Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.
Answers
Answer:
76°
Step-by-step explanation:
Applying trigonometry :
Angle x ;
Tan x = opposite / adjacent
Tan x = (30/20)
x = tan^-1(30/20)
x = 56.31°
Angle y;
Tan y = opposite / adjacent
Tan y = (22/20)
x = tan^-1(22/20)
x = 47.73°
The angle θ ;
Sum of angles in a straight line = 180
56.31 + 47.73 + θ = 180°
θ = 75.96°
Related Questions
A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, if necessary.
Answers
Answer:
$749.89
Step-by-step explanation:
TV price = 100% = 695.95
Sales TAX = 7.75% = x
Total price = 107.75% = x dollars
1.0775 * 685.95 = 749.886125 ≈ 749.89
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
. Parallelogram ABCD,
Answers
Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9
Answers
Answer:
[tex]n=9[/tex]
Step-by-step explanation:
[tex]3n-18=9[/tex]
[tex]3n+18=[/tex] +18
[tex]3n=27[/tex]
[tex]3(9)=27[/tex]
[tex]n=9[/tex]
the expression (x^2-1)^-2/3 is equivalent to
Answers
Answer:it’s x
Step-by-step explanation:
Sry if I’m wrong
Help me I don't know any
Answers
Answer:
25%
Step-by-step explanation:
(a)
We need to express in percent 8 as a percent of 32.
We have,
Numerator = 8
Denominator = 32
Percent,
[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]
Hence, the required percentage is 25%.
Which relationship has a zero slope?
Answers
a²+b²=c²
5²+9²=c²
25²+81²=c²
106=c²10.2
5
Solve for x. assume that lines which appear tangent are tangent. x=
Answers
Answer:
x = 8
Step-by-step explanation:
The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.
9(9 + 11) = 10(10 + x)
180 = 100 + 10x
10x = 80
x = 8
Which of the following is an arithmetic sequence with a common difference of +3?
A) 17, 14, 11, 8, ...
B) 1, 3, 9, 12, ...
C) 4, 7, 10, 13, ...
D) 12, 15, 19, 24, ...
Answers
4 + 3 7 + 3 1 0 + 3 1 3
How do you do this ?
Answers
Answer:
the answer is- g= 72/d minus f/d
PLEASEEEE ANSWER THIS IM BEING TIMED AND SHOW YOUR WORK ILL GIVE TOU BRAINLIST IF YOU DO!!!!
Answers
CAN SOMEONE PLEASE HELP ME??!!
Answers
Answer:
RO = 17.9
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
NK/NM = RO/RQ
71.6/64 = RO/16
71.6•16/64 = RO
RO = 17.9
MATH HELP PLEASE HELP
Answers
Answer:
75 cm
Step-by-step explanation:
150÷2 = 75
Good luck with your exam :)
Answer:
75
Step-by-step explanation:
Essentially this question for the radius as it ask for the distance from the middle of the pit to the outside of the pit.
We are given the diameter (150) which is a straight line through the middle from one end to the other
To find the radius given the diameter you simply divide by 2
So answer = 150/2 = 75
State if the two triangles are congruent.
Answers
Answer:
The triangles are congruent by HL
Step-by-step explanation:
The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent
We know one leg is equal to the other by the red line. The hypotenuse is the same since it is the same line.
The triangles are congruent by HL
Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?
Answers
Answer:
18 T-shirts
Step-by-step explanation:
$4×18= $72 $72+$34=$106
106 - 34 = 72
72 / 4 = 18
By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%? THANK YOU SO MUCH TO WHOEVER ANSWERS IT I HAVE VERY LITTLE TIME!
Answers
Answer:
decreased by 50%
Step-by-step explanation:
[tex]\frac{x}{y}[/tex]
100% - 60% = 40% = 0.4
100% - 20% = 80% = 0.8
[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%
Hi, I'm really struggling with this question, any help?
A function inputs values for x and outputs values for y. The ordered pairs below represent three points on the graph of the function. (2,4) (3,0) (5,−1)
Is the function linear? Justify your response.
Answers
Answer:
Nope it isn't linear.
Step-by-step explanation:
Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly
for instance you put 2,4
4 = -4(2)+12
4 = -8+12
that is true
but if you put in (5,-1)
-1 = -4(5)+12, which is not true
if all of them is true, then it would be true.
if even ONE of them is not true, then the who line is not linear
What is the product?
Answers
Answer:
-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³
Step-by-step explanation:
( - 6a³b + 2ab²)( 5a² - 2ab² b)
multiply the second parantheses by each term from the first parantheses.
-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)
-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)
-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab
combine like terms
-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³
roatate triangle p 90* clockwise about the point (2,-1)
Answers
Answer:
hope this helps
Step-by-step explanation:
the expanded form of 6,398 is
Answers
Answer:
The expanded form of 6,398 is 6000 + 300 + 90 + 8
Dmitri began working on his homework at 3:15 p.m. He worked for 1 5/6 hours and then stopped to have dinner. He started working on his homework again at 6:32 p.m. and worked for 1 1/3 hours longer. How many minutes did Dmitri work on his homework in all?
Answers
1 5/6 + 1 1/3 = 3 1/6
3 1/6 * 60 = 190
Bab isn’t big-brained enough for mafs. Help, please?
Answers
Explanation: An arc is a segment of a curve.
Please help test tomorrow everything you need is in the photo below
Answers
Answer:
yes
Step-by-step explanation:
Need some assistance please
Answers
Answer:I hope this could help !ut the answer is 4
Step-by-step explanation:
2 of them left so there are 4 left
Pls I need help with this
Answers
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
SA = 2πη2 + 2πχh
(Use 3.14 for T.)
Find the surface area of
a cylinder that has a base
radius of 2 feet and a
height of 14 feet.
square feet
Do NOT round your answer.
Answers
Answer:
201.06
Step-by-step explanation:
A=2πrh+2πr2
Hope it is correct
Calculate the volume of a cone with: 11cm height and 6cm radius
Answers
Answer:
volume=1243.44 cm^3
Step-by-step explanation:
volume of a cone=πr^2h
=3.14*(6)^2*111
=3.14*36*11
=1243.44 cm^3
Answer:
V=414.69cm³
Step-by-step explanation:
use v=πr²h/3
pie is 22/7 so when you fix in your values you will get the answer
PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00
Answers
Help plz..And No links!! I repeat No links!!
Answers
Answer:
38sq yards
Step-by-step explanation:
Separate it into parts
3x2 for the top section
8x4 for the bottom
6+32=38
If sin θ = square root of three over two, which could not be the value of θ?
Answers
Will give brainlist!!
Answers
Answer:
B
Step-by-step explanation:
Have a wonderful day
The answer Is B
