The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a rectangle with a perimeter of 34 inches and a length of 5 inches. In your final answer, include all necessary calculations.

The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

As per the given,

cos(2x)/ [cos(x)-sin(x)]

Since, cosx = cos²x - sin²x

cos(2x)/ [cos(x)-sin(x)]  = (cos²x - sin²x)/[cos(x)-sin(x)]

Since, A² - B² = (A + B)(A - B)

(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]

⇒cos(x) + sin(x)

Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".

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Answer:

Exactly 28million

Step-by-step explanation:

Answer:

9 Patients

Step-by-step explanation:

The median is the middle value of all of the selected numbers

4, 5, 7, 9, 11, 12, 17.

Answer:

9 patient

Step-by-step explanation:

Arrange numbers from smallest to largest. Then, Pick the middle one. That's your answer.

Answer:

B

Step-by-step explanation:

side angle side

just look at the angle with the red line in the corner and for the side look at the two marks in the same spot  you know its right because you only need to flip it for them to look the same

Answer:

C) KL = EF

Step-by-step explanation:

Since this is a SAS problem which is short for Side Angle Side, then that means that if 2 sides and 1 angle of a triangle are congruent to 2 sides and 1 angle of another triangle, then the 2 triangles are congruent.

In the problem given, it already shows us that sides DE and JK are congruent to each other.

As well as angles K and E.

So now all we need are 2 other sides to be congruent, which would be KL and EF.

Answer: 6.8 inches

Step-by-step explanation:

Answer:

answer is a

Step-by-step explanation:

Describe the end behavior of the given function.

$(-) = 0) – 2

O A. As x decreases, (x) approaches 2.

OB.

As x decreases, Ax) approaches negative infinity.

OC. As xincreases, fx) approaches infinity.

OD. As x increases, Ax) approaches -2

Answer:

C.

Step-by-step explanation:

(Use desmos graphing calculator to graph it...)

Answer:D

Step-by-step explanation: The answer would be 3b+6 and when you solve 3(b+2) you get 3b +6)

3 times b is 3b and when you add 6 it becomes 3b+6 or 3(b+2)

Answer:

A seems correct

Step-by-step explanation:

so 6 must be multiplied b times and added to 3

Answer:

Step-by-step explanation:

in quadrant 1 cos and sec are positive.

cos(θ)=√(1-sin²θ)=√(1-(12/13)²)=√((169-144)/13²)=5/13

secθ=13/5

Step-by-step explanation:

A'B' = 5

B'C' = 6

A'C'= 2

in translation, the length of sides do not change

Answer:

x<16

it's the last one

Step-by-step explanation:

Multiply both sides of the inequality by

then move the constant to the right hand side and

change it's sign and

subtract by four

Answer:

Q1 = 2

Q3 = 6

Step-by-step explanation:

Mathematically, we have

Q1 = (n + 1)/4 th term

where n is the number of terms

By the count, we have n as 15

Q1 = (15 + 1)/4

Q1 = 4th term

Looking at the arrangement, the 4th term is 2

For Q3

Q3 = 3(n + 1)/4 th term

n = 15

Q3 = 3 * 4 = 12th term

The 12th term is 6

So that is the 3rd quartile

Answer:

True , null

Step-by-step explanation:

Mostly the true hypothesis is the null hypothesis .

We test the true hypothesis , the null hypothesis  against the claim provided which is named as alternate hypothesis.

When the false hypothesis is the null hypothesis , type II error is made.

Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.

So option 1 is correct

Answer:

its -1 since the equation is all real numbers

Answer:

Your answer is -1.

Step-by-step explanation:

Answer:

[tex]a=10[/tex]

Step-by-step explanation:

This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.

Special Right Triangles:

In any 30-60-90 triangle, all sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked [tex]10\sqrt{3}[/tex] must be [tex]x\sqrt{3}[/tex] and therefore we have [tex]a=\boxed{10}[/tex]

Answer:

X=0 or x=8/5

Step-by-step explanation:

Answer:

I e III

Step-by-step explanation:

Recebemos declarações na questão acima para considerar.

Declaração I. O inverso de 0,2 é 5.

Matematicamente, isso é escrito como:

1 / 0,2

0,2 = 2/10

Portanto: 1 ÷ 2/10 = 1 × 10/2

= 5

Afirmação 1 é verdadeira

Declaração II.

O triplo de 2/5 é 6/15.

Triplo de 2/5 = 2/5 + 2/5 + 2/5

= 2 + 2 + 2/5

= 6/5

= 1 1/5

Declaração II é falsa

III. A metade de 0,5 é 1/5

1/2 de 0,5

= 1/2 × 0,5 = 0,25

Convertendo em fração

= 0,25 = 25/100

= 1/4

Declaração III está correta

Portanto, as afirmações verdadeiras são I e III

Answer:

220

Step-by-step explanation:

First, find the area of the bottom prism.

5x10x3 = 150.

Then find the area of the top prism.

The trapezoid's area is 7, multiply this by 10.

Add your quantities together.

You get 220.

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

A) 29

Step-by-step explanation:

Substitute 4 for x and you can solve this

5 + 6x

5 + 6 * 4

5 + 24

29

Answer:

Step-by-step explanation:

the coin is   1/2

the spinner is  3/4

so

1/2 * 3/4 =  3/8  

37.5%

Answer:

take 45 degree as reference angle

use sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=b/10(do cross multiplication)

b[tex]\sqrt{2}[/tex]=10

b=10/[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

40/30

Step-by-step explanation:

[tex]tan = opposite/adjacent[/tex]

[tex]tan\ \angle Z = \frac{40}{30}[/tex]

Answer:

188 wrestlers

Step-by-step explanation:

Given

[tex]F =5w + 75[/tex]

[tex]F = 1013[/tex]

Required

Determine the number of wrestlers (w)

We have:

[tex]F =5w + 75[/tex]

Substitute: [tex]F = 1013[/tex]

[tex]1013 = 5w + 75[/tex]

Collect like terms

[tex]5w = 1013 - 75[/tex]

[tex]5w = 938[/tex]

Divide both sides by 5

[tex]w = 187.6[/tex]

Round up to get the number of wrestlers

[tex]w = 188[/tex]

Answer:

B

Step-by-step explanation:

15² - 12² = 81

√81 = 9

Answer:

Step-by-step explanation:

Let the numbers be x and y.

The system based on the question is:

The solution is: (34, -14)

See the graph

Let numbers be x and y

Graph attached

Solution is