4cos45°-2sin45°. Please let me know the answer with thorough steps.

Answers

Answer 1

We know that cos(45) = sin(45) = √2/2.

Substituting these values, we can simplify the expression as follows:

4cos(45) - 2sin(45)

= 4(√2/2) - 2(√2/2) (substituting cos(45) and sin(45) values)

= 2√2 - √2

= √2

Therefore, the answer is √2.


Related Questions

Evaluate the given expression for x=5

Evaluate the given expression for x=5

Answers

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m

Answers

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

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find the value of x & y ( SHOW YOUR WORK ) !!!

find the value of x & y ( SHOW YOUR WORK ) !!!

Answers

Answer:

Step-by-step explanation:

<A = <E corresponding parts of 2 geometric figures are =

60 + 8x = 108                    Subtract 60 from both sides

8x = 108 - 60                     Combine

8x = 48                              Divide by 8

8x/8 = 48/8                      

x = 6

< C    = <G                corresponding parts of 2 geometric figures are =

8y - 3x = 62              Use x = 6 from the previous problem

8y - 3*6 = 62             Combine

8y - 18 = 62               Add 18 to both sides

8y = 62 + 18               Combine

8y = 80                       Divide by 8

8y/8 = 80/8

y = 10

PLEASE HELP!!! ASAP!! FIND THE DOMAIN AND RANGE OF THEESE GRAPHS

PLEASE HELP!!! ASAP!! FIND THE DOMAIN AND RANGE OF THEESE GRAPHS

Answers

Answer:

Domain: [-2, infinity)

Range: [-4, infinity)

Step-by-step explanation:

There's only one graph I see.

Domain is how far the graph extends on the x axis.

Range is how far the graph extends on the y axis.

Round 66.3899872389 to the nearest thousandth.

Answers

Answer:

66.390

Step-by-step explanation: 66.389 the 9 is thousandths, it rounds up to 66.390

PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
A regular polygon has 12 sides. If one of its angles measures (8h − 30)°, what is the value of h?

h = 10.75
h = 18.75
h = 20.25
h = 22.5

Answers

Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

8h - 30 = 150

2. Add 30 one each side to cancel out and only leave 8h.

8h = 180

3. To get rid of the 8 we divide the the other side by 8.

h = 22.5

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

The table shows the number of blue marbles and red marbles that four friends have collected,
Blue and Red Marbles
Blue Red
Jasmine 12
10
Aaron
3
2
Lucian
10
10
Gretchen 14
2
Which person has the lowest ratio of blue to red marbles?
Jasmine
Aaron
Lucian
Gretchen

The table shows the number of blue marbles and red marbles that four friends have collected,Blue and

Answers

The lowest ratio is Lucian

Answer:

C

Step-by-step explanation:

plz answer this i will marku pleeeeeeeeeezz​

plz answer this i will marku pleeeeeeeeeezz

Answers

Answer:

x= 105 also because it's a z angle

y= 180-105

=75

x=z which is 105, because they are alternative angles.

The given angle of 105 and angle z are consecutive interior angles and need to equal 180 degrees.

Z = 180-105 = 75 degrees

Angle z and angle c are vertical angles and are identical so angle x also equals 75 degrees

Angle y and 105 are supplementary angles and when added equal 180

Angle y is 180-105 = 75

X, y and z are all 75 degrees

Sunita performed a transformation on trapezoid LMNQ to create L'M'N'Q', as shown
in the figure below:

What transformation did Sunita perform to create LMMQ?

1 rotation of 90 counterclockwise of the origin
2rotation of 270 counterclockwise of the origin
3 reflection across the xaxis
4reflection across the line of symmetry of the figure

Sunita performed a transformation on trapezoid LMNQ to create L'M'N'Q', as shownin the figure below:What

Answers

Answer: rotation of 90 counter clockwise about the origin

Step-by-step explanation:

Add the polynomials (-4x^3 + x^2y - xy^2), (3x^3 - xy^2 + 5x^2y) and (7xy^2 + 3y^3)

Answers

Answer:

4x³+x²

Step-by-step explanation:

to I was awesome and u too go to north and u too go home with he sister or talk

Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.

Answers

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Solve for the value of T

Solve for the value of T

Answers

Step-by-step explanation:

4t - 7 + 83 = 180

4t + 76 = 180

4t = 104

t = 26

list the reactants when limestone reacts to produce calcium chloride,water and carbondioxide

Answers

Answer:

The completed reaction is

CaCO3 + 2 HCl → (Ca+2 + 2 Cl-)aq + H2O + CO2↑

Right triangle JKL is inscribed in circle N. Find the area of the shaded region.
Round your answer to the nearest tenth if necessary.
K
N
40
9
ou
Answer:
units^2
Can anyone help please
Submit Answer

Right triangle JKL is inscribed in circle N. Find the area of the shaded region.Round your answer to

Answers

Answer:

1272.2 units²

Step-by-step explanation:

This problem requires several steps.

1. The shaded area is the area of the circle minus the area of the triangle.

2. The area of the circle can be found using the radius. We are not given the radius, but using the right triangle, we can fond the diameter. Then the radius is half of the diameter.

3. The area of the triangle is base × height / 2. The base and the height are the given lengths of the legs.

Let's use the Pythagorean theorem with the triangle to find the diameter. The diameter is the hypotenuse of the right triangle.

a² + b² = c²

40² + 9² = c²

1600 + 81 = c²

c² = 1681

c = √1681

c = 41

The diameter of the circle is 41.

radius = diameter/2 = 41/2 = 21.5

The radius of the circle is 21.5

shaded area = area of circle - area of triangle

area of circle = πr²

area of triangle = bh/2

shaded area = πr² - bh/2

shaded area = (3.14159)(21.5)² - (40)(9)/2

shaded area = 1452.2 - 180

shaded area = 1272.2 units²

given the function f, find f(-3) f(x)=8x-1/3x+2

Answers

F is equal to 8x have a good day ;) 5bvuieiowoqndnfb

The other letter to the left is X btw PLS HELP

The other letter to the left is X btw PLS HELP

Answers

Answer:

probably D

Step-by-step explanation:

answer: D

34+26=60
180-60=120

A medium soft serve costs $0.56 per ounce.
If a medium is 6.5 ounces, how much does it cost?
Help quick

Answers

Using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. This method allows us to calculate both the value of many units from the value of one unit and the value of one unit from the value of many units. In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or fewer quantities are then determined. This method is known as the unitary method for this reason.

Given,

The cost of an ounce of medium soft serve = $0.56

The amount of soft serve in a medium size  = 6.5 ounces

We are asked to find the cost of the total amount of soft serve in a medium size.

This can be done using the unitary method.

If 1 ounce = $0.56

Then for 6.5 ounces, the cost is = 6.5 * 0.56 = $3.64

Therefore using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.

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Please indicate which is the best answer to complete the figure below.

Please indicate which is the best answer to complete the figure below.

Answers

Answer:

Step-by-step explanation:

B because after having the star and the circle comes the square.

As the guest was sneaking away, the groundskeeper was 4 feet (or 48 inches) away and pushed an 84-inch ladder onto the suspect. The very top of the ladder hit the guest on the top of the head. Find the height of the guest in inches the convert to feet.

Answers

The height of the guest in inches will be 68.93 and in feet is 5.7.

What is the Pythagorean theorem?

It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

By applying the Pythagorean theorem:-

P²  =  H²  - B²

P²  = 84²  -   48²

P²  =  4725

P = √4725

P = 68.73 inches

Now the height in feet will be 68.73  /  12  = 5.7 feet.

Therefore the height of the guest in inches will be 68.93 and in feet is 5.7.

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Question 10
A car park has 880 parking spaces.
Some of the spaces are reserved.
The ratio of reserved spaces: not reserved spaces = 1:10.
Work out the number of spaces that are not reserved.

Answers

The answer to this question is 80

Step-by-step explanation:

work he in a department store

what does frilling mean

Answers

Answer:

A ruffled, gathered, or pleated border or projection, such as a fabric edge used to trim clothing.

Step-by-step explanation:

Brainlest, Please!

what does frilling mean

A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.

Use the four-step P-value approach and test the claim that the salaries from both universities are equal.

Answers

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

Look at this triangle.
B
8 cm
A А
22 cm
С
Work out length AB.

Answers

Answer:

Can your provide a picture ??

Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.

Answers

The frequency of the class 86-89 is 1/3.The frequency of the class 90-93 is 2/5.The frequency of the class 94-97 is 4/15.This means that a total of 15 dormancy periods were recorded.

How to calculate a probability?

The parameters that are needed to calculate a probability are listed as follows:

Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.

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Use the histogram to answer the following questions.FrequencyThe frequency of the class 90-93 isThe frequency

Jayda is older than her 12-year-old sister. Write an inequality for j, Jayda's age.

Answers

The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.

Let j represent Jayda's age.

Since Jayda is older than her 12-year-old sister, we can write the inequality:

j > 12

Thus, the inequality states that Jayda's age (j) is greater than 12.

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What will be the answer?

What will be the answer?

Answers

The last row is found by adding the first 2 rows and subtracting the third row for each colum.


last number = 7 + 6 = 13-8 =5


answer: 5

Will someone be able to help me with this math problem, the picture is down below. Please help

Will someone be able to help me with this math problem, the picture is down below. Please help

Answers

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

What is a dilation transformation?

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Please Help
8x + 1
115⁰

Please Help 8x + 1115

Answers

(8x+1) + (115°) = 180°

180-115=65
8x+1=65
(remove the +1 by -1 from both sides)
8x=64
(remove the 8• by dividing by 8 on each side)
64/8
x=8


ANSWER: x=8

what is the solution to 5(4x-1.5x)+12-2

Answers

Answer:

12.5x+10

Step-by-step explanation:

I'm assuming that you want to simplify this, because there is no equal sign.

If you want to simplify, first combine like terms.

First solve the first half of the equation: 20x-7.5x=12.5x

Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.

That's your answer: 12.5x+10

Answer:

x = 0.8

Step-by-step explanation:

Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.

First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.

Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.

Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is

x = 0.8

A = c/f
B = e/d

Given the relationship above, what is the
ratio of A to B in terms of c, d, e, f?

E. cf/ed
F. ce/df
G. cd/ef
H. ef/cd

Answers

Answer: green

Step-by-step explanation:

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