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Prove the following:
[tex] \sf\frac{ \tan( \theta) }{1 - \cot( \theta) } + \frac{ \cot( \theta) }{ 1 - \tan( \theta) } = \sec( \theta) \cdot \: \csc( \theta) + 1[/tex]
[tex]\text{note: explanation is obvious}[/tex]​

Answer:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

[tex]\cos Y= \frac{YZ}{XY}[/tex]

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y

For angle Y:

[tex]Opposite = XZ[/tex]

[tex]Adjacent = YZ[/tex]

[tex]Hypotenuse = XY[/tex]

The [tex]\sin[/tex] of an angle is calculated as:

[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]

So:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

The [tex]\cos[/tex] of an angle is calculated as:

[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]

So:

[tex]\cos Y= \frac{YZ}{XY}[/tex]

The [tex]\tan[/tex] of an angle is calculated as:

[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]

So:

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Answer:

C, short answer

Step-by-step explanation:

trust

Answer:

7, 12, 17, 22     rule: add 5.     1. 27  2. 32

Step-by-step explanation:

this is your equation all you have to do is count the sticks figure out the rule once done then you add to the numbers you already have based on the rule which is add 5.

Answer:

Conner's work is correct

Step-by-step explanation:

In exponent multiplication, if base are same, add the exponents.

[tex]a^{m}*a^{n} =a^{m+n}[/tex]

For example,

5² * 5³

5² = 5 * 5

5³ = 5* 5 * 5

5² * 5³ = 5 * 5 * 5 * 5 * 5 = 5⁵ = 5⁽²⁺³⁾

Answe

Step-by-step explanation:

Answer:

103.5714286

Step-by-step explanation:

calculator

Answer:

Step-by-step explanation:

Answer:

The answer is 3/8.

Hope this helped!!

Answer:

B. 7(6x – 1) and 42x – 7 is equivalent

Step-by-step explanation:

A. –3(3x + 5) and –9x + 5

=–3(3x + 5)=-9x-15 not equivalent

B. 7(6x – 1) and 42x – 7

7(6x – 1)=42x-7 equivalent

C. –6(4x – 3) and –6x

=–6(4x – 3)=-24+18 not equivalent

D. 5(2x + 3y) and 25xy

=5(2x + 3y)=10x+15y not equivalent.

1: one solution

Explanation: We see that the variable x is equal to 9 (and only 9). Therefore there is only one solution

2: infinitely many solutions

Explanation: When an equation has infinitely many solutions, it means that any real number (aka all real numbers) would satisfy that equation. For example 2x = 2x. Any number you plug in for x would result in both sides being equal. So you know an equation has infinitely many solutions if both sides are the same

3: no solution

Explanation: 7 does not equal 4 so you can't solve this equation.

4: no solution

Explanation: 7 is not less than 7, that is impossible, so there is no solution.

5: one solution

Explanation: 8 is greater than or equal to -2, so this inequality is true, meaning it represents one solution

Answer: 3.4

Step-by-step explanation:

7.2 - 3.8

The minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].

What is the trigonometry function?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.

It means that the relationship between the angles and sides of a triangle are given by these trig functions.

Here given that,

In the trigonometry functions it intersects its midline at [tex](8.7, 7.2)[/tex], and it has a minimum point at [tex](6.2,3.8)[/tex].

So,

[tex]7.2 - 3.8=3.4[/tex]

So, the minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].

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The possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison.

In this data set, we observe that data set observes the rule that first component increases inasmuch the second component of the ordered pairs decreases. Thus, the possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison. [tex]\blacksquare[/tex]

To learn more on ordered pairs, we kindly invite to check this verified question: https://brainly.com/question/11740961

Answer:

c=10

Step-by-step explanation:

Hope it helps. Doing all your questions that you send XD

Answer:

10

Step-by-step explanation:

using the pythagorean theory the missing side would be [tex]c^{2}[/tex] bs its the hypotenuse so

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]8^{2} + 6^{2} = c^{2}[/tex]

[tex]64 + 36 = c^{2}[/tex]

[tex]100 = c^{2}[/tex]

and the square root of 100 is 10, which makes your equation

[tex]c = 10[/tex]

Answer: $18.90

Step-by-step explanation:

Answer:

$1.1

Step-by-step explanation:

= 5.5% × $20

= $1.1

Answer:

x=2

Step-by-step explanation:

Answer

x=2

Step-by-step explanation:

Answer:

$3.00

Step-by-step explanation:

6%=0.06----Convert the percentage into a decimal

0.06*$50=$3.00----Multiply the decimal by the total grocery bill and get $3.00!

Hope this helped

Answer:

the ratio of 6 kg 400 gram is 1:662

Answer:

Step-by-step explanation:

The rule of 90° counterclockwise rotation about the origin:

Apply the rule to the point T:

Answer:

A(x,y)____rotation through 90°. >A'(-y,x)

Step-by-step explanation:

T(3,-4))____rotation through 90°. >T'(4,3)

R(2,3))____rotation through 90°. >R'(-3,2)

S(5,-1))____rotation through 90°. >S'(1,5)

Answer:

36.8 ft.

9 ft. 2 inch = 9.2

9.2 x 2 = 18.4

9.2 x 2 = 18.4

18.4 + 18.4 = 36.8

Answer:

for the x+27

the value of X would be 76.5 bc the whole line is 180 degrees so you do x+27+x=180 then you solve

2x=153 then divide and you get 76.5

Answer:

The answer is "Video game: $76.8"

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to 100 \% + 28 \% = 128 \%[/tex]

Given the [tex]28\%[/tex] increase, its original proportion is added to [tex]100\%[/tex].

[tex]\to P = 1.28 \times 60 = \$ 76.8[/tex]

By using the price ratio equation, its percentage or expense of its item was increased.

Answer:

6.3 miles

Step-by-step explanation:

7/10 = 0.7

0.7 x 9 = 6.3 miles after 9 days

The distance Katie rides her bike if she rides 7/10 mile each day for 9 days is 6.3 miles.

Distance is the total movement of an object without any regard to direction.

We can define distance as to how much ground an object has covered despite its starting or ending point

Katie rides her bike 7/10 mile each day for 9 days

In 1 day she covers a distance of 0.7 mile

so in 9 days she will cover

=0.7 * 9

= 6.3 miles

Therefore the distance Katie rides her bike if she rides 7/10 mile each day for 9 days is 6.3 miles.

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Answer:

this question doesn't make sense

Answer: 0.58 inches

Step-by-step explanation:

Given

Rainfall in march is 0.88 inches

Rainfall in April is 0.3 inches less than rainfall in march i.e.

Rainfall in April is given by

[tex]\Rightarrow 0.88-0.3=0.58\ inches[/tex]

Answer:

choice C, rotated 180° & enlarged

Step-by-step explanation:

Option B is the 100% right answer

Answer:

6√2 is your answer

relationship between perpendicular and hypotenuse is given by sin angle

sin45=p/h

sin45=6/x

x=6/sin45=6√2

Answer:

2304 quarts

Step-by-step explanation:

An ice cream factory makes 320 quarts of ice cream in 5 hours. How many quarts of ice cream could be made in 36 hours?

From the above question

5 hours = 320 quarts

36 hours = x quarts

Cross Multiply

5 hours × x quarts = 320 quarts × 36 hours

x quarts = 320 quarts × 36 hours/5 hours

x quarts = 2304 quarts

Therefore, 2304 quarts of ice cream could be made in 36 hours.

Answer: 7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer should be A

Powers multiply so

2*3=6

4*3= 12

(8^6)/(4^12)

Answer:

[tex]\frac{8^6}{4^{12}}[/tex]  A)

Step-by-step explanation:

[tex](\frac{8^2}{4^4} )^3\\\\\frac{8^6}{4^{12}}[/tex]

Exponent:

2 * 3 = 6

4 * 3 = 12