Use the given conditions to find the exact value of the expression.

Use The Given Conditions To Find The Exact Value Of The Expression.

Answers

Answer 1

9514 1404 393

Answer:

  (7 -24√3)/50 = 0.14 -0.48√3

Step-by-step explanation:

Sine is negative and cosine is positive in the 4th quadrant, so ...

  sin(α) = -√(1 -cos(α)²) = -√(1 -576/625) = -7/25

Then the cosine of the angle sum is ...

  cos(α +5π/6) = cos(α)cos(5π/6) -sin(α)sin(5π/6)

  = (24/25)(-√3/2) -(-7/25)(1/2)

  = (7 -24√3)/50 = 0.14 -0.48√3


Related Questions

can someone help me with this and can someone tell me what operation it is

Answers

Answer:

12.78

Step-by-step explanation:

63.65 divided by 5 = 12.7

Answer:

Equation:63.65÷5=12.73

A)$12.73

Step-by-step explanation:

Division is this symbol ÷

Your problem directly states to divide the amount in money by the amount of children

Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?

Select one:
A. 28
B. 34
C. 43
D. 56

Answers

Answer:

A. 28

Step-by-step explanation:

A. 28

step 1.

We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.

step 2.

Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.

step 3.

Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.

A checking account is overdrawn if it has a
negative balance. Marc's account is overdrawn by
$45. What will the balance be after he deposits
$170 and writes a check for $59?

Answers

Answer:

64.

Step-by-step explanation:

170 - 59 = 109

109 - 45 = 64

or do

59 + 45 = 104

104 - 170 = 64

Answer: it’s 66

Step-by-step explanation:

What is bigger 1.40 or 1.42

Answers

Answer:

1.42

Step-by-step explanation:

compute the sum of the first 40 positive multiples of 3

Answers

Answer:

fvhfbevhebeo

Step-by-step explanation:

Answer: 2460

Step-by-step explanation: Used a calculator, and added from 3 x 1, since the answer is the first 40 positive multiples.

Another way is: 3 + 6 + 9 + ... + 120. There are 40 numbers, so 20 pairs of 123. 123 x 20 + 2460 :)

HOPE THIS HELPS <3

Which represents a function? Edge 2020.

Answers

The data set {(-8,-2),(-4,1),(0,-2),(2,3),(4,-4)} represents a function because for every distinct input x has only one output y, whereas all the other data sets have at least one point of x in which has two or more outputs of y.

A sample of 5 months of sales data provided the following information:

Month 1 2 3 4 5
Units Sold 97 120 88 97 93

Required:
a. Develop a point estimate of the population mean number of units sold per month (to 1 decimal).
b. Develop a point estimate of the population standard deviation (to 2 decimals).

Answers

Answer:

a. 99

b. 12.31

Step-by-step explanation:

a. Estimate of the population mean number of units sold per month

n = Number of Data Values = 5

Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 =  495

Sample Mean = X = Σxi/n = 495 / 5 = 99

The population mean number of units sold per month is 99

b. Estimate of the population standard deviation

Month    Data (x)     X    x - X    (x - X)^2

   1             97          99     -2         4

   2            120        99      21       441

   3             88         99      -11       121

   4             97         99      -2        4

   5             93         99      6         36

Sum of deviation squared          606

s^2 = Sample Variance = Σ(xi - X)2/(n - 1)

Sample Variance = 606/4 = 151.5

Sample Standard Deviation = √Sample Variance

Sample Standard Deviation = √151.5

Sample Standard Deviation = 12.30853362509117

Sample Standard Deviation = 12.31

The point estimate of the population standard deviation is 12.31

are sports important in our life why?​

Answers

Answer:

I think so yeah to keep a healthy lifestyle

Step-by-step explanation:

to get fit, and possibly lose weight

Answer:

Sports are a fundamental part of the lives of millions of men and women all over the world. Sports helps build talent and hobbies so that the people can be better at delivering them for personal and professional purposes. Sports also serve as a good leisure activity meant to relieve one from physical and emotional stress hence a healthy living.

Step-by-step explanation:

an integer divided from an integer is an integer

Answers

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:


Which graph shows a function whose inverse is also a function?

Answers

Answer:

the one that i take a screen shot

Answer:

the right answer is C

Step-by-step explanation:

edge2020

f (x) = (x + 1)(x - 3)(x - 4)

Answers

Answer:

f(x) = [tex]x^3-6x^{2} +5x+12[/tex]

zeros : -1,3,4

Step-by-step explanation:

Answer:

I solved for the function operation and got 4.53407019

Step-by-step explanation:

Hope this helps!! :)

Which expression is equivalent to 27 + 45? (1 point) 8(3+6) 8(19 + 37) 09(3 + 5) O 9(18 + 36)​

Answers

Answer:

9(3+5)

Step-by-step explanation:

My favorite pancake recipe

2 cups all purpose | plain flour, (290 g | 10 oz)

1/4 cup granulated sugar or sweetener, (60g | 2 oz)

4 teaspoons baking powder

1/4 teaspoon baking soda

1/2 teaspoon salt

1 3/4 cups milk, (440ml)

1/4 cup butter, (60g | 2 oz)

2 teaspoons pure vanilla extract

1 large egg

Combine everything in a bowl (separate wet and dry) and cook at medium low heat until it is brown and there are bubbles on top. Then serve with syrup. Good luck!!!

Answer: 8(3+6)

Step-by-step explanation:

I need help with this, Please explain to me this.

Answers

The answer is A because:
f(t)=x
T is the number of years since 1970 and x is the amount of million of barrels produced per day in the US

f(32)=6
32 years from 1970 is 2002
X=6
Therefore, 6 million barrels were made daily in the year 2002

Answer:

Ithink b

Step-by-step explanation:

because all of them are they dissimilar to the reason

Factor using the identity:
a3 + b3 = (a + b)(a? - ab + b2)
Z3+8

Answers

Is this by chance what you are looking for? I’m a little confused as to what you are asking lol

I had plugged z^3 + 8 into the (a^3 + b^3) and got that but I don’t wanna tell you this would be completely correct

Find the value of 6.8 +9.2

Answers

Answer:

16

Step-by-step explanation:

6.8

+9.2

______

16

Hope I helped!

Answer:

16

Step-by-step explanation:

A car is sold for $18,000. After one year, the value of the car is $9,900. Write an exponential function y to determine the value of
the car after x years if the rate of decrease is the same each year.
y =
Estimate the value of the car after 6 years. Round the answer to the nearest dollar.

Answers

Answer:

temperature and kinctic energy are related

i need points. hope you understand.

HELP I WILL MARK BRAINLIEST
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 1 cm

Answers


By the scale of 1:1000, it implies that ; 1cm on the map represents 1000 on actual ground.
So 2.5cm will represent 2.5×1000=2500

Can somebody help me and answer this I’ll give u thanks if ur right here’s the picture

Answers

Answer:

H

Step-by-step explanation:

The additive inverse property states that x-x=0, or x+(-x). The property that represents this is H.

Hope this helps plz mark brainliest :D

Write an equation that represents the following word problem.
Jackie has four more apples than Mark and together they have twelve apples. How many apples do each Jackie and Mark have?
a + (a - 4) = 12
a + (a + 4) = 12
both of these would work
neither of these would work

Answers

Answer:

Both would work.

Step-by-step explanation:

If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!

Answer:

both

Step-by-step explanation:

I got it right on the quiz

What is the y-intercept of the function fx) = -2/9x + 1/3
O -2/9
O- -1/3
O- 1/3
O-2/9

Answers

Answer:

Step-by-step explanation:

The answer is 1/3

Is the percentage illumination of the moon's surface a linear function of the day

Answers

Answer:

No (The linear model did a very bad job of approximating the data.)

I am so sorry if this in incorrect.

The percentage illumination of the moon's surface is not a linear function of day

How to determine the true statement?

From the complete question, the dataset can be represented using the following table:

Days   Percentage Illumination

1           2%

2          6%

3          50%

4          100%

Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals

This means that the percentage illumination is not a linear function of day

Read more about linear functions at:

https://brainly.com/question/14323743

#SPJ2

What is the value of x in the equation *x - y = 30, when y = 15?
4.
ООО
8
80
200

Answers

Answer:

45

Step-by-step explanation:

[tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15

So, I guess you are just messed up with the Xs and Ys.

And I'm not sure what is the 4. ООО  8  80  200 about but here is my guess :

So [tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15.

First step, substitute the [tex]y[/tex] into the equation [tex]x[/tex] - .

So, it would be

[tex]x[/tex] - 15 = 30.

Now, we need the value of [tex]x[/tex].

[tex]x[/tex] - 15 = 30

Group the terms together :

[tex]x[/tex] - 15 ( +15 ) = 30 ( +15 )

So, [tex]x[/tex] would be equals to 30 + 15. And in other words, it would be 45.

So :

[tex]x[/tex] = 45.

Wanna check whether my answer's correct?

Substitute [tex]x[/tex] into [tex]x[/tex] - 15 = 30

That would be :

45 - 15 = 30

So is 45 - 15 = 30?

Yep.

So 45 is the answer.

The value of X is 45.

HOPE THIS ANSWER HELPED :)

An airplane travels 550 miles from North Carolina to Tennessee in 90 minutes. At this rate, how many minutes will it take the airplane to travel 6,600 miles?

Answers

Answer:

It will take 1,080 min or 18 hours

Step-by-step explanation:

Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too

which graph represents the function h(x)=2sin(x+pi/2)-1 ?

Answers

This graph represents the function h(x)=2sin(x+π/2)-1.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

This graph represents the function h(x)=2sin(x+π/2)-1.

The range is the set of values that correspond with the domain.

Domain of graph: (−∞,∞),{x|x∈R}

Range of graph: [−3,1],{y|−3≤y≤1}

Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.

Amplitude: 2

Period: 2π

Phase Shift: −π/2 (π/2 to the left)

Vertical Shift: −1

Learn more about graph

brainly.com/question/16608196

#SPJ2

helpppppp meeee!!!!!!!

Answers

Answer:

IT>RT>RI

Step-by-step explanation:

sin72°>sin67°>sin41°

A flag measures 150 feet by 75 feet. Find its area​

Answers

Area = length x width

Area = 150 x 75

Area = 11,250 square feet

Answer:

11,250 ft

[tex] {?}^{2} [/tex]

Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.
Given: ∠CDE ≅ ∠CED, ∠A ≅ ∠B, Prove: DE ∥ AB

Answers

Answer:

angle E equals angle B and angle D equals angle a which means they are parallel bc angle c is the same for both

Step-by-step explanation:

Shannon is paid £1150 a month after deductions.

What is her net annual salary? (A year = 12 months)

Answers

Answer:

I think that answer is 13800

Step-by-step explanation:

Two math questions


Among all pairs of numbers whose sum is 14​, find a pair whose product is as large as possible. What is the maximum​ product?
The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.
​(Use a comma to separate​ answers.)
The maximum product is nothing.

and

- refer to picture

Answers

Question is not clear

A company charges 59.99 for cable TV and 49.99 per month for basic cable service How much will it cost for installation and one year of basic cable service

Answers

59.99 + 49.99(12)

49.99(12) = 599.98

599.88 + 59.99 = 659.87

It will cost $659.87.
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