Find sin of theta when you only know cos of theta. You have to use the Pythagorean Identity!

Answer:

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

[tex]a+b=90[/tex]

And we are told their difference is 36. Therefore:

[tex]a-b=36[/tex]

Solve for the system of equations. Add b to both sides in the second equation:

[tex]a=b+36[/tex]

Substitute this into the first:

[tex](b+36)+b=90[/tex]

Combine like terms;

[tex]2b+36=90[/tex]

Subtract 36:

[tex]2b=54[/tex]

Divide by 2:

[tex]b=27[/tex]

So, b is 27 degrees.

Use the second equation again:

[tex]a-b=36[/tex]

Now that we know b is 27, substitute:

[tex]a-27=36[/tex]

Add 27 to both sides:

[tex]a=63[/tex]

So, a is 63 degrees.

And we're done :)

Answer:

27 and 63

Step-by-step explanation:

x - y = 36

x + y = 90

add the equations together

2x = 126

x = 63

substitute x for x in the first equation

63 - y = 36

y = 27

Answer:

7

Step-by-step explanation:

D=r*t

r=d/t

r=63/9

r=7

Answer:

a. A statistical that estimates a population parameter

Step-by-step explanation:

A point estimate is a mathematical or statistics term that describes that is used as a means of revealing an estimated value of some parameter. It utilizes a single value, which can sometimes be the statistic mean to carry out the process of point estimation.

Hence, in this case, the correct answer is Option A: A statistical that estimates a population parameter

Answer:

1. I= $36, NB = $336

2. R = 5%, NB = $517.50

3. T= 5 YEARS, NB = $612.50

4. P= $675, NB = $783

Step-by-step explanation:

1. p= 300, r=3% t=4year

I= p*r*t

i= 300 * (3/100) * 4

i = 300 * 0.03 * 4

i = 36

New Balance = 300+36 = $336

2. r = (i*100)/(p*t)

= (67.50*100)/(450*3)

= 6750/1350

= 5%

New Balance =450+67.50 = $517.50

3. t= (i*100)/(p*r)

= (112.50*100)/(500*4.5)

= 11250/2250

=5

New Balance = 500+112.50 =$612.50

4. p= (i*100)/(r*t)

= (108*100)/(8*2)

= 10800/16

= $675

New Balance = $675+$108 = $783

Answer:

x < -8

Step-by-step explanation:

Step 1: Translate

Product = multiplication = -8(x)

More than = >

64 = 64

Step 2: Write out inequality

-8x > 64

Step 3: Solve

x < -8

Answer:

1. x=2 2. x=23

Step-by-step explanation:

1: 7(x+3) = 39-2x

7x+21 = 39-2x

9x=18; x=2

2. 2x-5 = 1/2(3x-13)

2x-5 = 1.5x-13/2

0.5x=11.5; x=23

Answer:

225 runs

Step-by-step explanation:

180/40 = 4.5

50 × 4.5 = 225

Answer:

y = 6x

Step-by-step explanation:

pay = $6 per hour

y = 6x

Answer:

total pay = 6h

Step-by-step explanation:

total pay =  pay per hour *hours worked

total pay = 6h

Answer:

n does not have a defined value, but it has only one value, it is only possible to determined it in an equality let's say that 5n+21=26 there n =1

but we don't know the value

so it stays as 5n+21

refer to the attached image

The value of the give expression is, 6260/8591

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression,  9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

9/11 + 3/13 × 26/33 - (21/121÷ 71/111) =

= 9/11+3x2/33-(21/121x111/71)

= 9/11+6/33-2331/8591

= 9/11+2/11-2331/8591

= 1-2331/8591

= 6260/8591

Hence. the value of the give expression is, 6260/8591

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Answer:

3)infinitely many solution

Step-by-step explanation:

-3 - 7t = -7t - 3

-7t + 7t = -3 + 3

0 = 0

if there is same number on both side it have infinitely many solution.

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for any question comment me

Answer:

4(4a+5) = 16 a + 20 = True

Step-by-step explanation:

Step-by-step explanation:

It is given that, three oil tankers together contain 37 5/7 litres of oil.

Total volume of oil is [tex]\dfrac{264}{7}\ L[/tex]

If two tankers have 11 3/14 litres and 12 3/7 litres of oil.

Oil in first tanker is [tex]\dfrac{157}{14}\ L[/tex]

Oil in second tanker is [tex]\dfrac{87}{7}\ L[/tex]

Oil in first and second tanker is :

[tex]\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L[/tex]

Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )

[tex]=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L[/tex]

Hence, this is the required solution.

Answer:

220

Step-by-step explanation:

55 percentage of x = 121

so X = 220

as simple as that

Answer:2

Step-by-step explanation:

The expression contains two terms .

An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

According to the question

The product of -3 and the square of a number decreased by 8

i.e ,

Let  square number = [tex]x^{2}[/tex]

=>  -3[tex]x^{2}[/tex]-8

Hence, The expression contains two terms -3[tex]x^{2}[/tex] and -8 .

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]A = \frac{1}{2} \times b \times h\\A = 32\\b = ?=x\\h = 4\\\\32 = \frac{1}{2} \times x \times 4\\\\32 = \frac{4x}{2} \\\\Cross \: Multiply\\\\64 =4x \\Divde \: both \: sides \: of \: the \:equation \:by \: 4\\\\\frac{4x}{4} = \frac{64}{4} \\\\x = 16[/tex]

Answer:

44

Step-by-step explanation:

1. substitute variables with their constants

(-9)(-3) - (-3)(8) - 7

2. multiply all like terms

(27) - (-24) - 7

3. Combine all like terms

27 + 24 - 7

51 - 7

= 44

Answer:

44

Step-by-step explanation:

Evaluate z x - x y - 7 where x = -3, y = 8 and z = -9:

z x - x y - 7 = -9 (-3) - -3×8 - 7

Hint: | Multiply -9 and -3 together.

-9 (-3) = 27:

27 - -3×8 - 7

Hint: | Multiply -1 and -3 together.

-(-3) = 3:

27 + 3×8 - 7

Hint: | Multiply 3 and 8 together.

3×8 = 24:

27 + 24 - 7

Hint: | Evaluate 27 + 24 using long addition.

| 1 |  

| 2 | 7

+ | 2 | 4

| 5 | 1:

51 - 7

Hint: | Subtract 7 from 51.

| 4 | 11

| 5 | 1

- | | 7

| 4 | 4:

Answer: 44

Answer:

the negative

Step-by-step explanation:

if you do -5 to the second power it will give you -25 and if you do (-5) it will give you 25.

Answer:

B

Step-by-step explanation:7 is greater than 2

The correct answer is 367,244.

Number System is a method of representing Numbers on the Number Line with the help of a set of Symbols and rules. These symbols range from 0-9 and are termed as digits. Number System is used to perform mathematical computations ranging from great scientific calculations to calculations.

Positive Numbers: Numbers that are represented on the right side of the zero are termed as Positive Numbers. The value of these numbers increases on moving towards the right. Positive numbers are used for Addition between numbers. Example: 1, 2, 3, 4, …

Negative Numbers: Numbers that are represented on the left side of the zero are termed as Negative Numbers. The value of these numbers decreases on moving towards the left. Negative numbers are used for Subtraction between numbers. Example: -1, -2, -3, -4, …

as per the situation given,

we have number has a thousands digit that is ten times greater than the hundreds digit.

So, the number is 367244 because 7 is 5 greater than 2.

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Answer:

addition property of equality

Step-by-step explanation:

−18+p=18

Add 18 to each side using the addition property of equality

−18+18+p=18+18

p = 36

Answer:

Hey there!

Cone formula: [tex]\pi[/tex]hr^2/3

Plugging in the values, we get the volume is 301.59

Let me know if this helps :)

Answer:

96π

301.59

Step-by-step explanation:

The volume of a cone can be calculated using the following formula:

[tex]V=\frac{1}{3}bh[/tex]

b is the base and h is the height. The base formula for a circle (area):

[tex]b=\pi r^2[/tex]

Insert this value into the formula:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Simplify the formula:

[tex]V=\frac{\pi r^2h }{3}[/tex]

Now insert the known values:

[tex]V=\frac{\pi(6)^2(8) }{3}[/tex]

Simplify:

[tex]V=\frac{\pi*36*8 }{3}\\\\V=\frac{288\pi }{3}\\\\V=96\pi[/tex]

The volume is 96π units³ or 301.59 units³.

:Done

Answer: The answer is 3ab + 2a + 3b.

Step-by-step explanation:

So we are given this equation:

2ab - ab + 2a + 3b + 2ab

First we have to add like terms:

2ab + 2ab - ab + 2a + 3b

4ab - ab + 2a + 3b

3ab + 2a + 3b

Here is your answer!

Answer: Point F is at location (-4, -5)

The x and y axis meet at the origin (0,0)

Start at the origin and move 4 units to the left. This means the x coordinate is x = -4

Then move 5 units down so the y coordinate is y = -5

Put together (x,y) = (-4, -5) describes where point F is located.

Answer:

(-4-5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

f'(x)=-2x+7

f(x) is decreasing if '(x)<0

so -2x+7<0

or 7<2x

or 2x>7

or x>7/2

including end points f(x) is decreasing in [3/2,∞)

Answer:

Step-by-step explanation:

-7 - 9x = -61

-9x = -54

x = 6

Answer:

x = 8

AB  = 54

Step-by-step explanation:

AD = DB

2x+11 = 4x-5

11 = 2x - 5

16 = 2x

8 = x

2(8) + 11 =

16 + 11 = 27

Step-by-step explanation:

It is given that the result displayed on the calculator screen is [tex]1.8E 10^{-4}[/tex]. We need to say out of all options, which options represent the equivalent number.

[tex]1.8\times 10^{-4}=\dfrac{1.8}{10^4}\\\\=\dfrac{1.8}{10000}[/tex] .....(1)

Option (2) is correct i.e. [tex]1.8E10^{-4}=1.8\times 10^{-4}[/tex]

From eq2uation (1)

[tex]\dfrac{1.8}{10000}=\dfrac{18}{100000}\\\\=0.00018[/tex]

Option (4) is correct.

Answer:

Step-by-step explanation:

∠ADE =  74   {Vertically opposite angles are equal}

∠AED + 127 = 180  {Straight line }

∠AED = 180 - 127

∠AED = 53

In ΔADE,

∠DAE + ∠AED + ∠ADE = 180 {angle sum property of triangle}

∠DAE + 53 + 74 = 180

∠DAE + 127 = 180

∠DAE = 180 -127

∠DAE = 53

Answer:

1. = -560

2. = I181

3. = 752

4. = I311

5. = 572

6. = I831

7. = -3450

8. = 5980

9. = -I1121

10. = -I1431