An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices

a 3[sin (130 + 15)] t

b 3[sin (45 + 45)] t

c 3[sin (180 - 45)] t

d 3[sin (90 + 60)] t

Answers

Answer 1

The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t

Since the alternating current i in amperes after t seconds is i = 3(sin150)t.

We want to write 150 as the sum of two angles measures.

So, 150 = 90 + 60.

So, the current i = 3(sin150)t

i = 3[sin(90 + 60)]t

So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t

Learn more about sum of two angles here:

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Related Questions

Pls help brainiest to the correct answer!

Answers

Answer:

a) 9, b) 87, c) - 2, d) - 9

Step-by-step explanation:

a) - 2 * (- 4.5) = 9b) (- 8.7) * (- 10) = 87c) (- 7) * (-2) = 14d) (- 9) * (- 10) = 90

#a

[tex]\\ \sf{:}\dashrightarrow -2(-4.5)=9.0[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow (-8.7)(-10)=8.7[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow (-7)(-2)=14[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow (-9)(-10)=90[/tex]

need assistance with alegbra 2

Answers

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

f(x)=(x-2)^2+1

A grocery store charges $5 for every 3 1/4 pounds of furit. Eleizibeth has 9 3/4 pounds of fruit in her grocery cart. How much will Elizabeth have to pay to purchase the fruit?
Sorry for the spelling :)

Answers

Answer:

15 dollars

Step-by-step explanation:

because f it 9 3/4 and it 5 dollars for every 3 1/4  its like multiplying 3 to 3 1/4 so 15 dollars  :(:

(sin^2(0)) I really need help with this asap

Answers

Answer:

Asapa

[tex] (sin2(0) [/tex]

what is 3 3/5 - 6 1/7

Answers

-89/35 = -2 19/35

3 3/5 - 6 1/7
18/5 - 43/7
= -89/35
= -2 19/35

Will give BRAINLIEST

Answers

Answer:

It is the yellow square

Step-by-step explanation:

The purple one is in the second quadrant

The green one is in the third quadrant

The blue one is in the forth quadrant

Maigan spends her summer working at as a
camp counselor. She makes $1800 and
wants to use it to buy a new phone. The
phone she wants will cost $50 per month.
Write an equation that represents the
relationship between total money left, T and
months, m.

Answers

Based on the amount Maigan makes and the amount she spends on the phone per month, the relevant equation using the mentioned variables will be "T = 1,800 - 50m"

Maigan makes $1,800 and this is the source of the cost of the phone.

If she pays $50 per month, the relevant equation to find out the amount of money she would be left with after a number of months is:

= Amount started with - Amount spent per month x number of months

This can be written as:

T = 1,800 - 50 x m

T = 1,800 - 50m

In conclusion, the relevant equation would be T = 1,800 - 50m.

Find out more on forming equations at https://brainly.com/question/4681624.

Please help me! I’m failing!!!

Answers

a. If G(t) = a (1 + r)ᵗ, then G(0) = a corresponds to the starting area of the glacier, which is given to be 142 acres. So a = 142.

The area of the glacier shrinks by 4.4% each year. This means that after 1 year, the area is reduced to

142 - (4.4% of 142) = 142 (1 - 0.044) ≈ 135.75 acres

After another year,

135.75 - (4.4% of 135.75) = 135.75 (1 - 0.044) ≈ 129.78 acres

or equivalently, 142 (1 - 0.044)² acres.

And so on. After t years, the glacier would have an area of

G(t) = 142 (1 - 0.044)ᵗ   ⇒   G(t) = 142 × 0.956ᵗ

b. If the year 2007 corresponds to t = 0, then 2012 refers to t = 5. Then the area of the glacier is

G(5) = 142 × 0.956⁵   ⇒   G(5) ≈ 113.39 acres

c. Simply take the difference between G(5) and G(0) :

G(5) - G(0) ≈ 142 - 113.39 ≈ 28.61 acres

d. The average rate of change of G(t) from 2007 to 2012 is given by the difference quotient of G(t) over the interval 0 ≤ t ≤ 5 :

[tex]ARC_{[2007,2012]} = \dfrac{G(5) - G(0)}{5 - 0} \approx \dfrac{113.39 - 142}5[/tex]

so that ARC ≈ -5.72 acres/year. This rate tells us that a little less than 6 acres of glacial ice is lost each year, based on the reduction over the first 5 years.

e. The year 2017 refers to t = 10, so now we compute

[tex]ARC_{[2012,2017]} = \dfrac{G(10) - G(5)}{10 - 5} \approx \dfrac{90.55-113.39}5[/tex]

which comes out to about ARC ≈ -4.57 acres/year. Since this rate is smaller than the ARC between 2007 and 2012, this means that the glacial ice is disappearing at a slower rate in later years.

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

(-5,-2),(-7,r) if m=5/9 what is r? slope

Answers

Answer:

r = -28/9

Step-by-step explanation:

use slope formula of (y₂-y₁) / (x₂-x₁)

5/9 = [r - (-2)] / [-7 - (-5)]

5/9 = (r+2) /-2

cross-multiply to get:

-2(5) = 9(r+2)

-10 = 9r + 18

-28 = 9r

r = -28/9

Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?

Answers

Answer:

good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer

The son solved 40 problems correctly out of the 60 problems he attempted.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's denote the number of problems the son solved correctly by "x".

According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.

Now,

Total earnings = 1 euro (x) - 0.5 euros (60 - x)

Simplifying this expression.

Total earnings = 1.5x - 30

We are given that the son won 30 euros in total, so we can set up the equation:

30 = 1.5x - 30

Solving for x.

1.5x = 60

x = 40

Therefore,

The son solved 40 problems correctly out of the 60 problems he attempted.

Learn more about expressions here:

https://brainly.com/question/3118662


#SPJ2

The complete question.

A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?

jill spent $215.70 on books. math books cost $28.50 and english books cost 21.70. if she bought a total of 9 then how many of each kind did she buy

Answers

Jill bought 3 Math books and 6 English books.

What is the result of 3 divided by three-fifths?

Answers

[tex]\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5[/tex]

Answer:

5

Step-by-step explanation:

3 -> [tex]\frac{3}{1}[/tex]

Method is "Keep, Change, Flip"

[tex]\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


Can someone plzzzz help you have to enter the answer like this:26 but that is not the answer

Answers

Answer:

84 cm²

Step-by-step explanation:

Total surface consists of 2 right triangles and 3 rectangles.

Sum of their areas is the total surface area.

Area of 2 triangles:

A = 2*(1/2)*4*3 = 12 cm²

Area of 3 rectangles:

A = 6*(3 + 4 + 5) = 6*12 = 72 cm²

Total surface area:

S = 12 + 72 = 84 cm²

Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?​

Answers

each class will get about 37 pizzas

can someone help me with this

Answers

Answer:

equation: (4x +8)° = (2x +3)° +51°exterior angle: 100°

Step-by-step explanation:

The relevant relation is "the exterior angle is equal to the sum of the remote interior angles." That means ...

  (4x +8)° = (2x +3)° +51° . . . equation to solve for x

  2x = 46 . . . . . . . . . . . . . divide by °, subtract 8+2x

  x = 23 . . . . . . . . . . . . divide by 2

Then the exterior angle is ...

  (4x +8)° = (4(23) +8)° = 100°

_____

Additional comment

Instead of solving for x, we can solve for (2x+3). We can do that by subtracting 5+2x from both sides to get 2x+3 = 49. Then the exterior angle is the sum 49+51 = 100 degrees. (We don't actually care about the value of x.)

Definition of Variable and Constant with examples!
Spam free answers required!​

Answers

Answer:

[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

help me please .
Ester purchased a used car, a Ford Focus, for $8400. The car is expected to decrease in value by 20% per year over the next couple of years.


At this rate, what can Ester expect the approximate value of the car to be after 6 years?


Question 6 options:


$1,409



$2,202



$4,200



$1,762

Answers

Answer:

$2,202

Step-by-step explanation:

If the car decreases in value 20% per year, that means that the car is only worth 80% of its value for the next year.

80% can be written as .80.

Multiply the value of the car by .80 6 times.

8400 multiplied by .80 = 6720

6720 multiplied by .80 = 5376

repeat this sequence 4 more times to come to an answer of 2,202

Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work

Answers

Answer:   x = 19.7  (choice C)

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

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

Which expression is equivalent to (5^3)-2

Answers

Answer:

D)

Step-by-step explanation:

In AWXY, WY is extended through point Y to point Z, mZYWX = (20 + 12)",
,
mZWXY
(2x + 5)", and m_XYZ = (7x - 1). What is the value of x?

Answers

2x+7=yxz hope this help i was confused

What is the equation of the line that is parallel to the
given line and passes through the point (-3,2)

Answers

Answer:

Step-by-step explanation:

A parallel line will have the same slope as the reference line.  In this case, I don't see the "given line" as promised in the question.  If it does appear, and it looks like y = 5x + 3, for example, the slope is 5 and the new line will have the same slope.

If this slope is correct, we can start the equation for the parallel line that goes through point (-3,2) by starting with:y = 5x + bWe need a value of b that forces the line to go through point (-3,2).  We can do that by using the given point in the equation and solving for b:y = 5x + b2 = 5(-3) + bb = 17The parallel line to y=5x+3 isy = 5x + 17See attachment.

urgent !!
<1 and <5 are what kind of angles

Answers

Answer:

Obtuse Angles are

1, 3, 5, 7, 9, 11

Acute angles are

2, 4, 6, 8, 10, 12

Step-by-step explanation:

The surface of an office desk has a perimeter of 12 feet and an area of 8 square feet. What are the dimensions of the desk?

____feet by ___feet
HELP ME PLEASEE!

Answers

Answer:

4 feet by 2 feet ig? am not quit sure

Step-by-step explanation:

we say that length=x width=y

2(x+y)=12

xy=8   x=8/y

2(8/y + y)=12

8/y+y^2=6y

y^2-6y+8=0

(y-2)(y-4), so y=2 y=4

then we input this two numbers in xy=8

so, x=4 x=2

1, y=2   x=4

2, y=4   x=2

most likely the lengths is going to be 4 so that means the width is going to be 2.

Depends. Answer can be 12 by 8 or 6 by 4

calculate average or arthmetic mean

Answers

Answer:

mean/average is calculated by adding all of the values and dividing by the number of values

ur welcome queen besitie slay

Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total cost, c, to ship p pounds of stuffed animals. Use your equation to determine the cost of shipping 2 pounds of stuffed animals. (6 points) Part B: If the company reduces the cost to ship the stuffed animals by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of stuffed animals with the reduced cost. (4 points)

Answers

Part A :

Rate of shipping per pound of stuffed animal = $0.75

Therefore total cost for P pounds = C = 0.75 P

Cost of shipping 2 pounds of stuffed animals = 0.75*2 = $1.50

Part B :

If the cost is reduced by $0.05 per pound then the reduced cost per pound = 0.75 - 0.05 = $0.70

Therefore total reduced cost for P pounds = C = 0.70 P

Answer:

i think the person on top of me is correct :)

Step-by-step explanation:

What percent of 80 is 10?

Carrie is driving to a friend’s house for the weekend. The friend lives in a town 160 mi. away. So far, Carrie has driven 64 mi. What percent of the drive does she have left?

Answers

Answer:

12.5% and 60%

Step-by-step explanation:

0.125 x 80 = 10

160-64 = 96

96/160 = 0.6

0.6 x 100 = 60%

Please help me y’all.

Answers

Step-by-step explanation:

6 > 4x - 5

Bringing like terms on one side

6 + 5 > 4x

11 > 4x

11/4 > x

Option none is the correct answer

2.48 rounded to the nearest hundredth pl

Answers

Answer:

2.50

Step-by-step explanation:

2.50 might be the answer

Determine whether the relation is a function. (8, 5), (6, "-2)," (4,-9), (2, "-6)," (4,7)
Yes Or No

Answers

Answer: No

Step-by-step explanation:

Because 4 is used 2 times in the x coordinates it is NOT a function

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