(Right angle) Trigonometry
please help!

9514 1404 393

Answer:

  D'(3.5, 1)

Step-by-step explanation:

Use the given translation formula.

  (x, y) → (x +6, y -4)

  D(-2.5, 5) → D'(-2.5 +6, 5 -4) = D'(3.5, 1)

Answer:

d

Step-by-step explanation:

trust

Answer:

angle 2 is 92 degree

Step-by-step explanation:

-8x + 144 = 2x + 74 (being alternate exterior angles)

-8x - 2x = 74 - 144

-10x = -70

x = -70/-10

x = 7 degree

2x + 74 + angle 2 = 180 degree (being linear pair)

2*7 + 74 + angle 2 = 180

14 + 74 + angle 2 = 180

88 + angle 2 = 180

angle 2 = 180 - 88

angle 2 = 92 degree

Answer:

92

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Answer:

1.14male studying biology

Answer:

7

Step-by-step explanation:

Given

RT=29

RS=2x+1

ST=6x+4

Now,

From the figure attached

RT=RS+ST

29=2x+1+6x+4

29=8x+5

29-5=8x

24=8x

x=3

Now,

Length of RS can be calculated as:

RS=2x+1

RS=2(3)+1

RS=7

Answer is 7

Answer:

The solution to the inequality is [tex](-\infty, 0) \cup (3, \infty)[/tex]

Step-by-step explanation:

We have a product, which is positive if both terms is positive or if both is negative.

Both positive:

[tex]x > 0[/tex]

[tex]x - 3 > 0 \rightarrow x > 3[/tex]

Then the intersection of these two is: [tex]x > 3[/tex]

Both negative:

[tex]x < 0[/tex]

[tex]x - 3 < 0 \rightarrow x < 3[/tex]

Then the intersection of those two is: [tex]x < 0[/tex]

Then:

Union of two solutions:

[tex]x < 0[/tex] or [tex]x > 3[/tex]

Then

[tex](-\infty, 0) \cup (3, \infty)[/tex]

Answer:

n = -1

Step-by-step explanation:

n^2 + 5n + 1 = 3n

N^2 +2n +1 = 0       (subtract 3n from both sides)

(n+1)(n+1) = 0   (factor

n+1 =0; n= -1

n+1 = 0  ; n=-1

9514 1404 393

Answer:

  (x, y) = (1, -3)

Step-by-step explanation:

The x-term has a coefficient of 1 in the first equation, making it easy to write and expression that can be substituted for x:

  x = -3y -8

Using this in the second equation, we have ...

  4(-3y -8) -3y = 13

  -15y -32 = 13

  -45 = 15y

  -3 = y

Then the value of x is ...

  x = -3(-3) -8 = 1

The solution is (x, y) = (1, -3).

Answer:

triangle BEF is right angled triangle

Answer:

a+2b

Step-by-step explanation:

2(a+2b)-a-2b

2a+4b-a-2b

=a+2b

Answer:

Step-by-step explana:2 ( a+ 2b) - a- 2b

=2a + 4b - a - 2b= a + 2b  

Answer: Axioms and Postulates

Step-by-step explanation:

Even if we draw more points on a line, It is an accepted statement of a fact that cannot be disproved - which which these are called Axioms or Postulates; and they are interchangeable.

I hope my explanation helped. Your welcome.

Answer:

the answer to the question is - 2 over 7 and - 12 over 7

Answer:

y means that the schedule your online Hindi

Answer:

1. The first set of number is

1,2,3,4,5

Mean= 1+2+3+4+5/5

= 15/5

= 3

Median= 3

Mode= N/A

The next set of numbers is

2,3,4,5,6,6

Mean= 2+3+4+5+6+6/6

= 26/6

= 4.3

Median=4+5/2

= 9/2

= 4.5

Mode= 6

The next set of number is

6,7,5,4,5,6,2,5

Mean= 2+4+5+5+5+6+6+7/8

= 40/8

= 5

Median= 5+5/2

= 10/2

= 5

Mode= 5

Answer:

9 hours

Step-by-step explanation:

$273/13 hours=$21 per hour

$189/$21 =9 hours

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  3h^-8·k^10

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

  [tex]\dfrac{15h^{-4}k^{15}}{5h^4k^5}=\dfrac{15}{5}h^{-4-4}k^{15-5}=\boxed{3h^{-8}k^{10}}[/tex]

Answer:

4 liters of engine oil

Step-by-step explanation:

petrol : engine oil

        5:2

      10:?

we notice that if we double 5:2 becomes 10:4 so the missing part of engine oil is 4.

Answer:

To show that A has a supremum is given as,

Step-by-step explanation:

Because A is that the set of all letters from the dictionary starting with the letter 'a'. And as after set A, there'll be a group containing all the opposite words .. so there exists some x during a such every other letter during a comes before it. So it's none aside from a word starting with the letter b therefore the supremum of the set A is letter b.

Answer:

$50 dollars saved

Step-by-step explanation:

Given

[tex]y = 10x[/tex]

Required

The amount saved after 5 weeks

We have:

[tex]y = 10x[/tex]

Substitute 5 for x

[tex]y = 10*5[/tex]

[tex]y = 50[/tex]

Answer:

Step-by-step explanation:

3/5 - 2/5 = (3-2)/5 = 1/5

7/10 - 3/10 = (7-3)/10 = 4/10 = 2/5

Answer:

The ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) is in the ratio 2:3

Step-by-step explanation:

Let (x, y) be the coordinates of point of intersection.

Hence x=(a*8+1*3)(a+1) = (8a+3)/(a+1)

and

y = {a*9+1*(-1)}/(a+1)=(9a-1)/(a+1)

Since this point lies on the line x-y-2=0

Hence (8a+3)/(a+1)-(9a-1)/(a+1)-2=0

i.e. 8a+3–9a+1–2(a+1)=0

Or 8a+3–9a+1–2a-2=0

i.e.-3a+2=0

Hence a=2/3

hence the ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) in the ratio 2/3:1

i.e. 2:3

Step-by-step explanation:

Có 7 mặt phẳng

5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)

Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ

The correct option is polygon E.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given that, Which polygons have at least one pair of parallel sides but are not parallelograms,

Such polygons are called trapezoid.

A trapezoid, also known as a trapezium, is a flat-closed shape having 4 straight sides, with one pair of parallel sides.

Hence, the correct polygon is E.

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Answer:

0.

Step-by-step explanation:

I am assuming you want to evaluate

(sin10+cos10)²(1-sin20)-cos²20

That evaluates to 0.

Answer:

C

Step-by-step explanation:

I don't actually know how to explain it but,

Q1=43.5

Q2=44

Q3=48.5

Sorry, I can't help more.

Answer:

  C  is your answer

Step-by-step explanation:

Answer:

a)

52,500 persons

b)

Assuming that a single person occupies 4 square feet of space.

Use the following formula to calculate the Numbers o person occupies the Grand Central Station in New York City

Numbers of person occupies the Grand Central Station in New York City = Total Space of Grand Central Station in New York City / Space occupied by each person

Where

Total Space of Grand Central Station in New York City = 210,000 square feet

Space occupied by each person = 4 squaure feet

Placing values in the formula

Numbers of person occupies the Grand Central Station in New York City = 210,000 square feet / 4 square feet per person

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

c)

1.3125%

d)

Use the following formula to calculate the percentage of people that could be sheltered in the station

Percentage of people shelter in the station = ( Numbers of person occupies the Grand Central Station in New York City / Total population in Manhattan ) x 100

Where

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

Total population in Manhattan = 4,000,000 persons

Placing values in the formula

Percentage of people shelter in the station = ( 52,500 / 4,000,000 ) x 100 = 0.013125 = 1.3125%

The number of persons will be "105,000 persons" and the percentage of 4 million that could be sheltered in the station will be "2.625%".

Given:

Total area,

Total persons,

(a)

→ [tex]Number \ of \ persons (N) = \frac{A}{Area \ covered \ by \ one \ person}[/tex]

By substituting the values, we get

                                         [tex]= \frac{210000}{2}[/tex]

                                         [tex]= 105000 \ per \ share[/tex]

(b)

This approximation comes from dividing a large or overall area by something like a portion of one individual.

(c)

→ [tex]Percentage \ share = \frac{N}{N_t}\times 100[/tex]

By substituting the values, we get

                                [tex]= \frac{10500000}{4\times 10^6}[/tex]

                                [tex]= 2.625[/tex] (%)

(d)

Using the method above that, the proportion of people throughout the living room will be calculated.

Thus the above response in appropriate.

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The unit circle is best suited for dealing with angles and trigonometric functions of multiple angles, right triangles are best for finding the lengths of the sides of triangles with a right angle, and trigonometric identities are best for simplifying or manipulating trigonometric expressions.

Each tool has its own strengths and weaknesses and is better suited for certain types of problems.

Unit Circle is a powerful tool used to relate angles to trigonometric functions. It is particularly useful when dealing with angles in radians, as it allows for easy conversion between radians and degrees. The unit circle is also useful when dealing with trigonometric functions of multiple angles, such as sine and cosine of the sum or difference of two angles.

A good example will be if we want to find the exact value of sin(π/6), we can use the unit circle to visualize the angle π/6, which corresponds to 30 degrees. The unit circle tells us that at this angle, sin(π/6) = 1/2.

Right triangles are useful when we have a right angle in the triangle, as they allow us to use the Pythagorean theorem and trigonometric ratios to find the lengths of the sides of the triangle. Right triangles are particularly useful when we know one angle and one side length, as we can use trigonometric ratios such as sine, cosine, and tangent to find the lengths of the other sides.

If we have a right triangle with an angle of 30 degrees and a hypotenuse of 2, we can use the sine ratio to find the length of the opposite side. sin(30) = opposite/hypotenuse, so opposite = sin(30) * 2 = 1.

Trigonometric identities are useful when we want to simplify or manipulate trigonometric expressions. These identities are derived from the definitions of the trigonometric functions and can be used to simplify complex expressions or prove trigonometric identities.

For example, we can use the identity:

sin²(x) + cos²(x) = 1

to simplify the expression

sin²(x) - cos²(x).

We can rewrite this expression as:

sin²(x) - cos²(x) = sin²(x) + (-1)*cos²(x)

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Step-by-step explanation:

if you need any explanation you can ask