam is placing a bird feeder in a tree in her back yard. She first needs to put up a 10-inch wooden platform in the fork of two tree branches that make a 52° angle, as shown below. What equation can Pam use to determine xthe distance up the tree trunk from the fork at she should drill attach the platform?

Answers

Answer 1

Answer:

[tex]x = \frac{10}{\tan(52^o)}[/tex]

Step-by-step explanation:

Given

See attachment for illustration

Required

Equation to find x

The relationship between angle [tex]52^o[/tex] and side lengths x and 10 inches is by tangent formula which is given by:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(52^o) = \frac{10}{x}[/tex]

Make x the subject

[tex]x = \frac{10}{\tan(52^o)}[/tex]

Pam Is Placing A Bird Feeder In A Tree In Her Back Yard. She First Needs To Put Up A 10-inch Wooden

Related Questions

what is x
−9.2= 2.5 − 3.9 x

Answers

Answer:

3.08 = x

Step-by-step explanation:

-9.2 = 2.5 - 3.9x

-9.2 + (-2.5) = -3.9x

-12 = -3.9x

-12/-3.9 = x

3.08 = x

Hope this helps!

Find the volume of the sphere.
Either enter an exact answer in terms of πpi or use 3.14 for π and round your final answer to the nearest hundredth.

Answers

Answer:

V=4

3πr3 is formula of this question

Recently, the value of a house increased by 20.5%.
What is the current value of the house if its original value
was $550,000?

Answers

550,000 x .205 = 112,750
550,000 + 112,750 = $662,750
To find the % of something, just move the decimal 2 places to the left to multiply.

The four factors of 91​

Answers

Answer:

1,7,13,91

Step-by-step explanation:

thats the four factors if 91

36) In the diagram, the coordinates of endpoints A and B are (-3, 9) and (9,5). Find the length from A to E?

Answers

Step-by-step explanation:

the length of AB = √(9+3)²+(5-9)²

= √144+16=√180 = 6√5

the length from A to E = ⅜× 6√5

= 2.25 √5 or 5.03

Length of AB,

→ √(9+3)² + (5-9)²

→ √144+16

→ √180

→ 6√5

Length from A to E,

→ ⅜ × 6√5

→ 2.25 √5

→ 5.03

ans thissss plsssssssassss

Answers

Answer:

21.16 m^2

Step-by-step explanation:

perimeter of square=4l

18.4/4=l

4.6=l

area of square=l^2

=4.6^2

=21.16 m^2

plzzzzz help______________​

Answers

Answer:

iii

y=70

x=110

is that what you needed help with?

you borrow $90 from your grandmother. You pay back $15 each week. write an equation in standard form that represents the amount owed y after x weeks.

Answers

Answer:

90-15x

Step-by-step explanation:

x being the number of weeks

6. Using the distributive property, find the following products 1002 x 1518​

Answers

3000 is the answer just look it up

Answer:

The best choice of answer answer is = 1521036

What is the measure of

Answers

Answer:   A

Step-by-step explanation: IS THE RIGHT ANSWER 75 DEGREES.

What is the slope of the line?
Any help?

Answers

Answer:

slope = 1

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

          = (1-0)/(4-3)

          = 1

Side note: I used the points (3,0) & (4,1)

Answer:

1

Step-by-step explain

firstly find any two point on the line

e.g. (0,-3) and (3,0)

for any straight line

[tex]m=\frac{y'-y}{x'-x}[/tex]

where m is slope, y' x' y x are coordinates of two point (x,y) and (x',y')

in this case, we can use (0,-3) and (3,0)

[tex]m=\frac{0-(-3)}{3-0} =\frac{3}{3} =1[/tex]

which recursive formula can be used to represent the sequence 2,4,6,8,10.... ?
a
b
c
or d

Answers

Step-by-step explanation:

the (A) formula is preferable to use and is the correct one


Find the distance from the person to the tower, given that the nested triangles are similar.

PLEASE HELP ASAP!!!!! due in 5 minutes

Answers

Step-by-step explanation:

DE/CE=AB/CB

6/10=100/(CE+BE)

6/10=100/(10+BE)

reducing fraction

3/5=100/(10+BE)

3(10+BE)/5 =100

3(10+BE)=500

BE=(500/3)-10

BE=470/3

BE=156.67ft

Some triangles are drawn on squared paper. Which 3 triangles are congruent to one another?

Answers

Answer:

a, e, and d are all congruent

Step-by-step explanation:

they r all the same size and lengths

Those three triangles are; A,D,E

How? well see the attachment for this, have tried to make you understand.

Lim(4/3)^n bằng bao nhiêu

Answers

ورمي ما اعرف اي وحده قالت لي انا ابي اسوي شي انا انا ابي اسوي لك انا انا ابي اكل ولا لا لا خلاص عادي

The graph of y=4x2-4x-1=0

Answers

Answer:

Here we have the equation:

y = 4*x^2 - 4*x - 1

And we should have the graph (you can see it below this answer)

Now we want to find the solutions of:

4*x^2 - 4*x - 1 = 0

These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.

Then we need to find the two values of x at which our graph intersects the x-axis.

In the graph, we can estimate the solutions as:

x = -0.2

x = 1.2

To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:

Then the two solutions are:

x = (4 + 5.66)/8 = 11.2075

x = (4 - 5.66)/8 = -0.2075

Step-by-step explanation:

please help me solve
please show how you got the answer

Answers

The missing integer is 10. Because before the box those numbers all together = -10. So all you had to do was find a number which could go there that equaled 0 which in this question is 10.

alicia is a nurse in 2016 she earned a monthly salary of £1750

Answers

Answer:

Step-by-step explanation:

Given :

Salary in 2016 = 1750

Pay rise in 2017 = 2%

Monthly salary = (1 + 2%) of 175= 1.02 * 1750 = 1785

Hours worked per week = 45 hours

Number of weeks = 48 weeks

The total hours worked for the year :

(48 * 45) = 2160 hours

Average pay per hour for the year ;

(Average Salary earned over 12 months) /total number of hours worked for the year

(1785 * 12) / 2160

= 21420 / 2160

= 9.9166 per hour

= $9.92 per hoj

Which of the following points is not a solution of the system shown?
x ≥ 7
y ≤ x + 7

(7, 15)
(8, 14)
(7, 7)

Answers

Answer:

(7,7)

is not solution of following point

dhdhvxhdhdbdhdbd......

Answers

Answer: 4.4

Step-by-step explanation:

it would be 4.4 because 10 x 6.9 = 69

have a great day! (brainliest?)

Answer:

9.7

Step-by-step explanation:

tan 44° = x / 10

x = 10 tan 44°

9.7

write 2x+5/x + 3/x+3 as a single fraction to it's simplest form​

Answers

oky oky oky oky oky oky

sana makatulonh

Given A=(2,-7,6,1) and B=(-9,5,1-1)
If X - A = B, what is X?
(-7,-2,7,0)
(-11,12,-5,-2)
(-7,-12,5,0)
(11,-12,5,2)

Answers

Answer:

the correct answer is (-7,-2,7,0)

If the S.P. of an article is Rs 240 and the discount given on it is Rs 28, then the M.P. is _______.

Answers

Answer:

M.P=S.P-Discount given

M.P=240-28=212

has side lengths 5 units, 10 units, and 12 units. is similar to and its longest side is 24 units. What is the
perimeter of ?

Answers

Answer:

51

Step-by-step explanation:

To get the perimeter, add all the side lengths: 5+10+12+24=51

In 24 games, Jamie has 48 scoring attempts. Which unit rate describes Jamie's scoring attempts? A) 1/2 of a scoring attempt per game. B) 2 scoring attempts per game. C) 24 scoring attempts per game. D) 72 scoring attempts per game

Answers

Answer:

The answer is B) 2 scoring attempts per game.

The total length of 8 bricks is 75cm longer than the total length of 5 bricks. Write an equation and solve it to find the length of each brick.

Answers

Answer:

8x = 75 + 5x

where x = length of one brick

25cm

Step-by-step explanation:

Help plz assap with these 4 questions :(:)))

Answers

Answer: -The diameter: 2m

               -The radius: 0.5m

               -"name":SG

               -The radius:12m

Answer:

5,D,2,24

Step-by-step explanation:

qn1=5

qn2=D

qn3=2

qn4=24

help please. :) we support juneteenth lol

Answers

Answer:

it is a Equilateral triangle

A-which temperature is warmer, -2 degrees Celsius or, -5 degrees Celsius B-Write and inequality to express the relationship between -2 and -5

Answers

Answer:

Step-by-step explanation:

On a number line, -2 appears to the right of -5, and therefore -2 is warmer than -5.  (Answer A)

The difference between -2 and -5 is -2 - (-5) = 5 - 2 = 3 degrees C  (Answer B)

In other words, -2 is 3 degrees C warmer than -5 degrees C.

When the fifth term of an arithmetic sequence whose  common difference is D=six and whose first term is a1 =four

Answers

Answer:

28 is the answer

Step-by-step explanation:

in an arithmetic sequence nth term An is given by the equation

[tex]an \: = a1 + (n - 1) \times d[/tex]

where A1 is first term and d is common difference. thus from the question we have

[tex]a5 = 4 + ((5 - 1) \times 6) \\ = 4 + (4 \times 6) \\ = 4 + 24 \\ = 28[/tex]

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