The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \sin(\theta_1)=\dfrac{1}{2}sin(θ 1 ​ )= 2 1 ​ sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction . What is the value of \cos(\theta_1)cos(θ 1 ​ )cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?

Answers

Answer 1

Answer:

√3/2

Step-by-step explanation:

Given an angle θ₁ located on in the first quadrant and sinθ₁ = 1/2, we are required to calculate the value of cosθ₁.

Firstly, we need to find the value of the angle θ₁ from the expression sinθ₁ = 1/2.

Given sinθ₁ = 1/2

Take the arcsin of both sides

arcsin(sinθ₁) = arcsin(1/2)

The arcsin will cancel out the sin at the left hand side to have only θ₁. Hence;

θ₁  = arcsin(1/2)

Using the calculator, θ₁ = 30°

Since we are to find the value of cosθ₁

cosθ₁ = cos30°

cos30° = √3/2

Hence the value of cosθ₁ is √3/2

Answer 2

Answer:

60/61

Step-by-step explanation:

60/61

khan. #gayrights


Related Questions

the smallest square number which can be divisible by 11 and 5​

Answers

Answer:

3025

Step-by-step explanation:

let's look at it in this concept.

For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.

LCM of 11 and 5=55

therefore the number is 55x, where x is a positive integer.

it is a said that the number is a perfect square

therefore the square root of 55x must be an integer.

[tex] \sqrt{55x} = \sqrt{5 \times 11 \times x} [/tex]

the smallest value of x to make 55x a perfect square is....

[tex]x = 11 \times 5 = 55[/tex]

Therefore the number is.... .

[tex]55x = 55(55) = 3025[/tex]

sweet right

BRAINLIEST PLS....

The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for the rental. Draw a scatter plot and find an equation for the line of best fit. Use the equation to determine the cost of renting a car for 20 days. Days Cost 1 $44 2 $67 3 $90 4 $113 7 $182 10 $251

Answers

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

7,        $182

10,      $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

[tex]Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above[/tex]

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.

Answers

Answer:

he invented the point

he was a German mathematician

he  Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

Answer:

He was a German mathematician.

If only one is true then you're good to go.

Whoops never mind.. :/

what is the diamater of a circle
the area of a circle is 144π m^2

Answers

Answer:

24 meters

Step-by-step explanation:

The area of a circle can be found using the following formula.

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

We know that the area is 144pi m^2.

[tex]a= 144\pi m^2[/tex]

Substitute 144pi m^2 in for a.

[tex]144\pi m^2= \pi r^2[/tex]

We want to find the diameter. First, we must find the radius. We have to get the variable, r,  by itself.

Divide both sides of the equation by pi.

[tex]144\pi m^2/ \pi = \pi r^2 / \pi[/tex]

[tex]144\pi m^2/ \pi = r^2[/tex]

[tex]144 m^2= r^2[/tex]

The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

[tex]\sqrt{144 m^2} =\sqrt{r^2}[/tex]

[tex]\sqrt{144 m^2} =r[/tex]

[tex]12 m= r[/tex]

The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.

[tex]d= r*2[/tex]

The radius is 12 m.

[tex]d= 12 m*2[/tex]

Multiply

[tex]d= 24 m[/tex]

The diameter of the circle is 24 meters.

the lines on a 2 cup liquid measuring cup divide each cup into eighths. if you measure 1 3/4 cups of water between which two quantities can you be certain the exact measurement will be?

Answers

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup

2nd line up: 2/8 cup    this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup     this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup     this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup     this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup    this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup     this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup    this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup    this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

what is the equation of the translated function, g(x), if f(x)=x^2

Answers

Answer

The vertex moved 5 units right and 2 unit up.

Hence..

g(x)=(x-5)²+2

Answer:

g(x) = (x - 5)² + 2

Step-by-step explanation:

f(x) = x²

g(x) = (x - 5)² + 2

19. If CD _|_ EF, M<ECH = x + 5 and m<HCD = 3x - 7 find each missing value.
G# F
a) x =
b) m<ECH=
c) m<HCD=
d) m<GCF =
e) m<ECG=
f) m<GCD =​

Answers

[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]

Given:

[tex]m \angle ECH = x + 5\\m \angle HCD = 3x - 7[/tex]

Note the following:

Since CD is perpendicular to EF, therefore:

[tex]m \angle ECD = 90^{\circ}\\m \angle FCD = 90^{\circ}[/tex]

Thus:

a. Find x

[tex]m \angle ECH + m \angle HCD = m \angle ECD[/tex]

Substitute

[tex](x + 5) + (3x - 7) = 90[/tex]

Add like terms

[tex]x + 5 +3x - 7 = 90\\4x -2 = 90\\4x = 90 + 2\\4x = 92[/tex]

Divide both sides by 4

[tex]x = 23[/tex]

b. Find [tex]m \angle ECH[/tex]

[tex]m \angle ECH = x + 5[/tex]

Plug in the value of x

[tex]m \angle ECH = 23+ 5\\m \angle ECH =28^{\circ}[/tex]

c. Find [tex]m \angle HCD[/tex]

[tex]m \angle HCD = 3x - 7\\m \angle HCD = 3(23) - 7\\m \angle HCD = 62^{\circ}[/tex]

d. Find [tex]m \angle GCF[/tex]

[tex]m \angle GCF = m \angle ECH[/tex] (vertical angles are congruent)

Substitute

[tex]m \angle GCF = 28^{\circ}[/tex]

e. Find [tex]m \angle ECG[/tex]

[tex]m \angle ECG = 180 - m \angle GCF[/tex] (angles on a straight line)

Substitute

[tex]m \angle ECG = 180 - 28\\m \angle ECG = 152^{\circ}[/tex]

f. Find [tex]m \angle GCD[/tex]

[tex]m \angle GCD = m\angle FCD + m \angle GCF[/tex]

Substitute

[tex]m \angle GCD = 90 + 28\\m \angle GCD = 118^{\circ}[/tex]

Therefore:

[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]

Learn more here:

https://brainly.com/question/18292462

graph the function g(x)=10*(3/5)^t

Answers

Answer:

Hope this helps you.

Step-by-step explanation:

I plugged in x for t, but it is the same graph.

Please need help ASAP please need help 100 points please

Answers

Answer:

1/32 and 1/64

p and v

Step-by-step explanation:

Answer:

a. 1/32 then 1/64

b. P then V

Step-by-step explanation:

A is multiplied by 2 every time.

While b is doubled every time as well.

Simplify the expression (x)^3(x^3y)^2

A) x^9y^2

B) -x^6y^2

C) x^5y^2

D) -x^9y^2

Answers

Answer:

A)

Step-by-step explanation:

[tex](a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}[/tex]

K = 3x + 8 and m M = x + 12, find the m K. How do I solve?

Answers

Answer:

Step-by-step explanation:

3(m-12)+8

x=m-12

Is it true or false that this is the graph of f(x) = 3^x?

Answers

Answer: False, this is not the graph of f(x) = 3^x

=====================================================

Explanation:

Plug in x = 0 to get

f(x) = 3^x

f(0) = 3^0

f(0) = 1

That means (0,1) is on the graph. So far so good.

-------

But let's try x = 1

f(x) = 3^x

f(1) = 3^1

f(1) = 3

Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.

The red curve shows the equation y = 4^x.

Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?

Answers

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80[/tex]

Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x − 500,000 and g(x) = 0.2x where x equals your annual sales. Which function composition gives the bonus amount when your sales are over $500,000?

A) x(f(g))

B) x(g(f))

C) g(f(x))

D) f(g(x))

Answers

Answer:

C. [tex]g\,\circ \, f (x) =g(f(x))[/tex]

Step-by-step explanation:

Let be [tex]f(x) = x-500000[/tex] the excedent on annual sales and [tex]g(x) = 0.2\cdot x[/tex] the bonus factor, to determine the bonus amount a composition of [tex]f(x)[/tex] is [tex]g(x)[/tex] must be done. That is:

[tex]g\,\circ \, f (x) =g(f(x))[/tex]

Hence, the right answer is C.

Express as a trinomial.
(3x+5)(2x+9)

Answers

The answer is 6x2+37x+45

Answer:

[tex]6x^{2} +37x+45[/tex]

Step-by-step explanation:

Hello!

A trinomial is a algebraic expression containing 3 terms

To turn this into a trinomial we have to multiply everything by each other

              3x              

3x * 2x = 6x^2

3x * 9 = 27x

              5              

5 * 2x = 10x

5 * 9 = 45

Now we put it all together

6x^2 + 27x + 10x + 45

Combine like terms

6x^2 + 37x + 45

The answer is [tex]6x^{2} +37x+45[/tex]

Hope this helps!

Of the 600 people at a music festival, 420 had attended the previous year. How many people
out of 100 had attended the previous year?

Answers

Answer:

70 people

Step-by-step explanation:

divide both answers by 6

Answer:

70

Step-by-step explanation:

i-ready BOIIIII

PLEASE help me solve this question! No nonsense answers please!

Answers

Answer: The fourth option. if you round, 200 * 20, 1800 is found out to be much too low.

Step-by-step explanation:

Answer:

Her estimate is too low because 200 * 20 = 4000

Step-by-step explanation:

Take 19 and round to 20

Take 212 and round to 200

20 * 200 =4000

Her estimate is low

Based on the data, which of the following statements must be true?

Answers

Answer:

hope this help

Step-by-step explanation:

here is the answer

Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length of N K is 6. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the value of n to the nearest whole number? 10 13 18 21

Answers

Answer:

13

Step-by-step explanation:

From the question, we are given a triangle HNK with an angle of 90°

The length of hypotenuse H K is n,

the length of HN is 12

the length of N K is 6.

From the above values, obtained in the question, we can see that this is a right angled triangle.

We are asked to find the length of the hypotenuse.

We can use Pythagoras Theorem of solve for this.

c² = a² + b²

where c = HK = n

a = NK = 6

b = HN = 12

c² = 6² + 12²

c² = 36 + 144

c² = 180

c = √180

c = 13.416407865

Approximately to the nearest whole number = 13

Therefore the value of HK = n = 13

We can also use Law of Cosines as given in the question to solve for this.

a² = b² + c² - 2ac × Cos A

where c = HK = n

a = NK = 6

b = HN = 12

Hence

c² = a² + b² - 2ab × Cos C

c = √ (a² + b² - 2ab × Cos C)

Where C = 90

c = √ 6² + 12² - 2 × 6 × 12 × Cos 90

c = 13.42

Approximately to the nearest whole number ≈ 13

Therefore the value of HK = n = 13

Answer:

B) 22 units

Step-by-step explanation:

edge 2020 :)

Someone pleaseeee help me!!!! I’m stuck

Answers

Answer:

Hey there!

1/2 can also be written as 8/16.

Thus, starting from 0, count 8 tick marks, and place a point there.

3/16 is just 3/16.

Thus, starting from the 8th tick mark (where you left off in the first part) count three more tick marks to the 11th tick mark.

This shows us that 8/16+3/16=11/16.

Hope this helps :)

Answer:

so 1/2+3/16 is 11/16

Step-by-step explanation:

count the lines until u get to 11 and thts where u put the point.

hope this helps.have a good day

For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x

Answers

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

y = 8 - x

Step-by-step explanation:

y = 8 - x

Replace x and y in this function

12 = 8 - 4

12 = 4 (impossible)

So, (4 , 12) is not solution for: y = 8 - x

An object has a mass of 1 kilogram and a density of 10 grams per cubic centimeter. Which of the following statements is true?
The volume of the object is 100 cubic centimeters.
The volume of the object is 100 cubic meters.
The volume of the object is 100 cubic kilometers
The volume of the object cannot be determined because the shape of the object is not given

Answers

Answer:

The volume of the object is 100 cubic centimeters (100cm³)

Convert from an improper fraction to a mixed number 17\6

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

2 5/6

▹ Step-by-Step Explanation

[tex]\frac{17}{6} \\\\6 * 2 = 12\\12 + 5 = 17\\\\2\frac{5}{6}[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

2 5/6

Step-by-step explanation:

17/6

6 goes into 17 2 times  

2*6 = 12

17-12 = 5  

There is a remainder of 5  this goes over the denominator

2 5/6

A pet store has m tanks of fish. Each tank has 35 fish. Using m, write an expression for the total number of fish in the store

Answers

Answer:

35m

Step-by-step explanation:

Each tank has 35 fish and the total fish tanks is m, so to find the total you will need to do 35*m.

This is an expression because it does not have anything it is equal to.

Expression: No equal sign

Equation:Equal Sign

Hope this helps!:)

Convert the following:
4 liters is equivalent to
a0 quarts

Answers

Answer:

4.22675 quarts

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?

Answers

Answer:

1 pint

Step-by-step explanation:

You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.

Answer:

1 pint

Step-by-step explanation:

12c=4p

divide both sides by 4

3 cookies needs 1 pint!!!!

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

marking as brainliest:)

Given that f(x)=-x+4 and g(x)=-2x-3, solve for f(g(x)) when x=2.

Answers

Answer:11

Step-by-step explanation:

g(2)=-7

f(-7)=11

Answer:

f(g(x))= 11

Step-by-step explanation:

This question asks us to find f(g(x)) when x=2. Therefore, we can substitute 2 in for x.

f(g(x)), x=2

f(g(2))

First, we must find g(2).

We know that g(x)= -2x-3. We can plug 2 in for each x and solve.

g(x)= -2x -3, x=2

g(2)= -2(2)-3

First, multiply -2 and 2.

g(2)= -4-3

Then, subtract 3 from -4.

g(2)= -7

Let's return to our function: f(g(2)). We know that g(2)= -7. Thus, we can substitute -7 in for g(2).

f(g(2)), g(2)= -7

f(-7)

Now we must find f(-7). We know that f(x)= -x+4. We can plug -7 in for x and solve.

f(x)= -x+4 , x= -7

f(-7)= -(-7) +4

f(-7)= 7+4

Add 7 and 4

f(-7)= 11

Our final answer is: f(g(x))= 11

Which of the following statements is true according to the measurements in the diagram?

Answers

Let's look at the corresponding ratios:

[tex]\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\

\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\

\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\[/tex]

And we see that the three aren't equal.

Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.

Answer:

°[Option 3] => Triangle ABC and Triangle EDC are not similar

Step-by-step explanation:

The angles nor the sides are congruent in this image.

Please mark Brainliest

solve the equation 2x + 4 > 16

Answers

Answer:

x > 6

Step-by-step explanation:

2x + 4 > 16

2x > 16 - 4

2x > 12

x > 12/2

x > 6

The members of an Olympiad team contributed
a total of $ 1.69 for refreshments for their
weekly practices. Each member contributed the
same amount and paid for his or her share in
five coins. How many nickels were contributed
by all of the members?

Answers

Answer:

26 nickels

Step-by-step explanation:

Given that

Total contributed = $1.69

Number of coins = 5

based on the above information,

The number of nickels to be contributed is

Here first we have to determine the prime factors of 169 i.e 13 and 13

This represents that there are 13 member gives their $0.13 per person so it would be $1.69

Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels

So the 13 people contributed to 2 nickels

Therefore,  it would be

= 13 × 2

= 26 nickels

Other Questions
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