given sin0= 2/3 and angle 0 is in quadrant 2, what is the exact value of cos0 in simplest form? simplify all radicals if needed

Answers

Answer 1

Answer: ( -[tex]\sqrt{5}[/tex] / 3)

Step-by-step explanation:

sin(angle) = opposite/hypotenuse

opposite =2

hypotenuse = 3

solve for adjacent side with pythagorean theorum

opposite^2 + adjacent^2 = hypotenuse^2

2^2 + adjacent^2 = 3^2

4 + adjacent^2 = 9

adjacent^2 = 9 - 4

adjacent^2 = 5

adjacent = [tex]\sqrt{5}[/tex]

-[tex]\sqrt{5}[/tex] since it is in the second quadrant

cosx = (adjacent/hypotenuse)

cosx = (-[tex]\sqrt{5}[/tex]/3)

(-[tex]\sqrt{5}[/tex]/3)


Related Questions

When you have a loan on a house, commercial property, or land, it is known as what?
Mortgage
Owner’s Manual
Permit
Rent

Answers

Answer:

mortgage

Step-by-step explanation:

all the others just dont fit the question. might be wrong might not be who knows

Multiply: (3x+7)(5x^2-3x+6)

Answers

Answer:

15x^3+26x^2-3x+42

Step-by-step explanation:

(3x+7)(5x^2-3x+6)

15x^3-9x^2+18x+35x^2-21x+42

15x^3-9x^2+35x^2+18x-21x+42

15x^3+26x^2-3x+42

Answer:

15x³ + 26x² - 3x + 42

Step-by-step explanation:

Hi there!

We are given the polynomials 3x+7 and 5x²-3x+6

We want to multiply them together

(3x+7)(5x²-3x+6)

To that, we need to distribute each term of the binomials to each other, and then add them together.

What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.

So, let's first start by multiplying 3x by everything:

3x * 5x² = 15x³

3x * -3x = -9x²

3x * 6 = 18x

Add them together: 15x³ + -9x² + 18x

Now with 7:
7 * 5x²  = 35x²

7 * -3x = -21x

7 * 6 = 42

Add them together: 35x² + -21x + 42

Now add  15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42

Combine like terms:

15x³ + 26x² - 3x + 42

Hope this helps!

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

5x10x9 Is the correct answer meaning that the answer is 450

Brainliest would be very appriciated

Step-by-step explanation:

EDIT: my bad i read the question wrong, the answer is D:450

sorry for any confusion ;^;

Each interior angle of a regular polygon has a measure of 40.how many sides does the polygon have?​

Answers

Given Information :-

Each exterior angle of a regular polygon has a measure of 40°

To Find :-

The number of sides of the polygon

Formula Used :-

[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf No.~of~sides = \dfrac{360^ \circ}{exterior ~angle}}}} \: \star[/tex]

Solution :-

Using the formula,

[tex] \sf \dashrightarrow No. ~of~sides= \dfrac{360}{40} \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \frac{ \cancel{360}}{ \cancel{40} } \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \underline{ \boxed{ \blue { \frak{9}}}} \: \star[/tex]

Thus, the polygon is a nonagon, and hence has 9 sides.

[tex] \underline{\rule{227pt}{2pt}} \\ \\ [/tex]

7. Given: AD || BC and AD=BC.
B
Prove: AB || DC

Answers

Answer:

Step-by-step explanation:


18.) A cylinder and a cone have the same radius and
the same volume. How do the heights compare?

Answers

Answer:

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Step-by-step explanation:

i need an answer in 5 minutes please!

Find a unit vector in the direction of the given vector, w = 6i - 3j​

Answers

Step-by-step explanation:

hope this helps, you can ask any questions for clarification

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

ABC + DBC = ABD
(4x-4)+(4x+9) =77
4x-4+4x+9=77
8x=77-5
8x=72
X=72/8
X=9
Then
ABC=4x-4
=4*9-4
= 32
DBC=4x+9
=4*9+9
=45

evaluate F (-1) where f (x) is the piece wise function graphed below

Answers

Check the picture below.

Data from a sample of 576 people in a city was used to estimate the mean monthly bill
paid by city residents for internet service to be $45 with a standard deviation of $0.48.
Enter a number in the box to complete the sentence below.
S
Use the formula M=1.96 x to calculate the margin of error for a 95% confidence
VN
interval, to the nearest hundredth, $
dollars.

Answers

Using the z-distribution, it is found that the margin of error for a 95% confidence interval is of $0.04.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, the values of the parameters are:

[tex]z = 1.96, \sigma = 0.48, n = 576[/tex].

Hence, the margin of error, in dollars, is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{0.48}{\sqrt{576}}[/tex]

M = 0.04.

More can be learned about the z-distribution at https://brainly.com/question/25890103

system of equations using substitution method
3x+4y=-3 x+2y=-1​

Answers

Answer:

[tex]{x,y}={-1,0}[/tex]

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 4y = -3

  [2]    x + 2y = -1

Solve by Substitution :

// Solve equation [2] for the variable x

[2]    x = -2y - 1

// Plug this in for variable  x  in equation [1]

  [1]    3•(-2y-1) + 4y = -3

  [1]     - 2y = 0

// Solve equation [1] for the variable  y

  [1]    2y = 0

  [1]    y = 0

// By now we know this much :

   x = -2y-1

   y = 0

// Use the  y  value to solve for  x

   x = -2(0/32765)-1 = -1

Solution :

{x,y} = {-1,0/32765}

Answer:

[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

3x+4y=-3 and x+2y=-1

[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]

You have to substitute.

[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]

Solve.

[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]

[tex]\sf{\dfrac{-3-4y}{3}}[/tex]

y=0

For y=0.

[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]

Solve.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

-3-4*0/3

Multiply.

4*0=0

-3-0

Add/subtract the numbers from left to right.

-3-0=-3

-3/3

Divide.

-3/3=-1

x=-1

Therefore, the final answer is x=-1 and y=0.

I hope this helps. Let me know if you have any questions.

Krystal was given $3000 when she turned 2 years old. Her parents invested at a 2% interest rate compounded annually. No deposits or withdrawals were made. Determine how much money Krystal had in the account when she turned 18.

Answers

Answer:

4131.38

Step-by-step explanation:

Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:

[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]

Can you help me solve this

Answers

Answer:

27 miles

Step-by-step explanation:

27 miles is your answer

this graph shows how much money Jack spent on toys.If Jack purchase 5 toys,how much money will he spend?​

Answers

it depends lol you didn’t show a picture of the graph.

to solve it: you will have to add whatever what was on the chart. for example, on the chart if they toys were $10 each, and he bought 5 toys you would do 10+10+10+10+10=50

A car rental agency rent compact, midsize, and luxury cars. Its goal is to purchase 48 cars for a total of $932,000 and to earn a daily rental of $ 1,265 from all the cars. The compact cars cost $13,000 each earn $ 20 per day in rental, the midsize cars cost $ 25,000 each earn $ 27 per day, and the luxury cars cost $ 29,000 each and earn $ 45 per day. Your task will be to find the number of each type of car the agency should purchase to meet its goal.

Answers

Answer:

25 compact15 midsize8 luxury

Step-by-step explanation:

The set of relationships can be formulated as three equations in three unknowns. These can be written as an augmented matrix and solved using a calculator.

Let x, y, z represent the numbers of compact, midsize, and luxury cars, respectively. Then the relations are ...

  x + y + z = 48 . . . . . . total number of cars purchased

  13x +25y +39z = 932 . . . . . total cost in thousands

  20x +27y +45z = 1265 . . . . daily rental revenue

The augmented matrix of coefficients looks like ...

  [tex]\left[\begin{array}{ccc|c}1&1&1&48\\13&25&39&932\\20&27&45&1265\end{array}\right][/tex]

And its solution is ...

  (x, y, z) = (25, 15, 8)

The agency should purchase 25 compacts, 15 midsize, and 8 luxury cars.

A can of juice is 5cm in diameter and 8cm high. How much juice is in a pack of 6cans

Answers

Answer:

942.84 cm³

Step-by-step explanation:

volume of 1 can = πr²h = 22/7 × 5/2 × 5/2 × 8

= 157.14 cm³

volume of juice in 6 cans = 6 × 157.14 = 942.84cm³

MATH. Someone please answer this for me :) 50 points


Image attached

Answers

Answer:

A=0.51

B=0.73

C=0.41

D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age

Step-by-step explanation:

These answers are all in fractions btw

A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51

B)100+65=165

165/225=0.73

C)100/245=0.41

Hope it helps !

Simplify (x-2 divided by 2x+6) - (x-3 divided by 5x+15)

Answers

Answer:

3x - 4

---------

10(x + 3)

Step-by-step explanation:

  x -2            x - 3

----------- ( - ) ----------

2x + 6         5x + 15

Multiply both sides by the denominator

 5(x - 2)           2( x - 3)

-----------   ( - )    ----------

5(2)(x + 3)      2(5)(x + 3)

multiply the numbers together

5x - 10          2x - 6

----------- ( - ) ---------

10(x + 3)      10(x + 3)

Subtract the numberator

5x - 10 - (2x - 6)

5x - 10 - 2x + 6

5x - 2x = 3x

-10 + 6 = -4

3x - 4

3x - 4

----------

10(x + 3)

I hope this helps!

A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9

Answers

Answer:

1/5 is the answer in my calculations

The answer is 4/9 the odds are 1,3,5,7,9 (5/9) but 3 is the first digit that leaves us with 1,5,7,9 or 4/9

Find the solutions to the equation below.

Check all the apply.

16x^2 - 64 = 0

A. x = 4

B. x = 2

C. x = -64

D. x = -2

E. x = -4

F. x = -8

Answers

Answer:

x = 2

x = - 2

Step-by-step explanation:

⇒ 1: Common Factor

16x² - 64 = 016(x² - 4) = 0

⇒ 2: Use the sum-product pattern

16 (x² - 4) = 016 (x² + 2x - 2x - 4) = 0

⇒ 3: Common factor from the two pairs

16((x² + 2x) + (-2x - 4) = 016(x(x+2)-2(x+2))=0

I dont feel like adding more details.

- rewrite in factored form

16(x(x+2)-2(x+2))=0

16(x-2)(x+2)=0

- create seperate equations

16(x-2)(x+2)=0

x-2=0

x+2=0

- solve

*rearrange and isolate the variable to find each solution

x = -2

x = 2

Answer:

B.x=2

Step-by-step explanation:

[tex]16x ^{2} - 64 = 0[/tex]

[tex]16x ^{2} = 64[/tex]

[tex]4 ^{2} {x}^{2} = {4}^{3} [/tex]

[tex] {x}^{2} = \frac{4 ^{3} }{4 ^{2} } [/tex]

[tex]x^{2} = 4[/tex]

[tex] \sqrt{x ^{2} } = \sqrt{4} [/tex]

[tex]x = 2[/tex]

Write the number in scientific notation. 0.0805

a)8.05 × 10
b)0.805 × 10–1
c)80.5 × 100–3
d)8.05 × 10–2

Answers

D , you would move the decimal so there would only be one non digit zero to the left decimal and then move exponent on the 10. if you move the decimal to right there would be a negative exponent and that makes the left decimal a positive

PLEASE HELP ASAP!! 30 POINTSSSS!!!!! EXPLANATION PLEASEEEEE, IM BEGGING PLEASE DONT JUST PUT AN ANSWER

Solve for 'x' in both of the following problems.

Answers

Answer:

x = 73° , x = 7

Step-by-step explanation:

(1)

the measure of an inscribed angle is half the measure of its intercepted arc.

∠ B = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 128° = 64°

the sum of the 3 angles in Δ ABC = 180°

then

x = 180° - (64 + 43)° = 180° - 107° = 73°

(2)

2 chords iintersecting in a circle, then

the products of the parts of one chord is equal to the product of the parts of the other chord, that is

KH × HI = JH × HG ( substitute values )

10x = 14 × 5 = 70 ( divide both sides by 10 )

x = 7

At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces. Which of the following represent the acceptable weights for the frozen yogurt options? Select all that apply:
A.) 0 < x ≤ 6
B.) 0 < x ≤ 3
C.) 4 ≤ x ≤ 6
D.) x ≤ 6
E.) |x - 5| ≤ 1
F.) |x - 2| ≤ 6

Answers

Answer

4 ≤ x ≤ 6 and |x - 5| ≤ 1

Step-by-step explanation:

I answered the question...i got it right...

What is the LCD of -1 2/8 and 2 3/4?

Answers

Answer:

The least common denominator of [tex]-1\frac{2}{8}[/tex] and [tex]2\frac{3}{4}[/tex] is 8

The area of a circle is 9π m². What is the circumference, in meters? Express answer in terms of π

Answers

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

Well has -55.00 in his account if he saves $2.50 his mom gives him lunch every day, how many days will it be until he has a balance of at least $0

Answers

Answer:

22 days

Step-by-step explanation:

55 divided by 2.5=22 days

Answer: 22 Days

Step-by-step explanation:

-55.00/2.50= -22
But since you can’t have a negative answer then you have to make it positive for your amount of days! So it would take that person 22 days to have 0 in his account!

- I hope this helped! I tried my best but definitely double check with your teacher for this answer!

this is k 12 help,
please!!! for (100 points)

Answers

Answer:

14 m²

area of sqaure pyramid: a² + 2(a)(l)

a = side of the base l = slant height

area:

(2)² + 2(2)(2.5)14 m²

please help! math
(3/7) (-2/5 x 9/11)

Answers

Answer:

-54/385

Step-by-step explanation:

the answer is -54/385 !! hope this helps!!

I’ve been stuck on this question can someone help?

Answers

practice harder and harder you will get what you want

An architech was designing a rectangular room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. what is the volume, in cubic feet , or the room?

Answers

2240 cubic feet

The formula for volume is length x width x height

16 x 14 x 10 = 2240

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