6. The swing set on the playgrounds is getting wobbly, and you have been asked to put outrigger boards to help stabilize it. If the crossbar of the swing is 10 feet off of the ground, the outrigger to be attached at a 40 degree angle, and you want to bury the outrigger boards 3 feet onto the ground, how long would the boards have to be? (Hint: the outrigger is the hypotenuse of a right triangle)

Answers

Answer 1

Answer:

[tex]X=18.6ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of swing's crossbar [tex]H=10ft[/tex]

Angle [tex]\theta=40 \textdegree[/tex]

Depth of outrigger [tex]d_=3ft[/tex]

Generally the equation for slant height l is mathematically given by

[tex]l=\frac{opposite}{sin\theta}[/tex]

Therefore

[tex]l=\frac{H}{sin\theta}[/tex]

[tex]l=\frac{10}{sin 40\textdegree}[/tex]

[tex]l=15.6ft[/tex]

Since the Depth of outrigger

[tex]d_=3ft[/tex]

Therefore Length of the board X

[tex]X=l+d[/tex]

[tex]X=15.6+3[/tex]

[tex]X=18.6ft[/tex]


Related Questions

If (-10,8) is a point on the terminal side f a angle 0 in standard position what is the value of tan0?

Answers

Answer:

The value of the tangent is [tex]-\frac{4}{5}[/tex].

Step-by-step explanation:

Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)

Where:

[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.

[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.

If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]

[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]

[tex]\tan \theta = -\frac{4}{5}[/tex]

Which of the following relations represents a function?
a {(2, 3), (1,3), (3, 3) }
c. {(1, 3), (2, 3), (1,4)}
b. {(1,3), (2, 3), (2, 4) }
d. {(2, 2), (2, 3), (2, 1) }
Please select the best answer from the choices provided
Α
B
С
D

Answers

A is a function because the x does not repeat

Help ASAP plsplsplsplsplsplspls

Answers

Answer:

Hello! answer: x = 132

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees 180 - 48 = 132 therefore x = 132 HOPE THAT HELPS!

what is 1/2 times 2
what is 3/2 times 2
what is 2/7 times 7
what is 3/4 times 4
what is 7/8 times 8
what is 5/6 times 6

Answers

1
3
2
3
7
5
hope that helps
1/2x2 =1

3/2x2=3

2/7x7=2

3/4x4=3

7/8x8=7

5/6x6=5

Brainliest goes to whoever answers correctly try to show work ONLY if you can

Answers

Matt’s gym charges more to reserve the basketball court.

To determine Matt’s cost of reserving the court, look for the difference between the mostly cost each time the court is reserved another time.

The cost of reserving the court one time is: $52.75.

The cost of reserving the court two times is: $55.50.

$55.50 - $52.75 = $2.75, therefore the cost of reserving the court is $2.75.



However it’s important to check your work to make sure that the cost increases by a constant amount. Check the difference between each time the court is reserved another time.

The cost of reserving the court two times is: $55.50.

The cost of reserving the court three times is: $58.25.

$58.25 - $55.50 = $2.75. The cost of reserving the court for a third time is an additional $2.75.

Finally, The cost of reserving the court three times is: $58.25.

The cost of reserving the count a forth time is $61.

$61 - $58.25 = $2.75, therefore the incremental cost of reserving the cost a forth time is $2.75.

Based on the information, Matt’s gym charges $2.75 every time he wants to reserve a court, whereas Tyrell’s gym only charges him $2.00, therefore Matt’s gym charges more.

PLEASE HELP ILL GOVE BRAINLYIST Solve 8y = 72.
The solution is y =

Answers

Answer:

Y=9

Step-by-step explanation:

8y/8

72/8

=9

Answer:

y=9 because you would have divide both sides which is 8y÷8=72÷8


Yesenia has a 13 ft ladder that she placed against a
wall. How far up the wall will the ladder reach when the
base of the ladder is 5 ft from the wall?

Answers

Answer:

12 ft

Step-by-step explanation:

Using formula (pythagorean theorem)

a² + b² = c²

Where :

13 = c

and 5 = a

5² + b² = 13²

25 + b² = 169

169 - 25 = b²

144 = b²

Sq root b = 12

It will reach up 12 ft.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the value of 8 + 2^3 x 5?

Answers

Answer:

I think the answer is 48

Step-by-step explanation:

2^3 = 8

8 x 5 = 40

40 + 8 = 48

I need help with this. Here’s the picture.

Answers

Answer:28% of classmates chose chocolate over vanilla28%

Step-by-step explanation: hope this helps

solve for v.
v/6=19.2

Answers

Answer:

115.2

Step-by-step explanation:

I used Photo math and searched it hope this helps

What is the value of x in the equation One-third x minus two-thirds = negative 18?

Answers

Answer:

-52

Step-by-step explanation:

PLZZZ HELP RN ASAP TYSM

Answers

It would probably be 56.55

Help please!!!
How do i explain this! ????????????????!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer should be 5 logx + 2 log y

4. What is the area of the figure at the right?

Answers

Answer: 336

Step-by-step explanation:

formula for area of a triangle = bh / 2

12 * 10 = 120 / 2 = 60

12 * 18 = 216 / 2 = 108

60 + 60 + 108 + 108 = 336

WILL MARK BRAINLIEST HELP ASAP ASAP

Answers

Answer:

not possible

Step-by-step explanation:

How many lines of symmetry does this parallelogram have

Answers

Answer:

that would be 0 lines for symmetry

Answer:

B

Step-by-step explanation:

A parallelogram has no line of symmetry but has rotational symmetry of order 2

You flip a fair coin 24 times. About how many times would you expect heads to appear? If a fair coin is flipped 24 times then heads should appear about times.

Answers

Answer:

12   50/50 chance

Step-by-step explanation:

On the line that passes through point C, mark a point D that is distinct from point C. Use the slope formula along with coordinates of points to find the slopes of and . Show your work.

Answers

Answer:

PLATO

Step-by-step explanation:

Answer:

The coordinates of point D will vary based on the point location, but the resulting slope of the line through points C and D will be the same.

A  =  (-3, 3), B = (-1,-1)

Slope of AB  =  (YB−YA) / ( XB –XA) =−1−3 / −1−(−3)= − 4 / 2= −2

D =  (-1,6), C = (1,2)

Slope of DC  =  (YC−YD) / (XC−XD)= 2 – 6 / 1−(−1)=−4 / 2=−2

Step-by-step explanation:

MAY SOMEONE HELP PLZ!

Answers

Answer:

First pic

[tex]ratio = \frac{62.8}{2 0} \\ = 3.14[/tex]

Second pic

[tex] < c + 2x + (3x + 10) = 180 \\ < c = 180 - 3x - 10 - 2x \\ < c = 170 - 5x[/tex]

Answer:

Step-by-step explanation:

#1

Circumference equation:

C = πd

Circumference to diameter ratio is:

C/d = π = 3.14Same result comes from the tableCorrect choice is B#2

Sum of angles of a triangle is 180°

m∠A + m∠B + m∠C = 180°

A and C are equal angles as opposite sides are congruent.

2(3x + 10) + 2x = 1806x + 20 + 2x = 1808x = 160x = 20m∠C = 3*20 + 10 = 70°

Austin thinks that the inequality 6x - 4y is greater than or equal to 10 should be shaded above the boundary
line because it uses the greater than or equal to inequality
symbol. Is he correct? Explain.

Answers

Answer:

no, you shade below the line. you'd have to turn the inequality into slop intercept form, meaning y[tex]\leq[/tex]3/2x-5/2.

Select the correct answer.
ta
What is
OA. V3
O B.V3
O C.
V3
3
OD. -V3

Answers

...do you need to upload a picture? If you do, I can try to help :)

please help me :(I will give brainiest
no links I will report

Answers

Answer:

it's the second option

Step-by-step explanation:

hey, you just put value of g(x) instead of x while finding f(g(x))

What is 80.4637 to the nearest whole number?

Answers

Answer:80.46  

Step-by-step explanation:

hoped i helped

please help me with this question it is evaluating
NO LINKS I will give brainiest

Answers

The answer is D: 2x 15/4 y 17/4

A rectangular prism has a length of 84 inches, a width of 5 inches, and a height of 2 inches. Oscar has a storage container for the
prism that has a volume of 100 cubic inches.
What is the difference in volume between the prism and the storage container?
Enter your answer in the box as a simplified mixed number or a decimal.
in

Answers

The rectangular prism’s volume would need to be calculated.

Volume = length * width * height

Volume = 84 * 5 * 2

Volume = 840

The difference needs to be subtracted

840 - 100 = 740

740

What is 8 to the power of 4?

Answers

Answer:

4096

Step-by-step explanation:

(8 • 8)(8 • 8)
= 64 • 64
=4096

I would like a little help please.

Gru has 20 minions. The minion population increases by 20 each week. El Macho has 80 evil minions. His population decreases by 10 minions each week. When will they have the same number of minions? How many minions??

x:

y:

solution:

system:


meaning of solution:

Answers

in 2 weeks and it will be 60 minions


How do I find the answer

Answers

It’s a right angle so it’s 90 degrees :)

Answer:

x = 95 degrees

Step-by-step explanation:

First find the missing angle next to 142 (we will call it y)

y +142 = 180

subtract 142 from both sides

y = 38 degrees

then we know a triangle must have 180 degrees

so

47+38+x = 180

subtract 47 and 38 from 180

x = 95

hope this helps and makes sense :)

Rhian sat a maths test and an english test

Answers

Answer:

i don't understand

Step-by-step explanation:

please give more info so I can answer you question

What is the volume of a box with a base of 672 square inches and a height of 25 inches? A. 1,680 in33

Answers

Answer:

16,800 in^3

Step-by-step explanation:

Volume of a box = length x width x height

or base area x height

672 x 25 = 16,800 in^3

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