given that x is an acute angle and cos x equals to 2 root 5/5 find without using mathematical tables or a calculator tan (90 - x)​

Answer:

Hello, the multiplicative inverse is just another name for reciprocal. You can use this type of method when dividing fractions like:

1/2/3/5

You use the method known as kfc, keep, flip, change like this:

1/2 x 5/3

Notice how 1/2 is kept the same, the division sign is now a multiplying sign, and 3/5 is flipped.

And then you just answer it from there and you get 5/6

Step-by-step explanation:

I hope this helped you!

Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

Answer:

Third Side (Perpendicular side) = 7 inch

Step-by-step explanation:

Given:

First side (Base) = 24 inch

Second side (Diagonal/Hypotenuse side) = 25 inch

Find:

Third Side (Perpendicular side)

Computation:

Using Pythagorean theorem;

Perpendicular side = √Hypotenuse side² - Base²

Perpendicular side = √25² - 24²

Perpendicular side = √625 - 576

Perpendicular side = √49

Perpendicular side = 7 inch

Third Side (Perpendicular side) = 7 inch

Answer:

The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means while the standard deciation is the square root of the sum of the variances.

Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%.

This means that:

[tex]\mu_{C} = 17.84, s_{C} = \frac{3.06}{\sqrt{32}} = 0.541[/tex]

Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%.

This means that:

[tex]\mu_{NC} = 15.06, s_{NC} = \frac{1.89}{\sqrt{32}} = 0.3341[/tex]

Difference in average tips

The distribution has mean:

[tex]\mu = \mu_{C} - \mu_{NC} = 17.84 - 15.06 = 2.78[/tex]

Standard deviation:

[tex]s = \sqrt{s_{C}^2 + s_{NC}^2} = \sqrt{0.541^2 + 0.3341^2} = 0.6358[/tex]

96% confidence interval

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 2.054*0.6358 = 1.31[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.78% - 1.31% = 1.47%

The upper end of the interval is the sample mean added to M. So it is 2.78% + 1.31% = 4.09%

The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).

Answer:

First Blank (4) Second Blank (3)

Step-by-step explanation:

The square in the middle is the base and if you count the side units you will have 4 on each side. From the square the triangle points up 3 units on the graph.

Hope this helps : ) Mark Brainliest

Answer:

solution given:

volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³

volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=

0.125m³

total volume=V1+V2=0.378m³+0.125m³=0.503m³

0.503m³ is your answer

Answer:

there is nothing here but thanks for the points

Step-by-step explanation:

Have a great rest of your day/night!

Answer:

5 feet tall.

Step-by-step explanation:

So, it gives us the ratio of the Statue of Liberty

1 inch wide for each 61 feet tall.

Then it gives us the tallness of the actual thing:

305 feet tall.

To find out how wide it is, we should be able to divide 305 by 61.

305/61 is 5.

Answer:

34%

Step-by-step explanation:

99/150 = 0.66

1.00 - 0.66  = 0.34

34%

Answer:There is 48% of cans

Answer:

4.7ft

Step-by-step explanation:

Hello, the answer would be 4.7ft because 4.7^2 is closest to 22ft^2 with it being 22.09ft^2.

Answer:

A)  6x + 2πx

Step-by-step explanation:

left side of figure = 4x

top and bottom flat portion of figure = 2x

2 semi-circles with radius of x is equal to 1 full circle with diameter = 2xπ

distance around = 4x + 2x + 2xπ or 6x + 2πx

Answer:

x represents nickels = 2

3x represents number of quarters = 6

Step-by-step explanation:

x represents nickels

3x represents number of quarters

We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x

x(0.05) + 3x(0.25) = 1.60

0.05x + 0.75x = 1.60

0.80x = 1.60

x = 2 = number of nickels

So 3x = 6 = number of quarters

Checking the math:

2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60

Answer:

B

Step-by-step explanation:

i think

Answer:

on 32 and -32

Step-by-step explanation:

Answer:

Depends

Step-by-step explanation:

PS4 has a better gaming system and better games (Spiderman example)

But Xbox has the better controller. I think Xbox is better I prefer it but it doesn't really matter.

Answer: b

Step-by-step explanation:

Radius = 9 inches, Pi= 3.14

Circumference = 2 x pi x radius = 2 x (3.14) x 9 = 56.52

Area = pi x radius x radius = (3.14) x 9 x 9 = 254.34

Answer:

Answer attached

Step-by-step explanation:

Answer:

Step-by-step explanation:

where is the picture?

Answer:

you need a picture lol

Step-by-step explanation:

Answer:

The answer is 5.50.

Step-by-step explanation:

First, you do 4.25+3.00=7.25

Second, 20-7.25=12.75

but read the beggining again it says sean AND hope so repeat the step again.

First, you do 4.25+3.00=7.25

Second, 20-14.50=5.50

Answer:

5x-60=x - solution,..........

Answer:

Answer:

5x +60/x -15x +15/x-20

60/x+15/x-15x+5x-20

75/x-10x-20

is your answer

combined liked terms by adding and subtracting.

Answer:

45 degrees.

Step-by-step explanation:

When two angles are next to each other along a straight line, their sum = 180 degrees.

180 - 135 = 45

Answer:

I know i may be unwanted here but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Step-by-step explanation:

Answer:

number 12 is A for sure

Answer:

1970 +46%

1980 +232%

1990 +14%

2000 -8%

Step-by-step explanation:

Answer:

this is D

Step-by-step explanation:

Answer:

100%

Step-by-step explanation:

It is confirmed to happen, or [tex]\frac{100}{100}[/tex]

Answer:

An event that is guaranteed to happen has a probability of exactly 1

Answer:

H 60

Step-by-step explanation:

You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60

Answer:

6 dollars and 10 cents

Step-by-step explanation:

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!