What is the simplified form of cos ??

What Is The Simplified Form Of Cos ??

Answers

Answer 1

Answer:

[tex]\frac{\sqrt{2} }{2\\}[/tex]

Step-by-step explanation:

A triangle has a total of 180° (B is a 90° angle)

Take 180° - 90° to find the angle of A + C which equals 90°

take 90°/2 to get the angle of C which is 45°

and to check that take 45°+45°+90°= 180°

Now...

cos (C)

cos(45°) = [tex]\frac{\sqrt{2} }{2}[/tex] [Answer]

Please rate!!


Related Questions

Suppose Susan had rented the same number of videos with the same initiation fee, but the cost was instead $0.95 per video that she rented. What would she have paid in total?

Answers

Answer:

Step-by-step explanation:

From your question, part A's answer should be t = 12.75 + 0.75v

Part B's calculation is correct.

Part C: Initial fee same at 12.75

Same number of video rented at 124.

Total paid for $0.95 per video is = 12.75 + 124*0.95

= $130.55

A flat roof rises at a 25° angle

from the front wall of a storage

shed to the back wall. The front

wall is 11. 5 feet tall and the back

wall is 18. 5 feet tall. Find the

length of the roofline and the

depth of the shed from front to

back. Round your answers to the

nearest tenth of a foot.

Answers

The length of the roof line is equal to 17.4 feet and the depth of the shed is 15.07 feet.

Given the following data:

Height of front wall = 11.5 feet.Height of back wall = 20.2 feet.Angle of inclination = 25°

How to calculate the length of the roofline.

First of all, we would assign a variable to the length of the roof line and depth of the shed from front to back respectively.

Let the length of the roof line be h.

Let the depth of the shed be d.

From the image attached, we would determine the length of the opposite side as follows:

[tex]Opp=20.2 -11.5[/tex]

Opposite side = 8.7 feet.

Next, we would determine the length of the roof line by using Sine trigonometric:

[tex]Sin \theta = \frac{Opp}{Hyp} \\\\Sin30 =\frac{8.7}{h} \\\\0.5=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}[/tex]

h = 17.4 feet.

For the depth;

We would determine the length of the roof line by using Tan trigonometric:

[tex]Tan \theta =\frac{Opp}{Adj} \\\\Tan 30 =\frac{8.7}{d} \\\\0.5774=\frac{8.7}{d}\\\\d=\frac{8.7}{0.5774}[/tex]

d = 15.07 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552

What is 10+12.50h=5+15h? Solve for h and show your work please.

Answers

Answer:

10+12.50h=5+15h

We move all terms to the left:

10+12.50h-(5+15h)=0

We add all the numbers together, and all the variables

12.50h-(15h+5)+10=0

We get rid of parentheses

12.50h-15h-5+10=0

We add all the numbers together, and all the variables

-2.5h+5=0

We move all terms containing h to the left, all other terms to the right

-2.5h=-5

h=-5/-2.5

h=+2

Step-by-step explanation:

please heart and give brainliest

all real numbers greater than -5 are?

Answers

I think the answer to this question was integers.

A tennis ball has a diameter of 2.7 inches. The tennis coach wants to fill her storage shed with tennis balls. If the storage shed is 14 feet wide, 15 feet long, and 10 feet high, how many tennis balls will she need to fill up the shed? (Vsphere=43πr3)

Answers

Given that,

The diameter of a tennis ball, d = 2.7 inches

Radius, r = 1.35 inches

The dimensions of the storage shed is 14 feet wide, 15 feet long, and 10 feet high.

Volume of the shed is, V = lbh

[tex]V=14\times 15\times 10\\\\V=2100\ \text{feet}^3[/tex]

We can convert radius from inches to feet :

1 foot = 12 inches

Radius, r = 0.1125 feet

Let there are x number of tennis balls that can fit in the shed. So,

[tex]x\times V_b=V_s\\\\\text{Where}\ V_b\ \text{and}\ V_s\ \text{volume of ball and shed}\\\\x=\dfrac{V_s}{\dfrac{4}{3}\pi r^3}\\\\x=\dfrac{2100}{\dfrac{4}{3}\pi \times (0.1125)^3}[/tex]

x = 352105.75 balls

or

x = 352106 balls

Hence, 352106 balls can fit in the storage shed.

please help me i'm stuck

Answers

Answer:

5184

Step-by-step explanation:


At the corner store, you can buy 10 super-size granola bars for $20. How much does a
single super-size granola bar cost?

Answers

Answer:

2 dollars each

Step-by-step explanation:

Answer: $2

Step-by-step explanation: so we know you can buy 10 super size granola bars for $20 so we divide 20/10 and we get $2.

I hope this helps!

The graph shows a school's profit for selling lunches
on pizza day. What is the profit for selling 100
lunches? You must show your work.

Answers

Answer:

150

Step-by-step explanation:

the line is straight hence gradient is constant

change in y/change in x=gradient

(45-0)/(65-50)

G=3

lunches is x axis

3=(y-45)/(100-65)

(3x35)=y-45

105=y-45

105+45=y

y=150

The diagram shows the dimensions of a school playground. What is the area of the playground?

Answers

Answer:

1574yd^2

Step-by-step explanation:

i split into 3, 2 rectangles and a triangle

40 x 30 = 1200

30 - 8 = 22 (height)

60 - 40 = 20 (width)

14 x 22 = 308

20 - 14 = 6 (base of triangle)

formula of triangle = (b x h) / 2

6 x 22 = 132 / 2 = 66

1200 + 66 + 308 = 1574

there are 80 people in a choir half the people are women

Answers

Answer:

40 women then? whats the question?

Step-by-step explanation:

theres no question just info

Answer:

67

Step-by-step explanation:

HELP!!

does this graph represent a function!

Answers

No, I took a similar test, this was a question and it wasn’t a function.
Hope this helps :)


Four times the sum of 14 and c is a squared?

Answers

Step-by-step explanation:

c = a²

4(14+c)

4(14 + a²)

not sure though^^

Solve for c.

a(c + b)=d

Image Below

Answers

Answer:

second option

Step-by-step explanation:

Given

a(c + b) = d ← distribute parenthesis on left side

ac + ab = d ( subtract ab from both sides )

ac = d - ab ( isolate c by dividing both sides by a )

c = [tex]\frac{d-ab}{a}[/tex]

Which verbal expression best describes the algebraic expression 2x ÷ 4? (4 points) Group of answer choices The quotient of two and some number times four The sum of two and some number divided by four The quotient of two times some number and four The product of some number and four divided by two

Answers

Answer:

C. The quotient of two times some number and four

Step-by-step explanation:

Given the expression 2x÷4

The x be the unknown number.

2x can be written as:

Product of some number and 2 OR two times an unknown number

2x÷4 will then be written as:

The quotient of two times a number and 4

The correct option to describe the equation is "The quotient of two times some number and four"

What’s the verbal Expression of W - 24

Answers

Answer:

Indicated below

Step-by-step explanation:

Verbal Expressions of Algebraic Expressions

There are several ways to express w-24. I provide you with some of them:

w minus 24w decreased by 24w less 24The difference between w and 2424 less than 2424 subtracted from w

Find the value of variable

Answers

2x + 2x + 40 = 180
4x = 180
X = 180/4
X= 45

What is the solution to the equation

x = –6
x = –1
x = 1
x = 2

Answers

Solving Equations

When we're solving equations, our prime goal is to isolate the variable. We can do this by using inverse operations to combine like terms.

Examples:

The inverse operation of addition is subtraction, and vice versa.The inverse operation of an exponent is taking the root of the exponent, and vice versa.

Solving the Question

[tex]\sqrt[3]{5x-4}=\sqrt[3]{7x+8}[/tex]

⇒ Here, both sides are being taken to the square root of 3. To remove this, we can raise both sides to the power of 3:

[tex](\sqrt[3]{5x-4})^3=(\sqrt[3]{7x+8})^3\\5x-4=7x+8[/tex]

⇒ Let's move our x variable to the right side of the equal sign and the numbers to the left side. Start by subtracting 5x from both sides:

[tex](\sqrt[3]{5x-4})^3-5x=(\sqrt[3]{7x+8})^3\\5x-4=7x+8-5x\\-4=2x+8[/tex]

⇒ Now, subtract 8 from both sides:

[tex]-4-8=2x+8-8\\-12=2x[/tex]

⇒ Finally, divide both sides by 2 to isolate x:

[tex]\dfrac{-12}{2}=\dfrac{2x}{2}\\\\-6=x[/tex]

Answer

x = -6

Answer:

A

Step-by-step explanation:

EDGE 2019

Two adjacent vertices of a square are A(2, 3) and B(2, 8). What are the slopes of the lines that form the sides of the square?

Answers

Answer:

Slope is not defined.

Step-by-step explanation:

If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on a line then the slope of the line is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Now find the slope of the side of a square such that two adjacent vertices of a square are A(2, 3) and B(2, 8).

Take [tex](x_1,y_1)=(2,3)\,,\,(x_2,y_2)=(2,8)[/tex]

Slope of the line [tex]=\frac{8-3}{2-2}=\frac{5}{0}[/tex]

Here, [tex]\frac{5}{0}[/tex] is not defined.

So, slope is not defined.

Answer:

TRUST ME I PUT UNDEFINED AND THATS WRONG BEATCHES

the answer is zero and undefined. because the given is undefined, and to form a square, the 4 angles must be equal to 90, and a perpendicular line to to a line that has an undefined slope is zero, so 2 edges have a zero slope and 2 edges have an undefined sloped. PERIODT

Step-by-step explanation:

Find the value of 9x + 4y when x = 4 and y=-5

Answers

Answer:

16

Step-by-step explanation:

substitute the values into the equation

9(4)+4(-5)

solve...

36-20=16

Answer:

16

Step-by-step explanation:

9x + 4y

Let x =4 and y = -5

9(4)+ 4(-5)

36 -20

16

Line segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?

A.
21.1 units

B.
20.8 units

C.
13.9 units

D.
12.5 units

Answers

The approximate length of line segment XY is 20.8 units

How to calculate the distance between two points

The formula for calculating the distance between two points is expressed as:

A = √(x2-x1)²+(y2-y1)²

Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;

XY = √(5+12)²+(6+6)²

XY = √(17)²+(12)²

XY = √269 + 144

XY = 20.8

Hence the approximate length of line segment XY is 20.8 units

Learn more on distance formula here; https://brainly.com/question/661229

How long will it take you to drive 135 miles at a speed of 45 miles an hour

Answers

Answer:

3 hours.

Step-by-step explanation:

135/45=3

Frank plans to spend not more than $100 on clothes shopping. He purchases a pair of jeans and three t-shirts. Each t-shirt cost $25 each. Let j be the cost of the pair of jeans. Which inequality below could be used to show how much money Frank spent on the pair of jeans?

Answers

Answer:

j ≤ 25

Step-by-step explanation:

Given that :

Total Planned amount on shopping should not be more Than $100

Items purchased : a pair of Jean and 3 shirts

Cost of t-shirt = $25 each

Cost of pair of Jean = j

Amount spent on pair of jeans=?

Total amount spent on shirt = $25 * 3 = $75

Amount left : $100 - $75 = ≤ 25

Hence amount spent on pair of jeans :

j ≤ 25

The daily cost of hiring an Algebra tutor, y, for x hours can modeled using a linear function. The tutor charges a fixed traveling fee of $10, plus $30 per hour. The tutor will work for a maximum of 4 hours in one day. For one day of work, what is the domain of the function for this situation?

Answers

Answer:

40 and 130

Step-by-step explanation:

Let the total amount be y

and let the number of hours be x

given that the fixed charge is $10

and the charge per hour is $30

also given is that the tutor will work for a maximum of 4 hours

therefore the total amount the tutor will earn is modelled as

y=10+30x

for 4 hours the tutor will earn

y=10+30*4

y=10+120

y=130

therefore the domain lie between 40 and 130

Pls help me on this problem I’m confused

Answers

Answer:

5 + 4 + 3 = 12

12 ÷ 6 = 2

he puts 2 cups in each glass

Number each column from least to greatest for quart pint gallon

Answers

pint, quart, then gallon

least------------> greatest

1. find m 2. state the shortest side

Answers

Answer:

  a. 72°

  b. side DF

Step-by-step explanation:

The base angles of an isosceles triangle are congruent and equal to the complement of half the a.pex angle. The shortest side of the triangle is opposite the smallest angle.

a.

∠F = 90° -(36°/2) = 72°

__

b.

The smallest angle is 36°. The side opposite that angle is side DF.

_____

Additional comment

The relation we used to find the base angle is based on the fact that the sum of angles in a triangle is 180°. For angle F, with D = F, we have ...

  D +F +36° = 180°

  2F = 180° -36° . . . . . . substitute D = F, and subtract 36°

  F = 90° -(36°/2) . . . . . divide by 2

a slope of -2 with a point at (3,-5)

Answers

i don’t know if this helps but i hope it does

Find the measure of angle T to the nearest tenth.

Answers

Answer: 33.6 degrees

Step-by-step explanation:

A mom spent $560 on c clothes for her daughter for school. Write an expression that shows
the cost of one if they are all the same price?

Answers

Answer:

560÷c = p (p is price of one btw)

Step-by-step explanation:

Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 14 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 35 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?

Answers

Number of questions Colin thought wrong, N = 14.

So, his score by his prediction will be, S = 50-14 = 36.

Now,

Number of questions which are actually wrong, n = 14 -5 = 9.

His actual score, s = 50 - 9 = 41.

Percentage accuracy is given by :

[tex]\%=\dfrac{Actual-Real}{Real }\times 100\\\\\%=\dfrac{41-36}{41}\times 100\\\\\%=12.195\%[/tex]

Hence, this is the required solution.

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