What is cos45degrees? work shown please

Answers

Answer 1

Answer: [tex]\dfrac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

The value of [tex]\cos 45^{\circ}[/tex] is the fixed value i.e. [tex]\frac{1}{\sqrt{2}}[/tex]

The values of cosine changes from a maximum at [tex]0^{\circ}[/tex] to a minimum at [tex]180^{\circ}[/tex]

for example, [tex]\cos 0^{\circ}=1, \quad \cos 90^{\circ}=0,\quad \cos 180^{\circ}=-1[/tex]


Related Questions

You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?

Answers

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

Write this expression in the fewest number of terms: x+3y+2x+10+2y+12

Answers

Answer:

3x+5y+22

Step-by-step explanation:

Answer:

3x + 5y + 22

Step-by-step explanation:

Given expression:- x + 3y + 2x + 10 + 2y + 12

Here, you can add all the 'x' terms together and 'y' terms together.

There is an 'x' and '2x'.

On adding them, you get 2x + x equals 3x.

Then add the 'y' terms

There is a '3y' and a '2y'. On adding them, you get 3y + 2y equals 5y.

Then add the numbers that are left. 12 and 10.

12 + 10 equals 22.

Then take all the values we got after addition:- 3x, 5y and 22.

2x, 5y and 22 cannot be added together. So, the expression in the simplified form would be:-

3x + 5y + 22

The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.

from What height is the beach ball thrown? explain or show your reasoning

Answers

2 ft

Step-by-step explanation:

The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get

y = [-16(0) - 2](0 - 1)

= (-2)(-1)

= 2 ft

Therefore, the ball was thrown from a height of 2 ft.

Pls help me I have 5 min to do this!!!! PLS PLS PLS PLS PLS NO LINKS!!!! I can’t open them just pls give me the answer idc how you got it LOL. Pls help like real people help :(

Answers

Answer:

P(-8,6), Q(-5,2), R(2,1)

Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?

Answers

The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².

The solutions to the equation is x = -9 + √89 or x = -9 - √89.

What is a quadratic equation?

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 6 = 2 - 18x

x² + 18x = 8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 18x + (18/2)² = 8 + (18/2)²

x² + 18x + 81 = 8 + 81

Part 2.

x² + 18x + 81 = 89

x² + 9x + 9x + 81 = 89

x(x + 9) + 9(x + 9) = 89

(x + 9)(x + 9) = 89

x = -9 + √89 or x = -9 - √89.

Read more on quadratic functions here: brainly.com/question/14201243

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Six people share 3/8 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.​

Answers

answer=1/4

explanation ; 6divided by 3/8=0.25    which is equal to 25/100 or 25 divides 25 once and divides 100  4 times giving 1/4

The answer isn’t 1/4 because 3/8 is 0.375

Help me with this math function below!!

Answers

The answer is 6 . Why because 6 -12 =-6
The answer fir the second question mark is -22 . Why because -10-12 =-22

Jane is opening a savings account with an initial deposit of $100. The bank offers a 5%
rate compounded annually. What is the value of the savings account after 1 year?

Answers

Answer:

105 dollars after a year

Step-by-step explanation:

I = (100)(0.05)(1)

I = 5

SOMEONE PLEASE HELP !!

Answers

Answer:

you would have to add them together

Step-by-step explanation:

you add 9pi cm^2 to 1/4

hop this helps kid

Answer:

The radius is 199.85 cm^3

of the pie.
If a person has eaten 2 out of 4 equal pieces of pie, then they have eaten
A. 1/2
B. 1/4
C. 1/3
D. 2/3

Answers

1/2
2/4 simplifies is 1/2

Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet

Answers

where’s the two right rectangular prisms?

Answer:

I cannot tell you the answer because there isn't adequate information.

But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)

If there are 4 outcomes, what is the
probability that I get tails then tails?

Answers

Answer:

50%

Step-by-step explanation:

because it is a two side coin

Please help me and show working. I have a test very soon.

Answers

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
Researchers fed mice a specific amount of Aldrin, a poisonous pesticide, and studied their nervous systems to find out why Aldrin causes convulsions. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for five mice were 2.1, 2.3, 2.3, 2.4, and 2.5.

Part A: Find the mean refractory period and the standard error of the mean. (2 points)

Part B: Calculate a 95% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. (4 points)

Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 2.1 milliseconds. Aldrin poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning. (4 points)

Answers

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

Type the expression that results from the following series
of steps:
Start with x and multiply by itself.

Answers

Answer: x^2 (the ^ represents that the next number is an exponent)

Step-by-step explanation:

Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.

Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.

Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.

Answers

Answer:

Step-by-step explanation:

Tyler's square is going to be 60 feet on each side. That is 3600 square feet.

Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.

A is wrong. A square maximizes the area.

B is correct.

C The areas are not the same. C is wrong.

D is wrong. Both fence proposals work.

Answer:

B is correct

Explanation:

Tyler's square is going to be 60 feet on each side. That is 3600 square feet.

Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.

Hope this helps! :)

help pls i can give brainliest?
Identify the solution to the system of equations.

Answers

It would be (2,2) because it’s the point where the two equations intersect.

sooo my sis need this so plz help

Answers

Answer:

A. They are both Solutions

Step-by-step explanation:

Answer:

Both are solutions

Step-by-step explanation:

5x8 is less than 52, and so is 5x10

Please help:)
this worth 100 POINTS!!

Answers

Answer:

I think the second answer

Step-by-step explanation:

I'm late but it's the second answer!

Complete the missing parts of the table for the following function. y=7x​

Answers

Answers:   49,   1,   49

Those values go in the blanks from left to right

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

Explanation:

The rule we use is x^(-k) = 1/(x^k)

That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.

Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.

Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.

Lastly, 7^2 = 7*7 = 49 will go in the third box.


Find the rate of change from the table.

Answers

Answer:   15

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

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

Which polynomial represents (3x2 + x - 4)(2x - 5)?

A.6x3 + 13x2 + 3x - 20

B.6x3 - 13x2 - 13x + 20

C.6x3 + 13x2 + 3x + 20

D6x3 - 13x2 - 13x - 20

Answers

D and I hope this helps

The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]

Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

Learn more about polynomial functions here:

https://brainly.com/question/12976257

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I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
shortest distance run to the longest distance run.
2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
the temperature was 10' F, so Michael said that the temperature had gone up
7 degrees. Is he correct? Explain why or why not.
--3

Answers

Answer:

lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb

Step-by-step explanation:

Re-write the quadratic function below in Standard Form
y = 5(x - 5)(x - 4)

Answers

Y=5x^2-45x+100



Hope this help y’all and y’all welcome

1
What is the solution to the equation 4
1 7 1
8 8*3*?
X=-5
X=-4
X=4
x=5

Answers

Answer:

im sorry

Step-by-step explanation:

i need points or else i fail

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
y =

Answers

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-1, 4) and (0, 2)

[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]

Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept

[tex]y=-2x+b[/tex]

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

[tex]y=-2x+2[/tex]

I hope this helps!

Please help, If you can't help that is fine but if you can it would be appreciated :)

Answers

Answer:

the answer is B

Step-by-step explanation:

-4 * box

and you know that is meant to be 8 so you have to ask what would x 4 and give you -8 so you do -8/-4 to give you 2 so that means you know that that is -4 * 2 which would give you - 8 then that will replace all the other missing box.

Explain how an equation is like a balanced hanger plzzz answer due today

Answers

A hanger stays balanced when the weights on both sides are equal.

An equation can be compared to a balanced hanger. We can change the equation, but for a true equation to remain true, the same thing must be done to both sides of the equal sign.

Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?

Answers

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Look at the image.

Step-by-step explanation:

(36 ÷ 4) - (36 ÷ 9)

9 - 4

5

(8 × 3) - 12 = 12

24 - 12

12

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