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:
[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]
Related Questions
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
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
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]
help please. :) we support juneteenth lol
Answers
Answer:
it is a Equilateral triangle
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]
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!
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
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.
The four factors of 91
Answers
Answer:
1,7,13,91
Step-by-step explanation:
thats the four factors if 91
Lim(4/3)^n bằng bao nhiêu
Answers
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
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
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.
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
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
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
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)
plzzzzz help______________
Answers
Answer:
iii
y=70
x=110
is that what you needed help with?
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:
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
What is the measure of
Answers
Answer: A
Step-by-step explanation: IS THE RIGHT ANSWER 75 DEGREES.
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
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 + 112,750 = $662,750
To find the % of something, just move the decimal 2 places to the left to multiply.
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
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
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
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 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:
6. Using the distributive property, find the following products 1002 x 1518
Answers
Answer:
The best choice of answer answer is = 1521036
please help me solve
please show how you got the answer