The length of the shadow of a tree is 24 feet, the tan P = .7.
Write an equation involving a trigonometric ratio that can be used to find the height x of the tree. Explain why your equation is correct.

Find the height x of the tree by using your equation.

Answers

Answer 1

Answer: You do not included the picture. I can guess that p is the angle formed by the shadow and the hypotenuse of the right triangle.

The the trigonometric ratio is tan(p) = x/s

Where x is the height of the tree and s is the length of the shadow.

Then, x =s*tan(p) = 24 feet * 0.7 = 16.8 feet

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A taxicab starts at (1, -2) on the grid. It goes 4 blocks south and 3 blocks east to pick up a passenger. Then it goes 6 blocks west and 5 blocks north and drops off the passenger. How many blocks is the taxicab from its starting position
Find an equivalent function to f(x) = 5(3)3x.

For what values of the variables must ABCD be a parallelogram?

Answers

okfirst things first. In all parallelograms, you now that opposite anglesare numerically equal to each other and that the sum off all fourangles must add up to 360.

Therefore based off the picture, angles B and D are equal to each other, and A and C are equal to each other.

(2x-10) = (y+20) B = D
y=2x-30

Now B = 2x -10 and D = 2x-30+20 = 2x-10

Now A = C

Since A = 2x+ 10, we can assume C = 2x + 10

Now we need to find the value of x

so our angle A, B, C, and D add up to 360 so the "master equation" is:

(2x - 10) + (2x - 30 + 20) + (2x + 10) + (2x + 10) = 360
2(2x -10) + 2(2x + 10) = 360
4x - 20 + 4x + 20 = 360
8x = 360
x = 45

Now that we know what x is, we can go back to the angles B and D

remember B = 2x - 10 and D = y + 20

and earlier we stated that y=2x-30
therefore y = 2(45) - 30
Y = 60

Now if you wanted to double check, all you have to do is plug in the xand y values into the equations and add up all the angles together andthey should add up to 360.

I know I kinda went into too many details, but I'd rather explain itinto too much detail rather than too few details and shortcuts that youwouldn't be able to follow and understand.

I hope this was helpful =D

Final answer:

ABCD is a parallelogram if either both pairs of opposite sides are parallel, both pairs of opposite sides are equal, or one pair of opposite sides is both parallel and equal.

Explanation:

In mathematics, a quadrilateral ABCD is considered a parallelogram if it meets one of these three conditions:

Both pairs of opposite sides are parallel (AB || DC and AD || BC).
Both pairs of opposite sides are equal (AB = DC and AD = BC).
One pair of opposite sides is both parallel and equal (AB = DC and AB || DC).

So, the values of the variables you have in your problem have to satisfy at least one of these conditions to make ABCD a parallelogram.

Learn more about Parallelogram here:

brainly.com/question/31342904

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Dylan has a roll of wrapping paper that is5 meters long. How many centimeters of wrapping paper does he have.

Answers

500 centimeters I think *sweats nervously*

Solve -2 x + 6 = -20.

Answers

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-2x + 6 = -20

Step 2: Solve for x

Subtract 6 on both sides: -2x = -26
Divide -2 on both sides: x = 13

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -2(13) + 6 = -20
Multiply: -26 + 6 = -20
Add: -20 = -20

Here we see that -20 does indeed equal -20.

∴ x = 13 is the solution to the equation.

Answer:

x = 13

Step-by-step explanation:

Subtract 6 from both sides: -2x = -26

divide both side by -2 to isolate x: x = 13

What multiplies to get -210 and adds up to 11

Answers

210÷10=21. ....10 and 21
make the 10 neg n 21 pos

-10x21=-10
-10+21=11

Find the length of the unknown side. Round your answer to the nearest tenth.O 16.5
O 17.5
O 18.5
O 22.0

Answers

17.5

Explanation:

So if we use the formula a^2+b^2=c^2

We would fill it in as 4^2+b^2=18^2
Then solve

16+b^2= 324

Then subtract 16 from both sides

B^2 = 308

Then you find the square root of 308

17.5

A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?

Answers

This question is incomplete

Complete Question

a) Positive, + 750

b) Positive , - 750

c) Negative , +750

d) Negative , - 750

Answer:

d) Negative , - 750

Step-by-step explanation:

We are told in the question that the contestant has 9000 points

Then he loses 750 points.

This means that the 750 points would be deducted from the 9000 points he the contestant has already.

The word lose is a negative and it carries the Subtraction (-) sign,

hence, lose suggests a negative integer which is given as:

-750

Option d is the correct option

Final answer:

The word "lose" suggests a negative integer. The integer that represents a loss of 750 points is -750.

Explanation:

The word "lose" suggests a negativeinteger because it implies a decrease or removal of something. In this case, the word "lose" is used to describe a decrease of 750 points. Since the contestant's score was 9,000 points and they lost 750 points, the integer that represents the loss would be -750.