Priya has planted a garden shaped like a right triangle. One leg of the triangle is 5 meters long, and the angle formed by it and the hypotenuse is 50°. If Priya wants to build a fence around her garden, how many meters of fence will she need? Round your answer to the nearest meter.
Answers
Answer:
19
Step-by-step explanation:
:)
The amount of fence that Priya would need (in meters) is 19 meters approximately.
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
For this case, we've to find the length of the fencing she needs to cover her garden.
Length of fencing needed = Perimeter of the considered right triangle = sum of its sides' lengths
Using the image attached below, from the perspective of angle A which is of 50 degrees from inside, we get:
|AB| = base length = 5 meters (given)|BC| = perpendicular length = p meters (say)|AC| = hypotenuse length = h meters (say)Using tangent ratio,[tex]\tan(m\angle A) = \tan(50^\circ) = \dfrac{p}{5}\\\\p = 5 \tan(50^\circ) \approx 5.96 \: \rm m[/tex]
Using sin ratio,[tex]\sin(m\angle A) = \sin(50^\circ) = \dfrac{p}{h}\\\\h = \dfrac{p}{\sin(50^\circ)} \approx \dfrac{5.96}{\sin(50^\circ)} \approx 7.78 \: \rm m[/tex]
Thus, perimeter of the triangle = 5 + p + h ≈ 18.74 m ≈ 19 m
Thus, the amount of fence that Priya would need (in meters) is 19 meters approximately.
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
Related Questions
2. Columbia Records unvelled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948,
In two fomats: 10 inches in diameter and 12 Inches in diameter. If the thickness of one
vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and
12 inch records.
Answers
Arthur has a balance of $2330 on his credit card, which he plans to pay off by
making a payment of the same amount each month. Which of these monthly
amounts will allow Arthur to pay off his balance the fastest?
Answers
Answer:
C. $80
Step-by-step explanation:
A. $70
B. $65
C. $80
D. $75
When he pays $70 monthly
Number of months = $2330 / $70
= 33.3 months
When he pays $65 monthly
Number of months = $2330 / $65
= 35.9 months
When he pays $80 monthly
Number of months = $2330 / $80
= 29.1 months
When he pays $75 monthly
Number of months = $2330 / $75
= 31.1 months
The monthly amounts that will allow Arthur to pay off his balance the fastest is $80 per month
A car drove 5 miles in 30 minutes. How far will the car go in 1 hour?
Answers
Answer: 10 miles
Step-by-step explanation:
Practically, just look at it. 30 minutes = 5 miles, 60 minutes = 10 miles
Mathmatically, find the constant of proportionality.
30 minutes divided by 5 miles = 6 minutes per 1 mile. 60 minutes = 10 miles
The members of a drama club sold tickets to a school play.
Each student ticket (s) costs $5.
Each adult ticket (a) costs $7.
28 more student tickets were sold than adult tickets.
The total amount of ticket sales was $800.
Which equation can be used to determine the number of adult tickets sold:
a
5(a + 28) + 75 = 800
b
5(a + 28) + 7a = 800
5(S + 28) + 7 a = 800
d
5(5 + 28) + 75 = 800
Answers
Answer:
Step-by-step explanation:
28*5 115 sub 115 from 800 then divide 685 by 5 then add 7 into that number 28 times
how many different four-digit ID tags can be made if repeats are allowed
Answers
Answer:
4!Explanation:
4! = 4×3×2×1 = 24
here's an example:
123412431324134214231432213421432314234124132431312431423214324134123421412341324213423143124321Find the volume of the cone.
please help me.
Answers
Answer:
46.08
Step-by-step explanation:
the formula for finding the volume of the cone is: V = π r^2 h/3
Insert the information provided (2 because half the diameter is the radius)
and solve. Hope this helps!
(x+3)(x-3)(3x+2) can you work this out please
Answers
Answer: 3x^3 + 2x^2 −27x −18
Step-by-step explanation below.
(x+3)(x−3)(3x+2)
=((x+3)(x−3))(3x+2)
=((x+3)(x−3))(3x)+((x+3)(x−3))(2)
=3x3−27x+2x2−18
=3x3+2x2−27x−18
Hope this helps!
Please help me I really need it this is hard for me
Answers
Answer:
27.6 cm
Step-by-step explanation:
Answer: 44.6
Step-by-step explanation:
It’s not that hard use the formula of the volume of a sphere. And just replace the R with whatever your radius is, if you have a diameter just divide it by 2 to get the radius. Hope this helps
Which is the minimum or maximum value if the given function
А.
The function has a maximum value of -4.
B.
The function has a minimum value of -4.
C. The function has a maximum value of -3.
D
The function has a minimum value of -3
Answers
Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results.
RESULTS OF FLIPPING PAPER CUP
Outcome Right-side UP Upside Down On its Side
Frequency
10
18
22
Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times?
333
440
550
786
N
Previous
Answers
Answer:
440
Step-by-step explanation:
i did the test already
1 1/4 feet in yards pls
Answers
Answer: 0.416666667 yards
Answer:
2/5 of a yard
Step-by-step explanation:
Hope this helps and have a wonderful day!!!!
The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent for the apartment in 2021
Answers
Answer:
$9,393.78
Step-by-step explanation:
Using the equation:
A = P(1+r)^t
Where,
A = final amount
P = initial amount = $6,600
r = rate of increase = 4% = 0.04
t = time in years = 9 years (2012-2021)
A = 6,600(1 + 0.04)^9
= 6,600(1.04)^9
= 6,600(1.4233)
= 9,393.78
A = $9,393.78
How many solutions would there be for the following system of equations? y = 3x - 5 67 – 2g = 10 A 1 Solution B 2 Solutions c) No solution D Infinitely Many solutions
Answers
Answer:
D
Step-by-step explanation:
Given the 2 equations
y = 3x - 5 → (1)
6x - 2y = 10 → (2)
Substitute y = 3x - 5 into (2)
6x - 2(3x - 5) = 10
6x - 6x + 10 = 10 ( subtract 10 from both sides )
6x - 6x = 0 , that is
0 = 0 ← True
This indicates the system has infinitely many solutions → D
I need help with this , 7x-3y+4x-5y+8x-6y
Answers
Answer:
19x−14y
Steps:
7x-3y+4x-5y+8x-6y
=19x-3y-5y-6y
= 19x−14y
plz mark as brainliest
Answer:
19x-14y
Step-by-step explanation:
rearrange
7x+4x+8x-3y-5y-6y
solve the coefficient and add the variables
median for 15,17,15,16,14,18,5
Answers
Answer:
the median is 15
Explanation:
you can find the median by arranging the numbers from smallest to largest and finding the number in the middle.
5 14 15 15 16 17 18
in this case, the number in the middle is 15 so the median for this data set is 15.
i hope this helps! :D
What is the volume of the two boxes?
Answers
Answer:
volume = 2520 mm³
Step-by-step explanation:
v = 2x12x7x15 = 2520 mm³
Simplify 2xy(4x+7-3y
Answers
Name the coordinates of P if P(0, 4) is rotated 180°
Answers
Answer:
P'(0, -4)
Step-by-step explanation:
when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees
Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)
Find the volume of a cylinder with a diameter 4 mm and a height 8 mm.
Answers
Answer:100.53mm
Step-by-step explanation:
Can you help me solve this?
Y-intercept= 4, goes through the point (2, 3)
Please solve using y=Mx+b
Answers
Answer:
y=-1/2x+4 Is your answer
Step-by-step explanation:
y=mx+b
3=2x+4
-1=2x
x=-1/2
You already know y is 4 so y=-1/2x+4
HELP PLEASE!!!!!! Find the speed of an athlete who makes 4and3/4 laps in 3mins45 seconds on a 400m field in m/s
Answers
Given:
An athlete who makes [tex]4\dfrac{3}{4}[/tex] laps in 3 mins 45 seconds on a 400m field.
To find:
The speed of the athlete in m/s.
Solution:
We know that,
Distance covered in 1 lap = 400 m
Distance covered in [tex]4\dfrac{3}{4}[/tex] laps = [tex]4\dfrac{3}{4}\times 400[/tex] m
= [tex]\dfrac{19}{4}\times 400[/tex] m
= [tex]1900[/tex] m
We know that,
1 minute = 60 seconds
3 minutes = 180 seconds
3 minutes 45 second = 180 + 45 seconds
= 225 second
The speed of the athlete is:
[tex]Speed=\dfrac{Distance}{Time}[/tex]
[tex]Speed=\dfrac{1900}{225}[/tex]
[tex]Speed\approx 8.44[/tex]
Therefore, the speed of the athlete is about 8.44 m/s.
Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish.
Answers
Answer:
The correct answers are:
• Option 1,
• Option 3 and
• Option 4
Step-by-step explanation:
From the two-way table, it is true that;
1.) 5 students study both French and Spanish.
2.) 30 students study French but not Spanish.
3.) 2 students study neither French nor Spanish
4.) 35 students study French
5.) 68 students study Spanish
6.) 63 students study Spanish but not French
This makes the correct answers options 1, 3 and 4
P.S: I believe your question is from the attached image
Answer:
A. 5 students study both French and Spanish.
C. 2 students study neither French nor Spanish.
D. 30 students study French, but not Spanish.
:)
what is 21x+1 in simple form
Answers
Answer:
( 21 x X ) + 1
Step-by-step explanation:
Only one correct answer
Answers
Answer:
19
Step-by-step explanation:
ngl its kinda easy 5(2)+3(3) = 10+9 = 19
Answer:19
Step-by-step explanation:5x2=10+3x3=9 so 10+9=19
a hiker goes 6 miles east and then turns south. if the hiker finishes 7.2 miles from the starting point. how far south did the hiker go?
Answers
Answer:
1.2
Step-by-step explanation:
You have to subtract 7.2 - 6 = 1.2
East and south direction motion are perpendicular to each other. The hiker went approx 4 miles in south.
How are directions related?East or west are perpendicular (forming 90° ) to north or south directions.
North is 180° to south, and east is 180 degrees to west.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB.
Considering the diagram attached below, we deduce that the triangle ABC is right angled triangles, and thus, its sides' lengths will follow Pythagoras theorem.
The movement the hiker did in the south direction is the length of the side BC, denoted by |BC| = x miles (assume)
Then, by applying Pythagoras theorem, we get:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\(7.2)^2 = 6^2 + x^2\\51.84 = 36 + x^2\\\\\text{Subtracting 36 from both the sides and taking root, we get}\\\\x = \sqrt{15.86} \approx 3.98 \approx 4 \: \rm miles[/tex]
(took positive root since distance is a non-negative quantity)
Thus, the hiker went approx 4 miles in south.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Which of the following graphs best represents a function that has a minimum value and x-intercepts of 3 and -1?
Answers
Answer:
a
Step-by-step explanation:
please help with this ?!?
Answers
Diameter = 12
Radius = 6
Area of circle = (pi) r ^2
=pi 6^2
=36pi
Area = 113.1 cm^2
Find the area of the circle. Round your answer to the nearest hundredth. diameter 3in
Answers
Area of circle = pi × r squared
A= 3.14....× (1.5×1.5)
A= 7.068583471
A= 7.07in( to nearest hundredth)
someone help me please like right now lol of and don’t put any links pls!
Answers
Answer:
8 shirts
Step-by-step explanation:
Help
I dont know the answer im not very smart