The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find the value of Cos(60°)

Answers

Answer 1

Answer:

The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).

I hope this helps!

Step-by-step explanation:


Related Questions

I need help with these in order!!!​

Answers

Answer:

See steps below

Step-by-step explanation:

WS ⊥ MH , HS = SM ......... Given

<HSW = <MSW = 90  .....  From WS ⊥ MH

Triangle HWS = Triangle WMS .... SAS  theorem

<M = <H  .... based on triangle congruency, and angle opposed to equal side WS

HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6

Answers

Answer:

the answer is 9

Step-by-step explanation:

Answer:

it is 9

Step-by-step explanation:

6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero​

Answers

Answer:

hio

Step-by-step explanation:

hi

As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

Given that, the ancient Babylonians were writing fractions in 1800 BCE.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.

The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.

From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.

Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

A. Paul notices that the shape of the pond is shaped somewhat like a triangle. He claims that he can approximate the perimeter of the pond without doing any measurement of the actual pond or on the diagram. What assumption would Paul need to make in order to justify his claim? B. Based on the assumption in part A, determine the approximate length of side c of the pond. Explain your reasoning in at least two sentences. C. Determine the approximate perimeter of the pond. Explain your reasoning

Answers

9514 1404 393

Answer:

  A) the curves are ellipses

  B) 161 yards

  C) 366 yards

Step-by-step explanation:

A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.

__

B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*

So, the approximate length of side c is ...

  c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c

__

C) The perimeter of the pond is the sum of the side lengths, so will be ...

  80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter

_____

* Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...

  C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))

where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.

For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find ...

  C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide

This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.

The attachment shows the shape if the curve is actually an ellipse.

A taxi driver earned $70.04 one night and then bought himself a meal for $19.98.
How much did he have left over, to the nearest dollar?

Answers

Answer: $50

Step-by-step explanation:

Rounding the numbers, you get 70-20, which equals $50

Which of the following is equivalent to the expression below? x 6 x 2

Answers

Answer:

Step-by-step explanation:

the answer is D

Write a linear equation for each table relating X and Y

Answers

Answer:

a. y = 2 + 2x

b. y = 20 - 4x

c. y = 2 + 1.5x

d. y = 20 - 3x

Step-by-step explanation:

I Hope That This Helps! :)

536-248 answer and show your work

Answers

Answer:

288

Step-by-step explanation:

288+248=536

A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?

Answers

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

simplify [tex]x^2+6x+4/x+3[/tex]

Answers

Answer:

(x^3 + 6 x^2 + 3 x + 4)/x

Step-by-step explanation:

Simplify the following:

x^2 + 6 x + 3 + 4/x

Put each term in x^2 + 6 x + 3 + 4/x over the common denominator x: x^2 + 6 x + 3 + 4/x = x^3/x + (6 x^2)/x + (3 x)/x + 4/x:

x^3/x + (6 x^2)/x + (3 x)/x + 4/x

x^3/x + (6 x^2)/x + (3 x)/x + 4/x = (x^3 + 6 x^2 + 3 x + 4)/x:

Answer: (x^3 + 6 x^2 + 3 x + 4)/x

COMPLETE THE TABLE PICTURED: A robot is put into a maze, it can only go N, E, S, and West. The value i represents the north, and the magnitude is equal to 1. I have figured out that N= i, East= 1, South= -i, and West= -1. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right. Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.

A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.

The attached table shows the desired values and expressions.

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]

what is the equation of the line that has a slope of 0 and passes through the point (4,-3)?

Answers

i simply.. don’t know at all..

Stan spent $440 on 8 chairs. To find out how much he
spent on each chair, he did the following work in long
division.

Answers

Answer:

the answer is there should be another digit in the quotient

Answer:

No, because there should be another digit in the quotient

Which of the following are partial products for 43 x 17

Answers

Answer:

731

Step-by-step explanation:

solve for x -1.5x - 3.1 < 5.5

Answers

Answer:

x>-17.2

Step-by-step explanation:

Simplify both sides of the inequality

-0.5x-3.1< 5.5

Add 3.1 to both sides

-0.5x< 8.6

Divided both sides by -0.5

x>-17.2

Hope this helped! :)

The quotient of 8 divided by 1/5 will be _____ 8.

Answers

Answer:

5

Step-by-step explanation:

Answer:

Less Than :)

Step-by-step explanation:

Matt is helping to set up drinks and snacks for a luncheon.

Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.

If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?

Answers

Answer:

he will fill 6 pitchers

Step-by-step explanation:

4.8÷0.8=6

I NEED HELP WITH THIS QUESTION

Answers

Answer:

y= 7 and -1

Step-by-step explanation:

PLS HELP!!
What is x

Answers

Answer:

2

Step-by-step explanation:

Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days combined

Answers

Answer:

Exact form: 157/20

Decimal Form: 7.85

Mixed Number Form: 7/17/20

Step-by-step explanation:

Translate the phrase into an algebraic expression.
The product of c and 2

Answers

Answer:

c+2

Step-by-step explanation:

Im not 100% sure I understand what you mean by this but anytime it says and in a statement it means + so c+2 would be the answer.

4x – 3y = 11
8x + 2y = 46​

Answers

Answer:

y=-17 x=10

Step-by-step explanation:

4x-3y=11

8x+2y=46

8x-6y-22                                                      8x+2(-17)=46

8x+2y=46                                                     8x-34=46

2y-6y        46-(-22)                                            8x=80

-4y=68

y=-17  x=10

Which expressions are equivalent to -7+3(-4e-3)
A.) -4(3e+4)
B.) 12e
C.) None of the above.
GIVING BRAINLIEST!
*URGENT*

Answers

Answer:

The answer is letter A.

-7+3(-4e-3)

−7+3((−4)(2.718282)−3)

=−48.619382

-4(3e+4)

−4((3)(2.718282)+4)

=(−4)((3)(2.718282)+4)

=(−4)((3)(2.718282))+(−4)(4)

=−32.619382−16

=−48.619382

A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?

Answers

Answer:

≈3.11

Step-by-step explanation:

The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.

What is the value of the quantity after 21 days?

When a quantity decays , it means that the value of the quantity declines with the passage of time.

The formula that can be used to determine the value of the quantity after a number of weeks is :

FV = P (1 - r)^n

Where:

FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks

920 x (1 - 0.85)^3

920 x 0.15^3 = 3.11

To learn more about exponential function, please check: brainly.com/question/18760477

What is the derivative of this?

Dy/dx=x^2y+y^2x

Answers

Answer:

y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)

Step-by-step explanation:

So, this is an implicit differentiation problem

x^2y+y^2x

so,

use product rule for both

x^2y'+2xy+y^2+2yy'x

collect all the y's

-x^2y'-2xyy'=y^2+2xy

y'(-x^2-2xy)=y^2+2xy

=y^2+2xy/-x^2-2xy


Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?

Answers

14 weeks
164-52=112
112/8=14

Answer:

I would say 14 weeks.

Step-by-step explanation:

I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.

What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25

Answers

Answer:

25

Step-by-step explanation:

Answer:

it is 25

Step-by-step explanation:

Maya has a dog and it wants to be pet

Answers

Answer:

so what is the question?

Steve is looking up at Godzilla with an angle of elevation of 49 degrees. If Steve is 400 feet away, how tall is Godzilla to the nearest foot?

Answers

9514 1404 393

Answer:

  460 feet

Step-by-step explanation:

The tangent relates the measures to the angle:

  tan(angle of elevation) = (Godzilla height)/(distance away)

  tan(49°) = (Godzilla height)/(400 ft)

  Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft

Godzilla is 460 feet tall.

Answer:

godzilla is 393 foot tall

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.

1. x=15 ft.
2. x=10 in.
3. x=3 in

Answers

Answer:

x = 3 in

Step-by-step explanation:

Since it's a square, to find the area, all you have to do is multiply one side of the square by another. Since this is a square, all the sides are equal. so 3x3 = 9. 9 sq. in.

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