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ICE Princess25 [194]

3 years ago

6

Find cos(2theta) if cos(theta)= 3/4

1 answer:

yuradex [85]3 years ago

6 0

Sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exactly sin(2theta) cos(2theta) tan(2theta) sin(2theta) would it be 2 x (8/17) cos(2theta) would be 2 x (15/17) tan(2theta) would be 2 x (8/17 divided by 15/17) is this correct?

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A company distributes college logo sweatshirts and sells them for $50 each. The total cost function is linear, and the total cos

mart [117]

Answer:

The total revenue equation is TR=50Q

The total cost equation TC=2304+14Q

Equilibrium quantity is 64

Step-by-step explanation:

The total cost function can be written TC=a+bQ, where TC is the total cost ,a fixed cost ,b is the variable cost per unit and Q the quantity produced

Revenue function can be given TR=P*Q, where TR is total revenue,P is the price per unit and Q quantity sold

since P is $50

TR=50P

when TC=$3564,

3564=a+90Q equation 1

when TC=$5944

5944=a+260bequation 2

Solving simultaneously,we subtract equation 1 from 2

5944=a+260b

3564=a+90b

2380=170b

b=2380/170

b=$14

We substitute for b in any of the equations

3564=a+(14*90)

3564=a+1260

a=3564-1260

a=2304

Hence the total cost equation is

TC=2304+14Q

At equilibrium TC =TR

50P=2304+14Q

50P-14Q=2304

36Q=2304

Q=64

5 0

3 years ago

What is the area of rectangle ABCD with vertices A -3,0 B 3,2 C 4,-1 D -2,-3

Naddik [55]

For this, simply find the width and length by finding the distance between the two points. This can be done using the equation $\sqrt{(y2 - y1)^2 + (x2 - x1)^2}$

AB(length): $\sqrt{(0 - 2)^2 + (3 - (-3))^2}$

--> $\sqrt{-2^2 + 6^2}$

---> $\sqrt{40}$ = 6.32

BC(width): $\sqrt{(2 - (-1))^2 + (4 - 3)^2$

--> $\sqrt{(2 + 1)^2 + 1^2}$

---> $\sqrt{27 + 1}$

----> $\sqrt{28}$ = 5.29 ≈ 5.3

Area = 33.496 ≈ 33.5

7 0

3 years ago

Which of these is an example of a random sample?

statuscvo [17]

Answer:

The random sample is D. The other 3 cannot be taken as random since they involve groups at a specific place or doing a specific thing.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw

vovikov84 [41]

Answer:

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Step-by-step explanation:

Let the total no. of adults who saw the move be x

Let the total no. of child who saw the move be y

Given that the total number of adults (a) and children (c) who saw a movie was 35

thus. x + y = 35

cost of ticket for 1 adult = $6

cost of ticket for 1*x adult = $6*x = $6x

cost of ticket for x adult = $6x

cost of ticket for 1 child = $1

cost of ticket for 1*y child = $1*y = $y

cost of ticket for y child = $y

Total cost for x adult and y child = $(6x+y) _______(2)

Given that he total money collected was $70

Thus, we have two equations

6x+y = 70 -------(1)

x + y = 35

y = 35 - x (using this value of y in equation 1 we have)

6x + 35 - x = 70

=> 5x = 70 -35 = 35

=> x = 35/5 = 7

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

5 0

3 years ago

a recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, 1 cup of sugar, and 2 cups of chocolate chips.

Contact [7]

Just divide the entire recipe by 3. Then multiply by 2. 2 cups flower, 2/3 cups sugar, 1 and 1/3 cup chocolate chips.

7 0

3 years ago