sin θ=√5/3, cos θ=2/3

3/2

2√5/5

√5/2

3√5/5

Answers

Answer 1

9514 1404 393

Answer:

  cos θ = 2/3

Step-by-step explanation:

We presume you want the value of the cosine for

  sin θ = √5/3 ≈ 0.745356

__

There are several possible approaches you can take to this problem.

1) Using the trig identity:

  cos = √(1 -sin²)

  cos θ = √(1 -(√5/3)²) = √(1 -5/9) = √(4/9)

  cos θ = 2/3

__

2) Another approach you can take is to use a calculator to find the angle, then use the calculator to find the cosine of the angle.

  cos θ = cos(arcsin(√5/3)) = cos(arcsin(0.745356)) = cos(48.19°) ≈ 0.666667

  cos θ = 2/3

__

3) Yet another approach is to check the answer choices for reasonableness.

You are given sin θ = 0.745356. This is more than 0.707107, the value where sine and cosine are equal, so the cosine value must be less than 0.707. The answer choices are ...

  2/3 ≈ 0.667

  3/2 . . . greater than 1; not a viable cosine value

  2√5/5 ≈ 0.894 . . . too large

  √5/2 . . . greater than 1; not a viable cosine value

  3√5/5 . . . greater than 1; not a viable cosine value

So, just looking at the values of the offered answer choices, you can choose the correct one. It is the only value with the appropriate magnitude.

  cos θ = 2/3


Related Questions

2/10=g/20 in proportions

Answers

Answer

Step-by-step explanation:

10g = 40

g = 4

I need help please! this is on EDGE2020 !

Answers

Answer:

D

Step-by-step explanation

A. there are 6 triangles so not this

B. Only 2 rectangles

C. 6 triangles once again

D. everything matches

Answer:

for every 6 triangles there are 2 rectangles

BILL IS IN A CLASS OF 15 BOYS AND 35 GIRLS. 30% OF THE STUDENTS IN
THE CLASS TAKE THE BUS TO SCHOOL. HOW MANY STUDENTS DO NOT TAKE
THE BUS TO SCHOOL?
Step by step explanation plz I need to show my work!

Answers

Answer:

35

Step-by-step explanation:

15+35=50

50=total number of students

50*0.3 = 15

50 - 15 = 35

35 students do not take the bus to school

find all missing angles in the diagrams below, please help​

Answers

Answer:

x = 80,

y = 80

Step-by-step explanation:

This is difficult to explain, so here are the theorems used

two lines parallel, with a transversal; alternate interior angles,

verticle angles theorem,

parts - whole postulate,

verticle angles theorem,

parts- whole postulate,

sum angles in a triangle,

supplementary angle, definition straight angle,

parts- whole postulate,

there are many other ways to reach the answer, I just whent this way.

Answer:

x= 80°, y= 100°

Step-by-step explanation:

Please see the attached picture for the full solution.

Find the value of x in the attached shape

Answers

Answer:

x = 110

Step-by-step explanation:

This shape is a heptagon. A heptagon's interior angles add up to 900 degrees. You can solve for x by finding the sum of all known values, and subtracting that sum from 900.

105 + 150 + 140 + 135 + 125 + 135 = 790

900 - 790 = 110

Answer:

it's the haptagon so it's sum of all sides is equall to900 degree

so first add the side accept x and subtract it with 900 degree

the answer will be 110 degre

hope it helps u

mark me as brainlest and ill mark you!!

Answers

???? Wait I can’t unless you answer a question

Answer:

Bru-

Is this a question?

Step-by-step explanation:

Match each multiplication expression with the number of decimal places in its product
Plz

Answers

is there a photo we can see

What reference angle will you use to determine cos 480° ?
A.)30°
B.)45°
C.)60°
D.)0°

Answers

I believe your answer would be C

First correct✅ answer gets brainliest

Answers

Answer:

zero hour and zero miles

Step-by-step explanation:

its because he has never moved so there are no miles

what is the solution for w in the equation

w+1/2=1/4w+2

options

w=2
w=9/8
w=4
w=10/3​

Answers

Answer:

Subtract 1/2 from both sides of the equation.

w=1/4w+1 1/2

Multiply both sides by 4

4w=w+6

Subtract w from both sides

3w=6

Divide both sides by 3

w=2

Check answer

2+1/2=1/4(2)+2

2 1/2=2 1/2

Step-by-step explanation:

Can someone help me answer this question :)

Answers

Answer:

Step-by-step explanation:

find the slope 1/2

then write it as y-4=1/2(x+6)

then u get y=1/2x+7

Answer:

Slope-intercept form: [tex]y = \frac{x}{2} + 7[/tex]  Standard form: [tex]2y - x = 14[/tex]  

I hope this helps!

The volume V of a pyramid is given by the formula V = Bh where B is the area of the base and h is the height
v = 216 cm
B - 36 cm
a. Solve the formula for h
b. Find the height of the pyramid
The height is
centimeters

Answers

Answer:

A. V/B=H B. The height, h, is 6 cm.

Step-by-step explanation:

A. Rearrange the formula V=Bh by dividing both sides by B to isolate h.

B. Plug in the Volume and Base into your rearranged formula to find the height. 216/36= h. h=6

a. The formula for height is h = V/B.

b. The height of the pyramid is 6 centimetres.

What is the total surface area of a given pyramid ?

The total surface area of a pyramid is the surface area of the triangular sides in addition to the surface area of the triangular base.

According to the given question we have the volume of the pyramid which is 216 cm³ and base is also given which is 36 cm.

Given V = Bh

∴ h = V/B.

h = 216/36

h = 6 cm.

learn more about pyramid here :

https://brainly.com/question/14013519

#SPJ2

Tell whether the value is a solution of the
- 5 = QS)-1; S = 10

Answers

Answer:

S=− [tex]\frac{4}{Q}[/tex]

Step-by-step explanation:

−5=(QS)−1

Swap sides so that all variable terms are on the left hand side.

QS−1=−5

Add 1 to both sides.

QS=−5+1

Add −5 and 1 to get −4.

QS=−4

Divide both sides by Q.

[tex]\frac{QS}{Q}[/tex]=[tex]\frac{-4}{Q}[/tex]

Dividing by Q undoes the multiplication by Q.

S= [tex]\frac{-4}{Q}[/tex]

Divide −4 by Q.

S=− [tex]\frac{4}{Q}[/tex]

Elias bought 7 new shirts for school.
Five shirts cost $60.90. He also bought
a pair of pants for $14.99. Without tax,
what is the total amount Elias spent?

Answers

Answer:

$100.25

Step-by-step explanation:

This question says that 5 shirts cost $60.90, so you would divide the two numbers to find out the price of 1 shirt

$60.90÷5=$12.18

Then you would just solve this equation

T=$12.18x+$14.99

T= Total Money Spent

x= Number of Shirts

Plug in the 7 shirts and solve

T=$12.18(7)+$14.99

T=$85.26+$14.99

T=$100.25

c) Write j(x) -h(x) in standard form.

Answers

Answer:

The answer is 0.

Step-by-step explanation:

What is the slope of the line shown in the graph? The answer to choose from: -2, -1, 1/-2, 1/2. I put -2 but I don’t think I’m right-

Answers

The answer would be -1/2

8
Kevin cycles past his mum who is sitting on a park bench. What is the relative speed
if Kevin is cycling at 20 km/h?
Include a unit in your answer.​

Answers

Answer:

Kevin cycles past his mum who is sitting on a park bench. What is the relative speed if Kevin is cycling at 20 km/h?

Step-by-step explanation:

20 km/h

pls help skakakakakakkaakakakakakakakakak​

Answers

Step-by-step explanation:

slope= -1/2

y intercept= 2

y=mx+b

m is the slope and b is the y intercept.

9514 1404 393

Answer:

slope: -1/2y-intercept: 2

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx + b

where m represents the slope, and b represents the y-intercept. To find the slope and y-intercept of your equation, compare it to this form. Matching the patterns, you see that ...

  m = -1/2

  b = 2

The slope is -1/2; the y-intercept is 2.

__

The graph can be made by locating the y-intercept at y=2 on the y-axis. Then locate another point that is over 2 and down 1* from the y-intercept. The coordinates of that point will be (2, 1). Draw the line through those two points.

_____

* The slope is often described as "rise"/"run", that is, the vertical change (rise) divided by the corresponding horizontal change (run). A slope of -1/2 means the "rise" is -1 units (down 1) while the corresponding "run" is 2 units (to the right).

The graph represents the solution set to whatcha inequality?

Answers

Answer:

The Answer is C y > -[tex]\frac{4x}{5}[/tex] + 5

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area such as the graph below

what is angle 1 in the picture called

Answers

Can you show me the picture ..?

Answer:

obtuse, right, acute

Step-by-step explanation:

OBTUSE is an angle greater than 90

RIGHT the angle is 90

ACUTE is an angle that is less than 90

Easy question for easy points

Answers

Answer:

50 berries left over

Step-by-step explanation:

55 berries     1700 berries

--------------- = -------------------

1 jar                   x jars

Using cross products

55x = 1700*1

Divide each side by 55

55x/55 = 1700/55

x = 1700/55

Changing to a mixed number

55 goes into 1700 30 times

30 *55 =16501700-1650 = 50

x = 30 50/55 = 30 10/11

There are 50 berries left over

Answer:

50 berries left over

Step-by-step explanation:

55 berries     1700 berries

--------------- = -------------------

1 jar                   x jars

Using cross products

55x = 1700*1

Divide each side by 55

55x/55 = 1700/55

x = 1700/55

Changing to a mixed number

55 goes into 1700 30 times

30 *55 =16501700-1650 = 50

x = 30 50/55 = 30 10/11

There are 50 berries left over

Step-by-step explanation:

Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more than the product of five and the same number x.

Answers

Answer:

x/9-8x+5x

Step-by-step explanation:

I can't help but to solve it:

x/9=9x

9x-8x+5x=6x

= 6x

Logarithms:

The number of cells in an embryo as it develops in the womb is modeled in the form [tex]f(x) = 2^{kt}[/tex] , where T is the time in months. If the fetus is estimated to have 32 cells in the first month, how many cells does a newborn have on average?

Answers

Answer:

2^45 or ≈ 3.5*10^13

Step-by-step explanation:

Given equation

f(t) = 2^(kt)f - number of cells, t - number of months, k- coefficient

We got 32 cells in the first month. It means:

t = 1, f(1) = 32

Using these numbers we can find the coefficient k:

32 = 2^(k*1) 2^5 = 2^kk = 5

Then the equation becomes:

f(t) = 2^(5t)

Average time is 9 months, we can calculate the number of cells:

f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13

Solve.
(4b^2 + 4)12b^2 - 5)

Answers

649373837 okay good well i hoped that work for u

7 x 10 PowerPoint 6.

Answers

Answer:

420

Step-by-step explanation:

7 x 10^6 = 7 x 60 = 420

Answer:

7000000

Step-by-step explanation:

10^6 = 1000000

1000000 x 7

Which value of n makes this equation true?
3n + 3
5
5n– 1
9
OA.
n=-16
OB.
n=-2
O C.
n= 2
OD.
n = 16

Answers

Answer:

the answer is A. -16

Step-by-step explanation:

3(-16)+3= -45

-45/5=

-9

5(-16)-1=-81

-81/9=

-9

-9=-9

One analog clock loses 3 minutes every 2 hours and another analog clock gains 3 minutes every 4 hours. At noon, the owner sets the correct time on both clocks and leaves on a business trip. When he returns home in less than two weeks, the clocks show the same time. What time do the clocks show? PLEASE HELP ASAP

Answers

Answer:

12 noon

Step-by-step explanation:

Clock 1 loses 3 minutes every 2 hours. Now, 2 hours = 120 minutes.

This means, it has speed of 120 - 3 = 117 minutes for every 2 hours.

Thus, in 1 hours, it's speed = 117/2 = 58.5 min/hr

Clock 2 gains 3 minutes every 4 hours

Which means in an hour, it gains ; 4/3 minutes

Thus, it's speed an hour is; 60 + 4/3 = 61.333 min/hr

Now, When he returns home in less than two weeks, the clocks show the same time.

let's say the number of hours he was away is x. For the 2 clocks to show the same time, it means they have to show it by 12 noon at another day since it was at noon that he set the correct times before leaving.

Thus, they will both be showing 12 noon.

Let f(x) = 2x + 1, g(x) = 3x - 2. Find the function (f - g)(x)

Answers

Answer:

Step-by-step explanation:

I thought they corrected this problem. Apparently not. I have to change eff(x). Change it to y

You can read this as y - g(x)

y - g(x) = 2x + 1 - 3x + 2

y - g(x) = -x + 3

cómo se escribe el número 88,317​

Answers

Answer:

ochenta y ocho mil trescientos diecisiete

Step-by-step explanation:

eighty-eight thousand three hundred seventeen

Answer:

80,000 + 8,000 + 300 + 10 + 7

eighty-eight thousand three hundred seventeen

Step-by-step explanation:

hola <3 espero que haya ayudado

3•f(-4)-3•g(-2)=?
Help please

Answers

Answer:

-27

Step-by-step explanation:

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