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

The number 22 is multiplied by a 22-digit number that contains only "2"s. What is the
sum of the digits of the product?

Answers

Answer:

I don't know it is actually pretty hard! But is this part of the rsm mcp contest

Step-by-step explanation:

The sum of digits of the products is given by S = 176

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The number 22 multiplied by a 22-digit number that contains only "2"s would result in a number that consists of a string of "4"s.

This is because 2 multiplied by 2 results in 4. Since all the digits in the 22-digit number are "2"s, each digit would multiply by 2 and result in "4".

Therefore, the product of 22 multiplied by a 22-digit number that contains only "2"s would be a 44-digit number consisting of "4"s.

The sum of the digits of a 44-digit number consisting of only "4"s can be calculated by multiplying the digit "4" by the total number of digits, which in this case is 44.

Sum of digits = 4 × 44 = 176

Hence , the sum of the digits of the product would be 176

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Can you guys help me solve this equation with step-by-step help, please...

-2x -5y = 16

2x -3y = -16

-5x + 2y = 11

-3x + 4y = -13

Answers

Step-by-step explanation:

-2x - 5y = 16___(1)

2x - 3y = -16___(2)

(1) + (2) ==> -2x -5y = 16

(+) 2x -3y = -16

-8y = 0

y = 0/-8

y = 0

y=0 in (1)

(1)---> -2x-5y =16

-2x - 5(0) = 16

-2x - 0 = 16

-2x = 16

x = 16/-2

x = -8

x = -8 , y = 0

-5x + 2y = 11__(1) ; -3x + 4y = -13___(2)

multiply eqn(1) with 2

2 × (1) : -10x + 4y = 22___(3)

(3) - (2) :. -10x + 4y = 22

(-) -3x + 4y = -13

-7x = 35

x = 35/-7

x = -5

x=-5 in (1)

(1) : -5x + 2y = 11

-5(-5) + 2y = 11

25 + 2y = 11

2y = 11 - 25

2y = -14

y = -14/2

y = -7

x = -5 , y = -7

HI GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN IM SORRY ITS SO LATE

Answers

Answer:

100°

Step-by-step explanation:

[tex] In\:right\:\triangle GHI \:\&\: \triangle GJI[/tex]

[tex]\angle GHI\cong\angle GJI[/tex] (Each 90° given)

[tex]Hypotenuse \:GI \cong\: Hypotenuse GI[/tex] (Common side)

[tex] side\: GH\cong\:side GJ[/tex] (Given)

[tex]\implies \triangle GHI\cong\triangle GJI[/tex] (By HST postulate)

[tex]\implies \angle GIH \cong \angle GIJ[/tex] (corresponding angles of congruent triangles or cact)

[tex]\implies m\angle GIH = m\angle GIJ[/tex]

[tex]\implies 2z = z+25\degree[/tex]

[tex]\implies 2z-z = 25\degree[/tex]

[tex]\implies \red{\bold{z = 25\degree}}[/tex]

[tex]m\angle HIJ =m\angle GIH +m\angle GIJ[/tex] (By angle addition postulate)

[tex]\implies m\angle HIJ = (2z) + (z + 25\degree)[/tex]

[tex]\implies m\angle HIJ = 3z + 25\degree[/tex]

[tex]\implies m\angle HIJ = 3(25\degree) + 25\degree[/tex]

[tex]\implies m\angle HIJ = 3(25\degree) + 25\degree[/tex]

[tex]\implies m\angle HIJ = 75\degree+ 25\degree[/tex]

[tex]\implies\huge{\purple{\boxed{ m\angle HIJ =100\degree}}}[/tex]

I need help with this math question thank you

Answers

Answer:

A                                                                          

Step-by-step explanation:

The following set of ordered pairs represents y as a function of x.
{ (9,8), (-2, -14), (6, 2), (-3, -16), (______)}
Which of the following could be the missing ordered pair?
A (9,-8)
B (-3, 9)
C (-9, 8)
D (6,-2)

Answers

Answer:   C (-9, 8)

============================================================

Explanation:

The point (9,8) is in the original set of ordered pairs.

We cannot include (9,-8) since x = 9 is already listed. We can't have repeated x values. If x repeats, then we don't have a function.

This rules out choice A.

Choices B and D are eliminated for similar reasoning.

Choice C can be included because x = -9 hasn't been mentioned yet.

Note: A function is when any given x value leads to exactly one y value.

Rotate RST 90° counterclockwise around the origin.

Answers

The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)


How to rotate the triangle?

The coordinates of RST are given as:

R = (5,15)

S = (15,15)

T = (10,5)

The rule of 90° counterclockwise around the origin is:

(x,y) -> (-y,x)

So, we have:

R' = (-15,5)

S' = (-15,15)

T' = (-5,10)

Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

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Three coins are tossed. Find the probability that 2 land on heads

Answers

The probability of getting two coins landing on heads is 3/8 or 0.375

Answer:

1/8

Step-by-step explanation:

Probability denotes the possibility of something happening. It is a field of mathematics that studies the probability of a random event occurring. From 0 to 1.

the value is expressed.

When a coin is tossed, the chance of it landing on heads is 1/2, and vice versa.

So, we divide 1/2 by the number of times it lands on heads to get 1/4. However, when the second one landed on tails, we must multiply it by 1/2 again, making 1/4 x 1/2 = 1/8.

hope this helps:)

Please help with the 4/5 problems:) I completely forgot how to do this! *please show work on how you got your answer!**

Answers

Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...
Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume.

A container holds 4800 cubic inches of waste. The dimensions of the container are tripled. How many cubic feet
of waste does the new container hold?

Answers

This is a 3-D container and the dimensional factor is F=3.  The volume increases by a factor of 33 = 27.

The answer is 4608 x 27 / 123 = 72

Pls someone
In this diagram, what is the BEST description of the transformation shown?

Answers

Answer:  B) Rotation

Explanation:

The preimage has been rotated 180 degrees to land on the image.

Proof of this is to note that a point like (2,2) maps to (-2,-2)

The 180 degree rotation rule is [tex](x,y) \to (-x,-y)[/tex]. We flip the signs of each coordinate.

You can accomplish the same thing with two reflections: one over the x axis and the other over the y axis. However, a rotation is more direct.

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Add 7 cubes to the big square and 1 cube to the three square strip on the bottom of the big square in Step 3

Sorry if the answer is unclear, I tried my hardest to explain it properly. Please tell me if it's right, and if it is, I would appreciate a Brainliest.

(I added an image of what the answer might be)

The pattern

For top

For beneath

x

Look

for 1 there is 1

for 2 there is 2²=4

for 3 there is 3²=9

So for 4

There will be 4²=16

HURRY 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.

Answers

Answer:

3.

Step-by-step explanation:

Answer: the square root of 54 x IDC x i don't even want to help x haha no help for you x points for me not you

Step-by-step explanation:

y=8x+7 and -8x+y=7 solve algebretically

Answers

Answer:

infinitely many solution

Step-by-step explanation:

-8x + 8x + 7 = 7

7 = 7

A runner ran a 400 m race in 1 min 35 sec. Calculate his average speed in m/sec.

Answers

Step-by-step explanation:

distance = 400m

time taken = 1 min 35 sec = 95 sec

average speed = 400m / 95 sec = 4=2105 m/ sec

Answer:

4.21 m / sec.

Step-by-step explanation:

1 min 35 sec.

= 60 + 35

= 95 sec.

So average speed = 400/95

= 4.21 m / sec.

The point P = (-3, y) lies on the unit circle shown below. What is the value of y
in simplest form?

Answers

The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h, k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)² + (y-k)² = r²

The equation of the circle has the center at the origin and the radius is one unit. Then we have

x² + y² = 1

The point P = (-2/3, y) lies on the unit circle. Then the value of y will be

(-2/3)² + y² = 1

y² = 1 - 4/9

y² = 5/9

y = ± √5 / 9

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What's the answer!!!!! ASAP

Answers

The number of hits the player that most outperformed the predicted number of home runs based on the model is: 163 hits.

What is a Model?

A model can be represented by an equation in slope-intercept form which can be used to make predictions between the association or relationship between two variables.

From the details about the predictions given in the table above, 7 players outperformed the predicted number of home runs.

However, the player that outperformed the predicted number of home runs the most is the player that had 31 home runs with a predicted home run of 23.

The number of hits the player had was 163.

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NEED HELP PLEASE ANSWER ASAP! (42)

Answers

Answer:

(1) (4x - 5y)(4x + 5y)

Step-by-step explanation:

Question 42

16x² - 25y²The identity to be used is : a² - b² = (a - b)(a + b)(1) (4x - 5y)(4x + 5y)

Answer:

(1)  (4x - 5y)(4x + 5y)

Step-by-step explanation:

Difference of Two Squares:   [tex]a^2-b^2=(a-b)(a+b)[/tex]

Therefore, we can use The Difference of Two Squares to factor this expression quickly.

Given expression:  [tex]16x^2-25y^2[/tex]

[tex]16=4^2 \implies 16x^2=4x \cdot 4x=(4x)^2[/tex]

[tex]25=5^2 \implies 25y^2=5y \cdot 5y=(5y)^2[/tex]

Therefore:

[tex]16x^2-25y^2=(4x)^2-(5y)^2[/tex]

Using The Difference of Two Squares:

[tex](4x)^2-(5y)^2=(4x-5y)(4x+5y)[/tex]

Helppppppppppp meeeeeeeeee pleaseeeeeee

Answers

Can you crop a better photo of the question please

880$ at 5.25% for 2 years

Answers

Answer:

$977.20

Step-by-step explanation:

We will use the compound interest formula to solve this: A = P(1 + R) ^ T

Using this formula we plug-in the values that we already have:

A = 880(1 + .0525) ^ 2

Now if we solve this, we end up with 977.20. That is your answer.

find the volume of the compound shape​

Answers

Given:Hemisphere Cylinder Volume of the hemisphere:

[tex]v = \frac{2}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{2}{3} \times \pi \times {1.5}^{3} [/tex]

[tex]v = 7.07 \: {cm}^{3} [/tex]

Volume of the cylinder:

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {1.5}^{2} \times 4[/tex]

[tex]v = 28.27 \: {cm}^{3} [/tex]

Total volume:

[tex]v = 7.07 + 28.27[/tex]

[tex]v = 35.34 \: {cm}^{3} [/tex]

Hence, the volume of the given compound shape is 35.34 cubic centimeters.

v of hemisphere:

2/3 pi r^3

v of cylinder:

pi r^2 h

total:

add both the value

apply the formula and try

2.5 lbs of apples for $3.25 or 35oz for $3.50?

Answers

Answer:

2.5 lbs of apples for $3.25

Step-by-step explanation:

16 oz in one pound, 2.5 pounds is 40 oz. 40 oz is bigger than 35 and it costs less.

graph this sin equation

Answers

Answer:

I graphed it on desmos:

The base of a solid is bounded by the curve y = sqrt (x+1) the x-axis and the line x = 1. the cross sections, taken perpendicular to the x-axis, are squares. find the volume of the solid.
a. 1
b. 2
c. 2.333
d. none of these
(will vote brainlest, like and rate)

Answers

See attached for a sketch of some of the cross sections.

Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).

If the thickness of each cross section is ∆x, then the volume of each cross section is

∆V = (√(x + 1))² ∆x = (x + 1) ∆x

As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

[tex]\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)[/tex]

The radius of a circle is 4 feet. what is the angle measure of an arc pi feet long?

Answers

Answer:

Step-by-step explanation:

(-3+7i)(1-2i) can you help me with the answer to this

Answers

Answer:

11 + 13i

Step-by-step explanation:

A must know is that

[tex] \sqrt{i} = - 1[/tex]

Complex numbers

1st: foil the equations

[tex] - 3(1 - 2i) + 7i(1 - 2i)[/tex]

[tex] - 3 + 6i + 7i- 14 {i}^{2} [/tex]

2nd Combine like terms and substitute

[tex]i ^{2} for \: - 1[/tex]

[tex] - 3 + 14 + 13i[/tex]

[tex]11 + 13i[/tex]

please help I need this​

Answers

Answer:

the best answer is B

commending, is the act of praise or approval

C

Answer:

Why because u and the person sharing room, he or she is not slave to you. he or she do 50 percent and you 50 percent to keep peace in the room. steps why if the person say they are moving out then in that case who will clean the room

Make a box and whisker plot of the data. 20,23,28,14,13,24,18,11

Answers

Population size: 8

Median: 19

Minimum: 11

Maximum: 28

First quartile: 13.25

Third quartile: 23.75

Interquartile Range: 10.5

Outliers: none

- Attached image is the box and whisker plot

Find all the zeros of f(x).
f(x) = 3x4 + 11x3 + 11x2 + x - 2
Arrange your answers from smallest to largest.
If there is a double root, list it twice.

Answers

Answer:

  -2, -1, -1, 1/3

Step-by-step explanation:

A graphing calculator can find the real roots of a polynomial pretty easily. The attached graph of this function shows its zeros to be ...

  -2, -1, -1, 1/3

__

The rational root theorem tells you that rational roots will be from the set ...

  {±1/3, ±2/3, ±1, ±2}

Descarte's rule of signs tells you there will be 1 positive real root. The sum of coefficients is 24 (a relatively large positive number), so it is certain the positive root will be less than 1.

The sum of coefficients of odd-degree terms (11+1) is equal to the sum of coefficients of even-degree terms (3+11-2), telling you that -1 is a root. Synthetic division gives the cubic factor as 3x³ +8x² +3x -2, which has the same characteristics as the original quartic. That is, there is one positive real root, and -1 is a root of the cubic (hence a double root of f(x)).

Another round of synthetic division reveals the quadratic factor to be 3x² +5x -2, which can be factored as (x +2)(3x -1) to reveal the remaining roots.

1.Judy put 50 cents and 1 quarter into a vending machine to buy a bottle of fruit juice. She got 2 dimes and 1 nickel back from the vending machine. How much did the bottle of fruit juice cost

Answers

Nickel - 5 cents

Dime - 10 cents

Quarter - 25 cents

Judy put in: 50 + 25 = 75 cents

The machine gave back: 10 + 10 + 5 = 25

Subtract the two numbers to find the difference (what the fruit juice cost): 75 - 25 = 50 cents

Answer:

Nickel - 5 cents

Dime - 10 cents

Quarter - 25 cents

Judy put in: 50 + 25 = 75 cents

The machine gave back: 10 + 10 + 5 = 25

Subtract the two numbers to find the difference (what the fruit juice cost): 75 - 25 = 50 cents

Step-by-step explanation:

Quadrilateral abcd is a parallelogram if both pairs of opposite angles are congruent. prove that quadrilateral abcd is parallelogram by finding the measure of the opposite angle pairs?

Answers

Answer:

you how are doing please study and work hard

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