Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
hundredth, if sin 0 = 0.27 and 0 < 0 < 7

Using The Identity Sin? O + Cos? O = 1, Find The Value Of Tan O, To The Nearesthundredth, If Sin 0 =

Answers

Answer 1

Answer:

3.7

Step-by-step explanation:

Given

sin²θ + cos²θ = 1sinθ = 0.27

Solving for cosθ

cos²θ = 1 - sin²θcos²θ = 1 - (0.27)²cos²θ = 0.0729

Finding tanθ

tanθ = sinθ / cosθtanθ = 0.27 / 0.0729tanθ = 3.7

Verifying it lies in the range

θ = tan⁻¹ (3.7)θ = 74.88° Range is : 0 < θ < π/2 [or 0 < θ < 90°]It lies in the range [Verified]

Related Questions

Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field

Answers

The equation that represents the total area of the blueberry field will be y = 84x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Six workers are hired to harvest blueberries from a field.

Each is given a plot with an area of 84 square ft.

Then the equation that represents the total area of the blueberry field will be

Let x be the number of workers and y be the total area field. Then we have

y = 84x

Then the area of the total field will be

y = 84 (6)

y = 504 square ft

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A monument has a base and a statue The base is a rectangular prism that measures 4 feet by 6 feet by 2 feet The statue is a cube with edges that are 2 feet long What is the volume of the monument

Answers

Answer:

The formula for volume is V=l*w*h

(6×4×2)×2=96 cubic feet

Answer:

The winter evening settles down

With smell of steaks in passageways.

Six o'clock.

The burnt-out ends of smoky days.

And now a gusty shower wraps

The grimy scraps

Of withered leaves about your feet

And newspapers from vacant lots;

The showers beat

On broken blinds and chimney-pots,

And at the corner of the street

A lonely cab-horse steams and stamps.

And then the lighting of the lamps.

Alfred Tennyson - Summer Night

Alfred Tennyson was another poet who made great use of visual imagery. See if you can get a clear picture of the summer night he describes in this poem "Summer Night:"

Now sleeps the crimson petal, now the white;

Nor waves the cypress in the palace walk;

Nor winks the gold fin in the porphyry font:

The firefly wakens: waken thou with me.

Now droops the milk-white peacock like a ghost,

And like a ghost she glimmers on to me.

Now lies the Earth all Danaë to the stars,

And all thy heart lies open unto me.

Now slides the silent meteor on, and leaves

A shining furrow, as thy thoughts in me.

Now folds the lily all her sweetness up,

And slips into the bosom of the lake.

So fold thyself, my dearest, thou, and slip

Into my bosom and be lost in me.

William Wordsworth - I Wandered Lonely as a Cloud

Next is an excerpt from "I Wandered Lonely as a Cloud" by William Wordsworth. The first and last stanzas show a progression of the poet's emotions using visual imagery.

I wandered lonely as a cloud

That floats on high o'er vales and hills,

When all at once I saw a crowd,

A host, of golden daffodils;

Beside the lake, beneath the trees,

Fluttering and dancing in the breeze.

For oft, when on my couch I lie

In vacant or in pensive mood,

They flash upon that inward eye

Which is the bliss of solitude;

And then my heart with pleasure fills,

And dances with the daffodils.

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Theodore Rothke - My Papa’s Waltz

This famous poem by Theodore Rothke is an excellent example of olfactory and tactile imagery with plenty of visual imagery thrown in for good measure. The effect is powerful.

The whiskey on your breath

Could make a small boy dizzy;

But I hung on like death:

Such waltzing was not easy.

We romped until the pans

Slid from the kitchen shelf;

My mother’s countenance

Could not unfrown itself.

The hand that held my wrist

Was battered on one knuckle;

At every step you missed

My right ear scraped a buckle.

You beat time on my head

With a palm caked hard by dirt,

Then waltzed me off to bed

Still clinging to your shirt.

William Carlos Williams - This Is Just to Say

"This Is Just to Say" is an amazing example of gustatory imagery or imagery involving taste. There’s more going on beneath the surface of this poem, but the vivid description of taste draws the reader in.

I have eaten

the plums

that were in

the icebox

and which

you were probably

saving

for breakfast

Forgive me

they were delicious

so sweet

and so cold

Step-by-step explanation:

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 135 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 255 kilograms. How much does each type of box weigh?

Answers

Answer:

Small box = 9 Large box = 27

Step-by-step explanation:

135 divided by 5 = 27. 27 divided by 3 = 9

Repeat same process for second half of the equation.

A rectangular prism is 6.9 centimeters long and 1 centimeter wide. It’s volume is 21.39 cubic centimeters. What is the height of the rectangular prism? (will mark brainliest)

Answers

The height of the rectangular prism is 3.1

[tex]6.9x=21.39[/tex]

[tex]21.39[/tex] ÷ [tex]6.9=3.1[/tex]

Sure hope this helps

Can you create a data set which contains median=6 and mode=4?​

Answers

1, 4, 6, 9, 15, 4, 3, 12, 11

Answer:

hey!

Step-by-step explanation:

Which box and whisker plot accurately shows the data set below

Answers

3rd

Step-by-step explanation:

i am not sure though so confirm it

Answer:

Its the THIRD choice.

Step-by-step explanation:

The values in ascending order are:

6 6 7 9 11 14 15 15 17 19 21 23 23 23 28 31

So the median = (15+17)/2 = 16.

The lowest and highest values are 6 and 31.

The lower quartile is 10.

The upper quartile is 23.

Which expression could represent the phrase shown? (1 point)

"Subtract 2 from 6, then divide by 3"

Group of answer choices

3 ÷ 6 − 2

3 ÷ (2 − 6)

(2 − 6) ÷ 3

(6 − 2) ÷ 3

Answers

Answer:

(6-2)÷3=1

this is the answer

follow me :)))

What transformations would result in the image shown?



Δ ABC is reflected over the x-axis and translated right 1 unit.
Δ ABC is reflected over the y-axis and translated up 1 unit.
Δ ABC is reflected over both axes.
Δ ABC is translated right 4 units and up 1 unit.

Answers

ABC is reflected over y-axis and translated up 1 unit

Simplify 85.84
O A. 820
O B. 169
O C. 89
O D. 649

Answers

Step-by-step explanation:

it seams like this question is wrong

PLEASE HELP ME WITH THIS QUESTION!!!

Answers

9x²+3x-1=0

D=b²-4ac

= 3²-4×9×-1

=9+36

=45

x1= (-b+VD)/2a

= (-3+V45)/2×9

= (-3+3V5)/18

=(-1+V5)/6

x2=(-b-VD)/2a

=(-3-3V5)/18

=(-1-V5)/6

Find the area of the green triangle

Answers

Answer:

16 ft^2

Step-by-step explanation:

The area of a triangle is calculated by multiplying its height and base then dividing it by 2

Height of this triangle is given as 4ft

the base is 8ft

4*8/2 = 16 the area is given is square units so the answer is 16 ft^2

Does anyone knows this? I need help. Please explain​

Answers

Answer:

you can put a point on (0,1) and (-1,0) and put a line through the two points

Step-by-step explanation:

A, B and C lie on a straight line.
Given that angle
y
= 135° and angle
z
= 103°, work out
x
.

Answers

Answer:

x = 42

Step-by-step explanation:

a striaght line = 180°

z + y + x = 180

103 + 135 + x = 180

138 + x = 180

subtract 138 from both sides

138 - 138 + x = 180 - 138

x = 42

Answer:

what shape it is

Step-by-step explanation:

wat is the shape

You just found a coupon for 35% off! what is 3 the new price of the shoe before taxes?

Answers

The new price of the shoe before taxes will be $ 35.75.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

It cost Nike $55 to make the "Kyrie 5".

You just found a coupon for 35% off.

Then the new price of the shoe before taxes will be

⇒ (1 - 0.35) x 55

⇒ 0.65 x 55

⇒ $ 35.75

More about the percentage link is given below.

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please help me I need assistance

Answers

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}[/tex]

If the total profit per month is 200000 and the revenue per month can be obtained as twice the cost per month minus 50000. what is the revenue and cost?

Answers

Answer:

300,000

Step-by-step explanation:

[tex]2000000 - 50000 = 150000[/tex]

[tex]150000 \times 2 = 300000[/tex]

PLSS ANSWER!!!
In the circle, O is the center. The radius of the circle is 6 feet. Find the area of the shaded
sectors. Round to the nearest hundredth

Answers

12.57

Step-by-step explanation:

Area = πr²

40/360 × 22/7 × 36

1/9 × 22/7 × 36

(22 × 4)/7 = 12.57

Can someone say the answer to this question with steps?
¬

Answers

Answer:

729

Step-by-step explanation:

A(2,-3), P(2,9)Find the slope of the line through the pair of points

Answers

Answer:

Step-by-step explanation:

(9 + 3)/(2 - 2)= 12/0= undefined

How would you write this expression as a sum or difference?

Answers

The provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

We have:

[tex]= \rm log_3(\sqrt[5]{x} . y)[/tex]

As we know:

log(mn) = logm + logn

logmⁿ = nlogm

[tex]= \rm log_3({x^{\dfrac{1}{5}}} . y)\\\\= \rm log_3({x^{\dfrac{1}{5}}} )+log_3 (y)\\\\= \rm \dfrac{1}{5}log_3({x^{}} )+log_3 (y)\\\\[/tex]

Thus, the provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.

Learn more about the Logarithm here:

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find x so that x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence

Answers

Answer:

x = -3/2

Step-by-step explanation:

x + 3 + d  = 2x + 1              First term plus common difference = 2nd term

x -2 = d

x + 3 + 2d = 5x+2              First term + 2 d = third term    re-arrange:

4x-1 = 2d                            sub in the definition of d from above

4x -1 = 2 (x-2)

4x-1 = 2x-4

2x = -3

x = -3/2

If x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence then x is -3/2.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The sequence in which consecutive terms will have common difference is called as Arithmetic sequence.

x+3, 2x+1, and 5x+2

The common difference between first term and second term

d=2x+1-x-3

d=x-2

The common difference between second term and third term

5x+2-2x-1=d

3x+1=d

Now plug in d value

3x+1=x-2

Subtract x from both sides

3x-x=-3

2x=-3

Divide both sides by 2

x=-3/2

Hence, if x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence then x is -3/2.

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4.
Triangle DEF is shown below.
E
19-6 m
I
10-4 m
13-2 m
D
It has sides of length 10.4metres, 13.2metres and 19.6metres.
Calculate the size of angle EDF.

Answers

Answer:

111.75 degrees

Step-by-step explanation:

EDF = cos^-1((b²+c²-a²)/2bc)

EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))

EDF = 111.75 degrees

a girl exercises every day for half an hour how many minutes in total for over 5 days

Answers

Answer:

150 minutes

Step-by-step explanation:

30 × 5 = 150 minutes

im rlly frickin lost
pls help

Answers

Answer:

so far he has saved 27 dollars however he needs 33 more dollars

Step-by-step explanation:

okay so if it says "____ of x" you normally have to multiply (of is a hint)

so first lets see how much he saved

0.45(60) = 27

he saved 27 dollars so far. to find how much more he has to save, you have to do the amount he needs minus the amount he already has

sooo

60 - 27 = 33

uhhh im not sure what the graph table thing on the right is, but i hope this helps a little

edit: ohhhhh so in the table all you have to do is fill in the information. im sure u can do it, but if you still dont know how to just reply here and ill help!

Please help!! Giving Brainleist!

Answers

Answer: 30

Step-by-step explanation:

Bc all the numbers are near 30

CAN I PLEASE HAVE BRAINLIEST ✨

[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]​

Answers

Answer:

21.27 cubic meters

22.30 cubic meters

Step-by-step explanation:

We find volume by multiplying height, width, and length.

21.

3x3x3=27 cubic meters

22.

5x2x3=30 cubic meters

Answer:

    21. 27 cubic meters

   22. 30 cubic meters

Step-by-step explanation:

Question 21

Volume = length × width × heightVolume = 3 × 3 × 3Volume = 27 cubic meters

Question 22

Volume = 5 × 2 × 3Volume = 30 cubic meters

You need a loan and your friend, Joey, will lend you the $1250 you need. He has you sign a promissory note for four years with an annual simple interest rate of 5.5%. What is the total amount that you will pay Joey at the end of the four years?

$1525
$4225
$2750
$275

Answers

Answer:

$1525

Step-by-step explanation:

5.5% out of $1250= 68,7568,75 x 4 (years) = 2751250 + 275 = 1525

A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. if a marble is selected at
random, what is the probability that it is not blue?

Answers

Answer:

the odds that it not blue is 9 /13 or .692

Step-by-step explanation:

solve for x.

thanks!! ​

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Use the Intersecting Chords Theorem to solve for x:

[tex]\overline{\rm TP}\cdot\overline{\rm PR}=\overline{\rm QP}\cdot\overline{\rm PS}\\\\(x+3)(x)=(6-x)(2x)\\\\x^2+3x=12x-2x^2\\\\3x^2+3x=12x\\\\3x^2-9x=0\\\\3x(x-3)=0\\\\x=0,\: x=3[/tex]

The solution [tex]x=0[/tex] however, does not make sense because the chords have lengths, so [tex]x=3[/tex] is the only sensible answer.

Intersecting Chords Theorem States:

|QP| * |PS| = |TP| * |PR||6-x| * |2x| = |x+3| * |x|12x -2x² = x² + 3x-2x² -x² = 3x -12x-3x² + 9x = 0-3x(x -3) = 0x - 3 = 0, -3x = 0x = 3, 0

As Length cannot be zero or negative here. x = 3

whats 9499 to the nearest thousand??? I NEED THE ANSWER A.S.A.P

Answers

Answer:

9000

Step-by-step explanation:

1,2,3,4 round down

5,6,7,8,9 round up

Look at the 100's column for rounding to the nearest 1000

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