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.

Priya Has Planted A Garden Shaped Like A Right Triangle. One Leg Of The Triangle Is 5 Meters Long, And

Answers

Answer 1

Answer:

19

Step-by-step explanation:

:)

Answer 2

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:

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Related Questions

There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.

Answers

Answer:

about 10 hershy kisses

Step-by-step explanation:

Sorry If wrong :(

Can I get help with number 25 its really hard for me.

Answers

your answer is gonna be -4/3 !!

Which of the following answers matches “The quotient of 9 and the sum of the quantities 5 and product of 8 and x.”

Answers

Answer:

I believe this is the answer  9/(5 + 8x)

Which ordered pair will be solution for the function y = 12 - x?

(4, 9)
(6, 6)
(2, 14)
(7, 4)


( if u steal my points ill steal yours)

(no links or ill report u and get u band , I am not bluffing)

(also ill give 100 brianlist after if its right)

Answers

Answer:

(6, 6)

Step-by-step explanation:

ordered pair (6, 6) will be solution for the function y = 12 - x.

When x = 6

y = 12 - 6

y = 6

(x, y) = (6, 6)

Answer:

6,6

Step-by-step explanation:

PLEASE HELP I HAVE TO TURN THIS IN IN 1 HOUR!

A round clock on a classroom wall has a diameter of 12 inches. What is the approximate area of the clock?
A. 38 square inches
B. 113 square inches
C. 226 square inches
D. 452 square inches

NO SPAMMING OR LINKS THEY WILL BE REPORTED!

Answers

A. 38
A=pi x d
Hope it helps

Which table represents a linear function?

Answers

Table one represents a linear function for the given data.

What is a linear function?

A linear function is a mathematical function that can be written in the form:

y = mx + b

where "m" and "b" are constants, and "x" and "y" are variables.

In this form, "m" represents the slope of the line, and "b" represents the y-intercept, the point where the line crosses the y-axis. The slope of the line is the rate of change of the function, representing how much the value of "y" changes for every unit change in "x".

The given table is,

x         y

1         5

2       10

3       15

4       20

5       25

The slope of the given data is,

m = ( 10 - 5 ) / ( 2 - 1 ) = 5

m = ( 15 - 10 ) / ( 3 - 2 ) = 5

m = ( 20 - 15 ) / ( 4 - 3 ) = 5

Here the slope is constant, so the function is linear.

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A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as shown. A triangle has side lengths 11 centimeters, 11 centimeters, and hypotenuse of StartRoot 242 EndRoot centimeters. [Not drawn to scale] Will the shelf fit snugly in a 90º corner?

Answers

Answer:

Yes, it will fit snugly in a 90º corner

Step-by-step explanation:

To do this, we simply need to check if the given sides of the shelf is right-angled.

So, we have:

[tex]Hypotenuse = \sqrt{242[/tex]

[tex]Side\ 1 = Side\ 2 = 11[/tex]

To check for right-angle triangle, we make use of:

[tex]Side\ 1^2 + Side\ 2^2 = Hypotenuse^2[/tex]

This gives:

[tex]11^2 + 11^2 = \sqrt{242}^2[/tex]

[tex]121 + 121 = \sqrt{242}^2[/tex]

[tex]242 = \sqrt{242}^2[/tex]

[tex]242 = 242[/tex]

This shows that the given sides of the shelf is a right-angled triangle.

Hence, it will fit the wall

Answer:

A

Step-by-step explanation:

Please help:///. Due today

Answers

Answer:

C: 108 cans

Step-by-step explanation:

just trust me bro

96 cans.

12*3= 36

12*4= 48

6*2= 12

36+48+12= 96

Question 3 of 10
Which of the following are exterior angles? Check all that apply.
6
DA. 26
B. 24
C. 23
OD. 22
OE. Z1
O F. 25

Answers

Answer:

I believe the answer to be 5 and 4

The exterior angles of the given triangle are angles 4 and 5

What is triangle?

A triangle is a polygon with three sides, angles and vertices.

Given that, a triangle, with angles, 1, 2, 3, 4, 5 we need to find the exterior angles,

An exterior angle of a polygon is the angle that lies outsides of the polygon,

Here, we can see, that only two angles 4 and 5 lies outsides of the triangles

Therefore, the exterior angles are 4 and 5

Hence, the exterior angles of the given triangle are angles 4 and 5

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Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points.

Answers

Answer:

Step-by-step explanation:

Answer:

130/100 H  and (3/10 + 1) H

Step-by-step explanation:

Hope this helps!

What is AB?

Triangle ACB is right angle triangle. The length of AC is 12 and BC is 35.

Answers

Answer:

the answer is 35

Step-by-step explanation:

because if BC is 35 that means AB will have to be that same because it's a triangle

The required value of AB is 33 units for the given right triangle.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Assume BC is the hypotenuse,

Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.

AB² + AC² = BC²

AB² + (12)² = (35)²

AB² + 144 = 1225

AB² = 1225 -144

AB² = 1081

AB = 32.8785

Rounded to two decimal places,

AB = 33 units

Therefore, the required value of AB is 33 units.

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Maya bought a board game that cost $24. She had to pay a 7 1/2% sales tax. How much change did she get from thirty dollars?

Answers

Answer: $4.20

Step-by-step explanation:

24(.075)=1.80

24+1.80=25.80

30-25.80=4.20

Need this answer ASAP the last missing square says “take the square root of both sides”

Answers

Answer:

add 5 to both sides, divide by 2, take square root, subtract 3/4

Step-by-step explanation:

I think you maybe do the reverse order of operations, which is SADMEP (subtract/add, then divide/multiply, then take care of exponents and square roots, then do that same order for whatever's in parenthesis.)

***WILL BE MARKED BRAINLIEST***​

Answers

Answer:

a

Step-by-step explanation:

What is the area of this

Answers

Answer:

area of trapezoid = 1/2×(a+b)×height

area of trapezoid =1/2×(15m+7m)×7m

area of trapezoid =1/2×22m×7

area of trapezoid =77m²

area of trapezoid =1/2×(a+b)×height

area of trapezoid =1/2×(9ft+12ft)×4ft

area of trapezoid =1/2×21ft×4ft

area of trapezoid =42ft²

can you help me with this due today

Answers

The answers for are a,b, and c are:
a=15
b=8
c=17

-6x-27=6
give me the answer please .

Answers

Answer:

-5.5

Step-by-step explanation:

-6x - 27 = 6

+ 27 +27

-6x = 33

÷-6 ÷-6

x = - 5.5

I am pretty sure the awnser is -5.5  because -6 Multiplied by -5.5 Is 33. 33 minus 27 is 6

Pls answer all of them or none of them! Tysm! ​

Answers

Answer:

18. $11

19. $1.40

20. 31

21. 4.05

22. 8.2

23. 31

24. 5.05

25. $14.99 per month

26. 3.7 oz

27. 16 miles ???

28. $6 each

Step-by-step explanation:

Hope that helps. That took a long time sorry. Also I am not a hundred percent sure on 27. If someone else has a different answer just check both

Rewrite the expression in the form 3^n

Answers

Answer:

n=2

Step-by-step explanation:

[tex]\frac{3.3.3.3.3.3}{3.3.3.3} = 3^{n}[/tex]

[tex]3^{2}[/tex]= [tex]3^{n}[/tex]

n=2

Answer:

[tex]3^1[/tex]

Step-by-step explanation:

[tex]\frac{3*3*3*3*3}{3*3*3*3} =3^1[/tex]

Which of these is an example of a continuous random variable?
O A. Number of breaths in a minute
O B. Number of employees at a company
O C. Scores in a bowling tournament
D. Length of a fish

Answers

Answer:

D Length of  F I S H

Step-by-step explanation:

I chose the bowling one and got it wrong, but you can have the right answer

Answer: length of a fish

Step-by-step explanation: quizzzz

3.1. Two friends. Ben and Mike, take part in a 15km fun
run. Ben took 1 h 23 min 12 sec and Mike took 1 h 39
min 4 sec. How long did Ben wait at the finish line for
Mike?​

Answers

Answer: 15.867 min

Step-by-step explanation:

Given

Ben took [tex]1\ h\ \text{and}\ 23\ min\ 12\ s[/tex] to complete 15 km

While Mike take [tex]1\ hr\ 39\ min\ 4\ s[/tex] to complete the same

converting time into miniutes

Ben time

[tex]\Rightarrow 60+23+\frac{12}{60}=83.2\ min[/tex]

Mike time

[tex]\Rightarrow 60+39+\frac{4}{60}=99.0667\ min[/tex]

So, mike waited for

[tex]\Rightarrow 99.067-83.2=15.867\ min[/tex]

Solve the inequality.
2x-5<9
The solution is:

Answers

Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

A sequence can be generated by using an=an−1+4, where a1=5 and n is a whole number greater than 1.

What are the first 5 terms in the sequence?


5, 20, 80, 320, 1280

4, 9, 14, 19, 24

4, 20, 100, 500, 2500

5, 9, 13, 17, 21

Answers

The first 5 terms of the arithmetic sequence are: 5, 9, 13, 17, 21.

How to find the first 5 terms?

Here we have an arithmetic sequence, such that the recursive formula is:

[tex]a_n = a_{n- 1} + 4[/tex]

Such that:

a₁ = 5.

Using that formula we can get the next 4 terms. For the second term we use n = 2, so we get:

[tex]a_2 = a_1 + 4 = 5 + 4 = 9[/tex]

For the third term we have:

[tex]a_3 = a_2 + 4 = 9 + 4 = 13[/tex]

For the fourth term we have:

[tex]a_4 = a_3 + 4 = 13 + 4 = 17[/tex]

For the fifth term we have:

[tex]a_5 = a_4 + 4 = 17 + 4 = 21[/tex]

Then the first 5 terms of the sequence are:

5, 9, 13, 17, 21.

If you want to learn more about sequences, you can read:

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Un terreno cuadrado tiene una superficie de 900 metros cuadrados. ¿Cuántos metros lineales de alambre se necesitan para cercarlo?

Answers

Respuesta:

120 metros

Explicación paso a paso:

Dado que:

Área del lote cuadrado = 900 m²

Área, A de cuadrado = s²

Donde, s = longitud del lado

s² = 900

Toma el cuadrado de ambos lados

s = raíz cuadrada (900)

s = 30

Se requiere metro lineal de alambre para cercar, el lote será el perímetro del lote cuadrado;

El perímetro del lote cuadrado = 4s

Por eso,

Perímetro del lote cuadrado = 4 * 30

Perímetro del lote cuadrado = 120 m

please help find measure of h.Will mark brainlyist to right answer.No link!

Answers

Answer:

∠ H = 59°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121° is an exterior angle of the triangle, then

6x - 1 + 5x + 12 = 121 , that is

11x + 11 = 121 ( subtract 11 from both sides )

11x = 110 ( divide both sides by 11 )

x = 10

Then

∠ H = 6x - 1 = 6(10) - 1 = 60 - 1 = 59°

What are the angles in degreees

Answers

Answer: A is 70 B is 45 and C is 50

Step-by-step explanation:

Which is greater? 40 mm or 3 m
and how do I show my work for that?

correct=brainliest

Answers

Answer:

The answer is 1 meter

Step-by-step explanation:

One meter is equal to 1000 mm

Joel says to Kevin, "Give me $100, and I shall become twice as rich as you."

Kevin replies, "Give me $10, and I shall become six times as rich as you."

How many dollars do Joel and Kevin have together?

Answers

DON'T OPEN IT, IT IS EVERYWHERE, IT IS AGAINST BRAINLYS TOS, AND IT IS A VIRUS also
The answer is $310

Find mZR
R
120°
140°
S
Need help with this question?

Answers

Answer:

[tex] m\angle R = 50 \degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex]m\angle R = \frac{1}{2} [360 \degree - (120 \degree + 140 \degree)] \\ \\ m\angle R = \frac{1}{2} [360 \degree -260 \degree] \\ \\ m\angle R = \frac{1}{2} \times 100 \degree \\ \\ m\angle R = 50 \degree \\ \\ [/tex]

HELP MEEEEEE i dont get it my teaher didnt teach me dis??

Answers

Answer:

6

Step-by-step explanation:

because  i had the same question and the departments where 6

Answer:

Hey! I can teach you this.

The range is the distance between the highest and lowest numbers.

In this case, the lowest number is 3, and the highest is 54, making the range 54 - 3, which is 51.

Because 3 is 51 away from 54. I hope this helps you!

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