Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ

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Answer:

72 units^2

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Answer:

Is B

Step-by-step explanation:

the vertex is 0,0

Axis of symmetry :x=-1

directrix y=-1

-2,1

-1,1/4

0,0

Answer:

80+40+44-20÷24+32 ♡♡♡

Using set operations,

1.The number of students who study all the three subjects = 10

2.The number of students who study only mathematics and chemistry = 8

Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.

Let mathematics = M, physics = P, chemistry = C.

n(M∪P∪C) = 80

n(M) = 48

n(P) = 40

n(C) = 44

n(M∩P) = 20

n(M∩C) = ?

n(C∩P) = 24

n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32

20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32

n(M∩C) = 3n(C∩P∩M) - 12 - *

We know,

n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)

80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)

n(M∩C) = n(C∩P∩M) + 8 - **

Equating * and **,

n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12

2n(C∩P∩M) = 20

n(C∩P∩M) = 10

putting the value of n(C∩P∩M) in *

n(M∩C) = 18

n(M∩C) - n(C∩P∩M) = 8

Learn more about set operations here

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Answer:

The 95% confidence interval for the true average strain is between 23.94% and 28.06%.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 13 - 1 = 12

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.18

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.18\frac{3.4}{\sqrt{13}} = 2.06[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 26 - 2.06 = 23.94

The upper end of the interval is the sample mean added to M. So it is 26 + 2.06 = 28.06

The 95% confidence interval for the true average strain is between 23.94% and 28.06%.

Answer:         m               cm

                    112.00 11,200

Step-by-step explanation:

Answer:

y=2 and x=1

Step-by-step explanation:

sub 2 into 1

3(15-7y) + 4y= 11

45 - 21y +4y =11

-21y+4y= 11-45

-17y= - 34

y=2

Therefore sub y into x equation

x=15-7(2)

x= 1

Answer:

3x + 4y = 11

x = 15 -7 y

3 (15-7y) = 11

45 - 21y + 4y = 11

45 - 17 y = 11

-17 y =11 -45

-17y ÷ -17 = -34 ÷ -17

y = 2

x = 15 - 7y

x = 15 - 7(2)

x = 15 - 14

x = 1

there for y = 2 and x = 1 is the solution

Answer:

h = 3100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2h = 81² - 19²

Step 2: Solve for h

Answer:

2h = 81^2 - 19^2

2h = 6561 - 361

2h = 6200

h = 6200/2

h = 3100

Answer:

right 6

down 3

Step-by-step explanation:

Take 1 point and make it go from red to blue. All the rest will do the same thing.

This is just an random choice. Choose the lowest point on the red. It is at

(-3, - 2)

Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.

Now it also goes down. The red point is -2 for the y or down direction.

It goes down to - 5. So that's down 3 units.

Answer:

right,scalene triangle

Step-by-step explanation:

it's slope intercept form

Answer:

slope (I think)

Step-by-step explanation:

Answer:

6x4=24 it's either this one or the one on top

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

Answer:

$8.35

Step-by-step explanation:

6 pounds is $8.35

Answer: C.

Step-by-step explanation:

if they deleat the answer im sorry

Answer:

They are less than 1/2

Step-by-step explanation:

Answer:

circumference=2πr=2×22/7×6.5=40.8571428571

option

A.

A.40.82 in

is your answer.

Step-by-step explanation:

the formula for the circumference of a circle for just the radius is

2r(pie)

so just insert 6.5 for r

2(6.5)(pie)

40.82

Hope that helps :)

Answer:

Step-by-step explanation:

∠Y = ∠P, so AY = AP

Perimeter = AY + AP + 13 = 43

AY + AP = 30

∠Y = ∠P, so AY = AP

AP = 30/2 = 15

Answer:

C. -4x - 1

Step-by-step explanation:

[tex]-\frac{1}{2}(8x+2)[/tex]

Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);

[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]

Simplify,

[tex]-4x - 1[/tex]

Answer:

x co-ordinate and y co-ordinate

20-8=12

6x7=42

i shall say this is correct

Answer:

43.2

Step-by-step explanation:

Answer:

137

Step-by-step explanation:

Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

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hope it helps

Answer:

Step-by-step explanation:

a 30-60-90 right triangle is a right triangle because of the 90

the 30 and the 60 have to make 90 too since traingles make 180

30 + 60 + 90 = 180

so 30-60-90 is a right triangle.

Right triangles also can use pythagoran theorem, so the angle ratio is

30-60-90

but the side ratio is

a² + b² = c²

Answer:

add me keegan#0839

Step-by-step explanation:

Answer:

u dont have a question attached

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Sin 30=21/H

H=21/sin 30

H= 42