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1 year ago

HELP PLEASE

Mathematics

1 answer:

DENIUS [597]1 year ago

7 0

Answer:

HELP PLEASE

In this unit, you've learned about trigonometry and its applications to right triangles and real-world scenarios that can be modeled

with right triangles. In such scenarios, sometimes we refer to an angle of elevation or depression. Both types of angles have one side

that is horizontal. From this side, the angle may open up (angle of elevation) or open down (angle of depression). These images show

the difference between the two.

angle of depression

angle of elevation

In this task, you'll apply what you've learned to answer questions about a skateboard ramp that you and your friends are building for

your community skate park. The ramp will lead up to a platform. You'll be using a piece of wood that's 3.5 meters long for the ramp,

and the ramp's angle of elevation will be 28°. Use this figure as a model to answer the questions that follow.

platform

ramp

28°

Part A

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De moirve's (√3-i ÷ √3+i)^6 = 1

bulgar [2K]

(√3 - i ) / (√3 + i ) × (√3 - i ) / (√3 - i ) = (√3 - i )² / ((√3)² - i ²)

… = ((√3)² - 2√3 i + i ²) / (3 - i ²)

… = (3 - 2√3 i - 1) / (3 - (-1))

… = (2 - 2√3 i ) / 4

… = 1/2 - √3/2 i

… = √((1/2)² + (-√3/2)²) exp(i arctan((-√3/2)/(1/2))

… = exp(i arctan(-√3))

… = exp(-i arctan(√3))

… = exp(-iπ/3)

By DeMoivre's theorem,

[(√3 - i ) / (√3 + i )]⁶ = exp(-6iπ/3) = exp(-2iπ) = 1

7 0

2 years ago

Round the nearest percentage 20 students to 30 students

IRINA_888 [86]

Answer:10%

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the highest common factor using prime factorization for 27y and 54y³

amid [387]

Given:

27y and 54y³

To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

$27y=3\cdot 3\cdot 3\cdot y$

$54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y$

Now, the common prime factors are 3, 3, 3 and y. So,

$HCF=3\cdot 3\cdot 3\cdot y$

$HCF=27y$

Therefore, the highest common factor of the given terms is 27y.

5 0

2 years ago

When simplified, what is the exponential form of the following expression 3⁴.35.36

matrenka [14]

Answer:

$3^4*3^5*3^6 = 3^{15}$

Step-by-step explanation:

Given

$3^4*3^5*3^6$

Required

Simplify

To do this, we apply laws of indices:

$a^m * a^n = a^{m+n}$

So:

$3^4*3^5*3^6 = 3^{4+5+6}$

Add the exponents

$3^4*3^5*3^6 = 3^{15}$

6 0

2 years ago

Please ignore my work. Can you please solve and show all work, thanks

valina [46]

Answer:

Answer is (1): 2 times (x^2 -13)

Step-by-step explanation:

Using the FOIL method, you can conclude that (x-5)(x+5) is X^2 -5x +5x -25. Since the two middle terms cancel, you are left with X^2 -25. For the right side of the equation, (x-1)(x+1), using the FOIL method gets you x^2 -x +x -1. Once again, the -x and x cancel out and you end up with X^2 -1. To add both of these together, you can get rid of all parentheses and do the work. Two x^2 added together is 2X^2, and -25-1 is negative 26. After this, you end up with 2x^2 -26. To get to your final answer you need to take out the GCF of both terms, (the largest number that can go into 2x^2 and -26), which is 2. Taking the two out leaves us with 2(x^2 -13), which is your final answer. It looks like you were on the right track.

FOIL Property

Multiply first terms

Then Outside terms

Then inside terms

Then the last terms

Hope this helps!

3 0

2 years ago