maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she, in feet, from her starting location?

Answers

Answer 1

Answer:

132 feet

Step-by-step explanation:

22+60+70

Answer 2

The distance of the Maria from her starting location is 109.9 feet.

What is trigonometry?

Right angle triangles are the focus of the mathematical field of trigonometry. Calculations involving specific functions of angles are the focus of trigonometry.

In trigonometry, the following six functions are frequently used: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)

Let's call the distance Maria is from her starting location "x".

The 70 degree angle forms a right triangle with the distance Maria walked initially (22 feet) and the distance she is from her starting location (x). We can use the trigonometric function tangent to find x:

tan(70°) = x/40

Multiplying both sides by 40, we get:

x = 40 tan(70°)

Using a calculator, we find that tan(70°) is approximately 2.7475. Multiplying by 40, we get:

x = 109.9

So Maria is approximately 109.9 feet from her starting location.

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Related Questions

A first number plus twice a second number is 3. Twice the first number plus the second totals 21 . Find the numbers.

Answers

Answer:

x = 13

y = -5

Step-by-step explanation:

Let x = the first number

Let y = the second number

x + 2y = 3                            2x + y = 21

You have two unknowns, so you need to equations to solve.

Solve the first equation for x:

x + 2y = 3

x = -2y + 3  Substitute this in for x in the second equation.

2x + y = 21

2(-2y + 3) + y = 21  Distribute the 2

-4y + 6 +y = 21 combine the y's

-3y = 15 Divide both sides by -3

y = -5

Plug -5 back in for either equation

x + 2y = 3

x + 2(-5) = 3

x -10 =3

x = 13

Evaluate (11 + 4) ÷ 3 x √64 =

Answers

Answer:

40

Step-by-step explanation:

(11 + 4) / 3 x [tex]\sqrt{64[/tex]

(15)/3 x 8

5 x 8

40

6/15 plus 3/10 plus 3/5

Answers

Answer:

1.3

Step-by-step explanation:

As part of a communit service project at your house score you’re organizing a fundraiser at the neighborhood movie theater money raised will benefit of summer camp for children with special needs the missions charge is $10 per person 550 of which is used to pay the movie theaters rental fee the reminder is donated to the summer camp fund is the maximum capacity of the movie theater is 500 people what is the maximum amount that can be donated right in equation that shows how much money will be donated and then solve

Answers

The maximum amount to donate to the summer camp fund is $2,250.

2. The equation that shows the maximum amount to donate is y = 4.5x.

What is an equation?

An equation is a mathematical statement that two values are equal.

Using an equation, two mathematical expressions are stated to have equivalent values.

Equations are expressed using the equation symbol (=).

Data and Calculations:

The expected number of theater goers = 500 persons

Admission charge per person = $10

Movie Theater's rental fee = $5.50

Ticket fee = $4.50 ($10 - $5.50)

Let y be the maximum amount to donate to the summer camp fund

Let x be = 500

y = (10 - 5.50)x

y = 4.5x

The required equation for the maximum amount to donate is y = 4.5x

y = 4.5 x 500

y = 2,250

Thus, the maximum amount to donate to the summer camp fund is $2,250.

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Complete Question:

As part of a community service project at your house score, you are organizing a fund-raiser at the neighborhood movie theater. Money raised will benefit a summer camp for children with special needs. The admission charge is $10.00 per person, $5.50 of which is used to pay the movie theater’s rental fee. The remainder is donated to the summer camp fund.

What is the maximum amount that can be donated? Write an equation that shows how much money will be donated and then solve it.

Graphically, a point is a solution to a system of two inequalities if and only if the point
A. lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
B. lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
C. lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.

Answers

Answer: C. Lies in the shaded region of both the top and bottom inequalities.

A Galapagos tortise can walk 1/5 mile in an hour. How many hours would it take for the tortise to walk 1/6 mile?

Answers

Answer:

0.834 hours

Given that,

A Galapagos tortoise can walk 1/5 mile in an hour.

We need to find time would it take the tortoise to walk 1/6 mile.

1/5 mile = 1 hour

1 mile = 1/1/5 = 5 hours

For 1/6 mile = 1/6 *5 = 0.834 hours

It will take 0.834 hours to walk 1/6 mile.

A line passes through the point (8,3) and has a slope of -3/4. Write an equation in slope intercept form for this line.

Answers

Answer:

y = -3/4 + 9

Step-by-step explanation:

y=mx+b

3 = -3/4(8) + b

3 = -6 + b

9 = b

y = -3/4 + 9

1. The price of a TV is $295. The price of a
projector is 4 times as much as the price of a
TV. What is the price of the projector?

Answers

Answer:

The price of the projector is $1,180.

Step-by-step explanation:

295 × 4 = 1,180

A sofa is on sale for $833, which is 15% less than the regular price.
What is the regular price?

Answers

Answer: $957.95

Explanation: The sofa is 15 percent off the original price. 15 percent of 833 is $124.95 so you add the numbers.

Which graph does NOT represent a function?

Answers

Answer:

graph b

Step-by-step explanation:

it's b because it doesn't have any features like a function it's just a round shape that makes it a none function

pls help me with this i need help with this

Answers

The measure of the missing angle is 118 degrees

What are quadrilateral?

Quadrilateral are figures that have sides and angles

For two parallelograms to be equal, the ratio of the sides must be equal to a constant

Also, all the measure of the angles must be equal. From the given parallelogram, the measure of the angles must be equal that is;

x = 118 degrees

Hence the measure of the missing angle is 118 degrees

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Answer:

118degrees

Step-by-step explanation:

whay is the slope of a perpendicular to the line whose equation is 3x+y=-6

Answers

Answer:

1/3

Step-by-step explanation:

3x + y = -6

y = -3x - 6

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -3 is 1/3

[tex] \large{ \boxed{ \tt{Answer : - 3}}}[/tex]

Please see the attached picture for full solution!

-------- HappY LearninG <3 --------

x+y=8
2x-y=16
3x+z=18

Answers

Answer:

x+y-8=0

Step-by-step explanation:

It makes the most sense

The answer is (x, y, z)=(8, 0, -6)
You have to substitute the values
x=8-y
2x-y=16
3x+z=18
Then you simplify
2(8-y)-y=16
3(8-y)+z=18
Next you substitute the value of y
y=0
-3y+z=-6
After that you solve the equation
-3x0+z=-6
Then you substitute the value of y
z=-6
Simply
x=8-0
So a possible solution will be 8.
(X, y, z)=(8, 0, -6)
Simply
8+0=8
2x8-0=16
3x8+(-6)=18
The ordered triple is the solution
8=8
16=16
16=18
(x, y, z) = (8, 0, -6)

A bakery sold a total of 120 cupcakes in a day, and 66 of them were mocha flavored.
What percentage of cupcakes sold that day were mocha flavored?

Answers

Answer:

55%

Step-by-step explanation:

55% of the cupcakes were mocha flavored.

55% of the cupcakes where mocha flavored hope this helps u

there? 65
11. A shark chases 244 fish, and eats 3/4 of them - how many does it eat?​

Answers

168 is the answer of this question

Answer:

168 is the answer ...... .. .........., . . .. ... . . . .. ..

The graph of function f has two vertical asymptotes and a horizontal asymptote at y = 2. Which function could be function f?​

Answers

Answer:

It's f(x)=2x^2/x^2+2x-3.

Step-by-step explanation:

The function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have functions shown in the options:

After drawing the functions on the coordinate plane we will  see,

[tex]\rm f(x) = \dfrac{2x^{2}}{x^{2}+2x-3}[/tex]

x = -3 and x = 1

Horizontal asymptote: y = 2

Thus, the function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.

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Which inequality is the solution to 2(6−4x)>18−2x?

x -1
x > -3

Answers

Answer:

x < - 1

Step-by-step explanation:

[tex]2(6−4x)>18−2x[/tex]

Multiply the terms in the bracket

[tex]12 - 8x > 18 - 2x[/tex]

Move 12 to the other side of the inequality

[tex] - 8x > 18 - 12 - 2x \\ - 8x > 6 - 2x[/tex]

Move - 2x to the other side of the inequality

[tex] - 8x + 2x > 6 \\ - 6x > 6[/tex]

Divide both sides by - 6

[tex] \frac{ - 6x}{ - 6} > - \frac{6}{6} \\ x > - 1[/tex]

Reverse the sign

We have the final answer as

x < - 1

Hope this helps you

Answer:

What the other dude said

Step-by-step explanation:

bruh

How many cm in 12.7 inch

Answers

The answer would be 32.258 centimetres
The answe is what he told u Alr pay attention

PLEASE HELP THANK YOU SO MUCH!

Answers

Answer:

Triangle FHL

Step-by-step explanation:

Paloma has a flower stand at a farmer’s market. On Tuesday, she sold 8 marigold flats and 10 daisy flats.
An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 13 of the price.
Evaluate a numerical expression to find out how much money Paloma made. Enter your answer in the box.

Answers

The total money Paloma made = $117.25

In this question,

The price of Marigold(M) is $5.75.

The price of Daisy(D) is $6.25.

The price of Roses(R) is $2.50.

The price of Lilies(L) is $3.75

She sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 1/3 of the price.

Let s be the total money Paloma made

so we get an expression,

S = 8M + 10D + 5(R/2) + 2(L/3)

Now substitute the respective value

S = 8(5.75) + 10(6.25) + 5(2.5/2) + 2(3.75/3)

S = 46 + 62.5 + 6.25 + 2.5

S = $117.25

Therefore,  the total money Paloma made = $117.25

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Brandon buys a radio for $48.17 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary, round to the nearest cent

Answers

Answer:

49.0809

Step-by-step explanation:

Round it up to 49.10

Denzel identified (3,2) as a point on til
y-2=2/3(x+3). What is the error that Denzel
made?
Type Here.

Answers

Answer:

im srry

Step-by-step explanation:

Need this ASAP thanks

Answers

Answer:

A. Substitution

Step-by-step explanation:

You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are

Each of the equal sides of an isosceles triangle is 5 times the third side. The perimeter of the triangle is 121 inches. Find the sides of the triangle.

Answers

Answer: The small side is 11, and the other two are 55, 55,

Step-by-step explanation:

So the perimeter adds up to 121 inches.

we know that two of the sides are 5x the 3rd side while being congruent.

11 times 5=55. 55 times 2=110. 110+11=121

Answer:

The third side is 11 inches

the 2 equal sides are 55 inches each side.

Step-by-step explanation:

X + 2(5x) = 121

x + 10x = 121

11x = 121

x = 121/11

x = 11

A computer has the shape of a rectangular solid. Find the volume of the computer, with
dimensions of 5 inches by 5 inches by 5.1 inches.

Answers

Answer:

V = 127.5in^3

Step-by-step explanation:

The volume of a rectangular prism is:

Volume = length x width x height

Therefore, in this equation it would look like this:

Volume = (5) x (5) x (5.1)

Volume = 127.5in^3

The volume of the computer is 127.5in^3.

I hope this helps!!

- Kay :)

39-[20/4+2(3+6]
And how do i do it?

Answers

Answer: 16 :)))))))))))))))))))))







Compute the sum of all nine 2-digit numbers with a ones digit of 6.

Answers

Sum of all nine number  = 438

Step-by-step explanation:

Given :

2 Digit Number whose ones place is 6.

Solution :

Nine numbers are - 16,26,36,46,56,66,76,86,96

Sum of all nine number  = 16+26+36+46+56+76+86+96 = 438

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At what point did they give up and decide that the numbers to the right of the decimals would never repeat and never stop?

Answers

This is correct, because number go to infinity and never will stop.

Solve for x. Round your answer to the nearest tenth.

Answers

Answer:

The Pythagorean theorem should help you out. Since you already know two sides of the triangle, you can do a^2 + b^2 = c^2

So in this problem, 16.5^2 + 9.2^2 =
272.25 + 84.64 = 356.89

Pasty you would take the square root of 356.89 and you would get x = 18.89 or 18.9 rounded to the nearest tenth

You can check your work by the Pythagorean theorem once more. 16.5^2 + 9.2^2 = 18.9^2 and you should get the same approximate answer (it will be a little bigger because you rounded)

The question is in the image.

Answers

Answer:

a) aₙ = 6(n - 1), a₂₄ = 138b) aₙ = 2n + 1, a₂₄ = 49

===============================

Sequence a)

Ignoring the hexagon in the middle, we'll count the number of squares:

0, 6, 12, ...

This is an AP with the first term of a₁ = 0 and common difference of d = 6.

Explicit formula for an AP is:

aₙ = a₁ + (n - 1)d

Substitute the first term a₁ and common difference d into equation:

aₙ = 0 + (n - 1)*6aₙ = 6(n - 1)

The 24th term is:

a₂₄ = 6(24 - 1) = 6(23) = 138

Sequence b)

Count the number of circles:

3, 5, 7, ...

This is an AP with the first term of a₁ = 3 and common difference of d = 2.

The explicit formula for this AP is:

aₙ = 3 + (n - 1)*2aₙ = 3 + 2n - 2aₙ = 2n + 1

The 24th term is:

a₂₄ = 2*24 + 1 = 49
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