Sheila is flying a kite with a string that makes a 59-degree angle with
the sand. If the height of the kite above the ground is 97 feet, how
long is the string? (Please use the exact ratio to calculate the missing
side and round your answer to the nearest hundredth.)

Answers

Answer 1

Answer:

113.16 feet

Step-by-step explanation:

Representing the given details appropriately with a right angle triangle. Let the length of the string for the kite be represented by x. Applying required trigonometric function, we have:

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Sin [tex]59^{o}[/tex] = [tex]\frac{97}{x}[/tex]

x = [tex]\frac{97}{Sin59^{o} }[/tex]

  = [tex]\frac{97}{0.8572}[/tex]

  = 113.1591

x = 113.16 feet

Thus, the string for the kite is 113.16 feet long.


Related Questions

It would be appreciated if you could may help me with this

Answers

Answer:

Answer for the first pic is 122.24  

Answer for the second pic is A

Step-by-step explanation:

the rectangle is 72 in

the semi-circle is 50.24

Answer for the first pic: 122.24 in  

Answer for the second pic: A

-2(6) + 3(5 – 4​· ​2)

Answers

Answer:

-21

Step-by-step explanation:

-21. First multiply -2 and 6 to get -12. Then use order of operations to simplify the second parenthesis. 4•2 is 8. 5-8 is -3. 3(-3) = -9. Combine the two to get -21. Hope that helps!

6th grade math plz help me
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.

Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.




The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.

Answers

Answer:

The mode, which is 7, is not a typical distance for the data. The median, which is 3.5, is not a typical distance for the data. The mean, which is 4, is a typical distance for the data. So, Grace’s reasoning is not correct.

A company has recently been hiring new employees. Today the company has 35% more employees than it did a year ago. If there are currently
43,200 employees, how many employees did the company have a year ago?

Answers

Answer:

28,080

Step-by-step explanation:

Turn 35% into a decimal (.35)Multiply .35 by the amount of current employees (.35 * 43200 = 15120)Subtract the current amount of employees (43200) by 15120 (the amount of employees that joined) which should be 28080. This is your answer.

Please please PLEASE Help me!7th grade math, I will give brainliest to the correct answer!

Answers

CCcCcCcCcCcCc Cc c C c c c. C c c c

Answer:

c

Step-by-step explanation:

1. Use the inequality 12≥6(12x+2).
a. Apply the Distributive Property to the right side.

b. Solve the inequality.

Answers

The answer would be 72x + 12 but I’m not sure but that’s what I got
12_>6(12x+2)
12_>72x+12
-12 -12
0_> 72x
/72 /72
Zero divided by anything is zero.
0_>x

Proof that 1^√2 = 1 is true

Answers

Answer:

1^sqrt(2) = 1 is always true

Step-by-step explanation:

Step-by-step explanation:

it is always 1 because the teacher said.....lol

What the rang of the following function is

Answers

Answer:

b

Step-by-step explanation:

Answer:

its 5

Step-by-step explanation:

In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.​

Answers

Answer:

a. 3g + g = 53

b. 40 boys and 13 girls

Step-by-step Explanation:

(3g = number of boys)

(g = number of girls)

3g + g =53

4g = 53

g = 13.2

53 - 13.2 = 39.8 (boys)

we round to the nearest tenth on both

girls 13.2---13

boys 39.8---40

The formula A-lw is used to calculate the area A of a rectangular surface using the length and the width
(w) of the surface. Which formula could be used to find w in terms of A and I?

Answers

The area of a rectangle is the product of the two sides. One side is the height of the can, the other side is the perimeter of the circle, since the label wraps once around the can. So the area of the rectangle is (2 pi r)* h.

How many liters of 30% salt solution must be added to 6 L of an 80% salt solution to obtain a 50% salt solution

Answers

Answer:

9 Liters

Step-by-step explanation:

Let us represent:

The number of liters of the 30% salt solution = x

Number of liters for the 80% solution = 6 Liters

Number of liters for the 50% solution = x + 6 Liters

Hence:

x × 30% + 6 × 80% = (x + 6)50%

0.3x + 4.8 = 0.5x + 3

Collect like terms

4.8 - 3 = 0.5x - 0.3x

1.8 = 0.2x

x = 1.8/0.2

x = 9 Liters

Therefore, the number of liters for the 30% Salt solution = 9 Liters

para que sirve el álgebra​

Answers

Answer:

si mamacita

Step-by-step explanation:

El álgebra es un tipo de matemática. Se trata de ecuaciones y resolución de incógnitas. El álgebra se usa para calcular números basados ​​en una ecuación. ¡Espero que esto ayude!

Cuánto costará cercar una finca cuadrada de 14 metros de lado a razón de $150 el metro lineal de alambrada

Answers

Answer:

$ 2100

Step-by-step explanation:

De la pregunta anterior:

1 metro de cerca de alambre = $ 150

14 metros = x

Cruz multiplicar

x = 14 × $ 150

x = $ 2100

Por lo tanto, costaría $ 2100 por una cerca de 14 metros

can someone help asap ill give brainiest plus 50 points if you answer right.

Examine the following graph of a nonlinear function.
Graph of a nonlinear function passing through (0, negative 3), (1, negative 2), (2, 0), & (3, 4).



What is the average rate of change over the interval 1≤x≤3?

Enter your answer as a number, like this: 42

Answers

Answer:

the answer is 3

Step-by-step explanation:

just guessed and got it right since it wasn't 1 or 2 because i tried searching up the answer and they were around 2 but rlly close to 3

The rate of change of y with respect to x is 3.

We have a graph of a Non - linear function.

We have to determine the average rate of change over the interval

1 ≤ x ≤ 3.

What do you understand by the Average rate of change of two quantities plotted along X and Y axis respectively?

It indicates the rate of change of y with respect to x. Mathematically -

[tex]$r=\frac{dy}{dx}[/tex]

or

[tex]$r =\frac{y(2)-y(1)}{x(2) -x(1)}[/tex]

According to the question -

The coordinate points plotted area s follows -

X    Y

1    -2

2    0

3    4

Now, the average rate of change →

[tex]$r =\frac{y(2)-y(1)}{x(2) -x(1)}[/tex]

[tex]$r =\frac{4-(-2)}{3-1}[/tex]

r = 3

Hence, the rate of change of y with respect to x is 3.

To solve more questions on Average rate, visit the link below-

https://brainly.com/question/21635353

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Yep here we go again:

In the diagram below, the red angle angle YAK and the blue angle angle OAT are both right angles. If angle YAO=23 then what is the measure of angle KAT

If you don't know the answer or not sure, please don't answer it!
Whoever answers it correctly gets brainliest!!

Answers

Answer:

23 degrees

Step-by-step explanation:

90+23-90=23

9514 1404 393

Answer:

  23°

Step-by-step explanation:

Both angles YAO and KAT are complementary to angle OAK, so are congruent.

  ∠YAO = ∠KAT = 23°

write a quadratic equation with the roots 1/2 and -5

Answers

x = 1/2    or    x = -5

2x - 1 = 0     or     x + 5 = 0

(2x-1)(x+5) = 0

2x² + 10x - x - 5 = 0

2x² + 9x - 5 = 0

Hope it helps!

Answer:

2[tex]x^{2}[/tex] + 9x - 5 = 0

Step-by-step explanation:

// Use the Vijet's theorem,

// note that the kofficient before [tex]x^{2}[/tex] = 1

Sum of the roots is:

1/2 + (-5) = - 4,5

Product of the roots is:

0,5 * (-5) = - 2,5

Formation of quadratic equation:  

[tex]x^{2}[/tex] - (sum of the roots) x + product of the roots  =  0

[tex]x^{2}[/tex] - (-4,5) * x + (-2,5) = 0

[tex]x^{2}[/tex] + 4,5x -2,5 = 0

// multiply both sides by 2

2[tex]x^{2}[/tex] + 9x - 5 = 0

Make me the brainliest ;)

if an angle is three times of its supplement, find the angle​

Answers

Answer:

135° angle

Let the angle be x it's supplement = (180-x)

x = 3 (180-x)

⇒x=540−3x

⇒4x=540⇒x=135°

Step-by-step explanation:

Hope it is helpful....

What is a numerical expression? Give an example.

Answers

Answer:

Step-by-step explanation:

The term numerical expression is made up of two words, numerical meaning numbers, and expression meaning phrase. ... A numerical expression in mathematics can be a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.

Please help me I will mark you brainliest !!

Answers

Answer:

it would be 5x+2y=10 look at pic for math

I need the answer, ASAP.

Answers

Answer:

See below.

Step-by-step explanation:

It is similar because the order of operations is the same for fractions and for whole numbers.

It is different because when you add or subtract fractions, you need a common denominator. When you deal with whole numbers, there are no denominators.

if the perimeter of Triangle XYZ is 56 cm, what is the perimeter of Triangle ABC?

Answers

Answer:

28 cm

Step-by-step explanation:

Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.

So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

[tex] P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ) [/tex]

[tex] P(\triangle ABC) = \frac{1}{2} \times 56 [/tex]

[tex] P(\triangle ABC) = 28\: cm [/tex]

ax-by/c =d solve for x

Answers

Answer: x = (cd + by) / a

Working out:

(ax - by) / c = d

1)Multiply by c on both sides to get:
ax - by = cd

2) Add by on both sides to get:
ax = cd + by

3) divide by a on both sides to get:
x = (cd + by) / a

A object falls at 16t^2 feet in t seconds you drop a rock from a bridge that is 906 what is the hight in feet after the rock is droped

Answers

Answer:

824 feet

Step-by-step explanation:

Given

[tex]h(t) = 16t^2[/tex]

[tex]H = 906[/tex] -- Initial Height

Required

Calculate the height after 2 seconds --- missing from the question

First, we calculate the distance moved in 2 seconds

[tex]h(t) = 16t^2[/tex]

[tex]h(2) = 16*2^2[/tex]

[tex]h(2) = 16*4[/tex]

[tex]h(2) = 64[/tex]

This means that the object covered 64feet

The object current height is then calculated as:

[tex]Height = H - h(t)[/tex]

t = 2. So, the equation becomes

[tex]Height = H - h(2)[/tex]

Substitute values for H and h(2)

[tex]Height = 906- 64[/tex]

[tex]Height = 824[/tex]

The simple interest earned for certain amount for 3 years at 5% is AED. 450. The amount invested is ________.

I need the steps also

Answers

Answer:

AED 3000

Step-by-step explanation:

Let the invested amount is x

Interest rate is r = 5% simple = 0.05 timesTime is t =  3 yearsInterest amount I = AED. 450

Using the interest formula and solving for x:

P*r*t = Ix*0.05*3 = 4500.15x = 450x = 450/0.15x = 3000

The amount invested is AED 3000

what is the radius of a circle with the ratio 1:4 when the smaller one is 12cm​

Answers

Answer:

48

Step-by-step explanation:

1 to 4 = 12 to ?

multiply the small one by 4 to get the bigger one

Step-by-step explanation:

1:4

12:x

1=4

12=x

cross multiply

x=4×12

x=48

I need help please!!

Answers

Answer:

Step-by-step explanation:

i think 90

The answer is 90 I think

Drag and drop the correct value next to its equivalent expression. Numbers may be used once or not at all.

Answers

Answer:

[tex]5(32) = 5(30 + 2)[/tex]

Step-by-step explanation:

Given (omitted from the question)

Expression: 5(32) = ( + )

Numbers: 12, 30, 500, 10, 2, 5

Required

Write an equivalent expression

Express 32 as 30 + 2.

So, we have:

[tex]5(32) = 5(30 + 2)[/tex]

Answer:

I think you meant to add a picture?-

Step-by-step explanation:

I just noticed how late I am lol

It’s sad when I help people because they don’t do the same thing to so please please please... answer me once :((((((((((((((((((((((((((((((((((((((((((((((

Answers

I believe he has four model trains
Hope this helps

Step-by-step explanation:

Equation = 4m=16

Answer= 4m=16

m=16/4 = 4

So Tyrone has 4 model planes.

Don't know if its correct

¿Por qué creen que la cantidad de almidones es
la misma si el cereal se come solo o con leche? ayuda :(​

Answers

Answer:

mira aveces el cereal se come con leche y aveces se come con yogurt a quienes lo hacen así claro el cereal tiene almidones

1- The area of a parallelogram is 507 cm2. Its height is six times its base. Find the height and base.

Answers

Answer:

507=b x (3 x b)

507=b x 3b

507=3b^2

b^2=507/3

b^2=169

b=13

h=3 x b

h=3 x 13

h=39

Step-by-step explanation:

The height and base of the parallelogram is b = 13 cm and h = 78 cm

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A = b x h

where the base of the parallelogram is b

The height of the parallelogram is h

So , 507 = b x h

And , height is three times its base

So , h = ( b x 3 )

On simplifying , we get

507 = b ( b x 3 )

507 = 3b²

Divide by 3 on both sides , we get

b² = 169

Taking square roots on both sides , we get

b = 13 cm

So , the height of the parallelogram is h = 78 cm

Hence , the parallelogram is solved

To learn more about parallelogram click :

https://brainly.com/question/23488153

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