In a unit circle, ø= 90°. Identify the terminal point and sin Ø.
A. Terminal point: (0,1); sin ø= 1
B. Terminal point: (1,0); sin ø=0 C. Terminal point: (1, 0); sin ø=1
D. Terminal point: (0,1); sin ø=0

Answers

Answer 1

Answer:

Terminal point: (0, 1); sinФ = 1 A

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

Ф = 90°

→ By using the 2nd rule above

∴ The terminal point is (0, 1)

sinФ = 1

Terminal point: (0, 1); sinФ = 1


Related Questions

please answer!! will give brainliest

Answers

Answer:

third option

Step-by-step explanation:

Differentiate using the product rule

Given f(x). g(x) then the derivative is

f(x). g'(x) + g(x). f'(x) ← product rule

Given

[tex]\frac{d}{dx}[/tex](x² secx )

with f(x) = x² and g(x) = secx , then

f'(x) = 2x and g'(x) = secxtanx, thus

[tex]\frac{d}{dx}[/tex](x² secx)

= x². secxtanx + secx. 2x ← factor out xsecx from each term

= xsecx(xtanx + 2) → third option

Solve each system by substitution.
9) y = 5x – 22
y= 4x - 17
11) -2x – 10 y = 26
x + 5y =-13

Answers

Answer:

y is 3 and x is 5 2.)many solutions

Step-by-step explanation:

What is the equation in slope-intercept from of the line that passes through the points
( - 4, 2 ) and ( 12, 6 )?

Answers

The answer would be y=0.25x+3. Hope this helps

Answer:

This be the ooogggaaaaa boooogaaaaa 696969

Step-by-step explanation:

uhhh

Upper quartile is the point below which .......... *
25 % of the items lie.
50 % of the items lie.
75 % of the items lie.
100 % of the items lie.​

Answers

Answer:

75 % of the items lie.

Step-by-step explanation:

Upper quartile is the point below which 75 % of the items lie.

25 points-

Please help me-

Answers

Answer:

alr i tried, i hope i got them right! <3 pls let me know if i got them wrong.

1. 108 | 6x12 = 72 9x12 = 108 |

2. 91 | 13x7 = 19

3. 19 | 108/6 90/6 = 19/15 |

4. 50. 400/8 = 50

5. 50. 300/6

hope this helped! <3

Step-by-step explanation:

What is 4×2 to the power of 2-2×2 to the power of two

Answers

Answer:

1/4096

Step-by-step explanation:

[tex](4*2)^{{(2-2*2)}^2}\\\\=8^{-2^2}\\\\=[\frac{1}{64}]^2\\\\=\frac{1}{4096}[/tex]

you work from bottom to top

A Russian blue kitten costs $150 more than Manx kitten 9 blue kittens and 8 Manx kittens costs. Total of 14,100 write down a algebraic equation in the simplest form

Answers

Answer:

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Step-by-step explanation:

Given that:

Russian blue kitten costs $150 more than Manx kitten.

Cost of 9 blue kittens and  8 Manx kittens = $14100

Let,

x be the price of one Russian blue kitten.

y be the price of one Manx kitten.

According to given statement;

9x+8y=14100

x = y+150

Hence,

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

please help me on this!

Answers

Answer:

1- no

2- yes

3- no

4- yes

the ones that are no are because they either have x-values that repeat or they have y-values that repeat

Step-by-step explanation:

SLOT
The population of a certain bacteria varies directly with the temperature. When the temperature is 35 degrees Celsius, there are 7 million bacteria. How many
millions of bacteria are there when the temperature is 38 degrees celcius?
(Just write the number that you get as your answer)

Answers

Answer:

Step-by-step explanation:

Had the answer put don't remember


Show two methods for finding the quotient :
3/8 divided by 3/4

Answers

Answer:

Here's one :)

3 x 4=  12 =  1

8 x 3=  24 = 2

-by-step explanation:

The two methods of finding the quotient are flipping the divisor and then multiplying and the second one is converting the fractions into decimals and dividing them.

What are fractions?

Fractions describe the part of something present out of the total amount

We know that the result of diving a fraction by a fraction is the same as multiplying that fraction by the reciprocal of the divisor.

∴ (3/8) ÷ (3/4) is,

= (3/8) × (4/3).

= 4/8.

= 1/2.

The second method is converting the fractions into decimals and then dividing them in a conventional way.

3/8 = 0.375 and 3/4 = 0.75.

∴ 0.375 ÷ 0.75 is,

= 0.5.

learn more about fractions here :

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A meteorologist is measuring the temperature every 15 minutes. She notices the temperature increases by 3/4 degrees Fahrenheit between each measurements for 2 hours. What is the rate per hour of the temperature increase?

Answers

Answer:

3 °F/h

Step-by-step explanation:

The rate per hour of temperature change = change in temperature per measurement/change in time per measurement.

Now, the change in temperature per measurement is constant = 3/4 °F and the change in time per measurement is constant = 15 minutes = 15/60 h = 1/4 h.

So, rate per hour of temperature change = change in temperature per measurement/change in time per measurement

= 3/4 °F ÷ 1/4 h

= 3/4 °F × 4/h

= 3 °F/h

So, the rate per hour of temperature change is 3 °F/h

find the product of the following monomial

x^n * x^2

Answers

Answer:

x^(n+2)

Step-by-step explanation:

When multiplying two monomials with the same base but different exponents,

under the multiplication rule of exponents,

the product becomes the base number to the power of the sum of the exponents.

For example:

[tex]a^2 + a^1 = a^(1+2)[/tex]

Therefore, since x^n and x^2 both have x as their bases,

the product becomes x^(n + 2)

How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?

Answers

Answer:

The stack of blocks is 25.96 inches tall

Step-by-step explanation:

Volume of a Cube

Suppose we are given a cube of side L, the volume is calculated by:

[tex]V=L^3[/tex]

If the volume is given, the side can be found by solving for L:

[tex]L=\sqrt[3]{L}[/tex]

We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.

Block 1, volume =375 cube inches:

[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]

Block 2, volume= 648 cube inches:

[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]

Block 3, volume =1029 cube inches:

[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]

Total height=[tex]7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch[/tex]

The stack of blocks is 25.96 inches tall

Qui peut me donner les reponse svp

Answers

Answer:

i dont understand spanish im so sorry

Step-by-step explanation:

Which graph best describes a system of equations that has no solution ​

Answers

Answer: D because they are parallel lines and will never touch therefore having no solutions

HELP I GIVE POINTS FOR THIS and brainliest Use the recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11 to determine the 2nd term if f(1) = 4.

Answers

Answer:

The second term is 12.6

Step-by-step explanation:

Let us solve the question

∵ The recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11

f(1) = 4

→ To find the 2nd term, sunstitute n by 2

n = 2

∴ f(2) = 0.4 · f(2 - 1) + 11

f(2) = 0.4 · f(1) + 11

→ Substitute f(1) by 4

∵ f(2) = 0.4 · 4 + 11

→ Simplify the formula

∴ f(2) = 1.6 + 11

f(2) = 12.6

The second term is 12.6

Use the remainder theorem to determine if x = 4 is a zero of the following polynomial and find the quotient and the remainder
p(x) = x2 + 11x - 60
ОА.
Yes, x = 4 is a zero of the polynomial
The quotient is x + 15, and the remainder is 0.
ОВ.
No, x = 4 is not a zero of the polynomial
The quotient is x + 15, and the remainder is 0
OC Yes x = 4 is a zero of the polynomial.
The quotient is x + 7, and the remainder is 0
D
No, x = 4 is not a zero of the polynomial.
The quotient is x + 7, and the remainder is -88

Answers

Given:

The polynomial is

[tex]p(x)=x^2+11x-60[/tex]

To find:

Whether x = 4 is a zero of the given polynomial by remainder theorem and find the quotient and remainder.

Solution:

According to the remainder theorem, if (x-c) divides a polynomial p(x), then the remainder is p(c).

Divide the polynomial by (x-4) and check whether the remainder p(x)=0 at x=4.

Putting x=4 in the given polynomial, we get

[tex]p(4)=(4)^2+11(4)-60[/tex]

[tex]p(4)=16+44-60[/tex]

[tex]p(4)=60-60[/tex]

[tex]p(4)=0[/tex]

Since, remainder is 0, therefore, (x-4) is a factor of p(x) and x=4 is a zero.

Now, on dividing p(x) be (x-4) we get

[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{x^2+15x-4x-60}{x-4}[/tex]

[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{x(x+15)-4(x+15)}{x-4}[/tex]

[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{(x+15)(x-4)}{x-4}[/tex]

[tex]\dfrac{x^2+11x-60}{x-4}=x+15[/tex]

The quotient is x+15 and remainder is 0.

Therefore, the correct option is A.

Select all of the terms that apply to the shape.



pentagon
hexagon
heptagon
octagon
nonagon
decagon
regular polygon
irregular polygon
concave
convex

Answers

Answer:

1,2,4,6,7

Step-by-step explanation:

The given shape is a pentagon, an irregular polygon, and also convex.

What is a polygon?

A Polygon is considered to be Concave if its diagonal can lie outside the Polygon as well.

A polygon is considered to be Convex if all of its diagonals lie within it.

A polygon is considered to be regular if it is convex and has equal sides and angles.

If all of the angles and sides of a polygon are not equal, it is said to be irregular.

Here,

The given shape has five sides, which means this is a pentagon.

The given shape has unequal sides, which means this is an irregular pentagon.

The given shape has it's all its diagonals lying inside, which means this is a convex pentagon.

Thus, the given shape is a pentagon, an irregular polygon, and also convex.

Learn more about the polygons here:

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A movie lasts 2 1/3 hours james watches 3/4 of the movie then pauses it while he eat dinner how long did he spend watching the movie. And how did you solve it.

Answers

Rewrite the length of the movie as an improper fraction.

2 1/3 = 7/3

Now multiply the length of the movie by 3/4

7/3 x 3/4 = (7 x3) / (3 x 4) = 21/12 = 1 3/4 hours

Find the sum or difference.
10/2x - 3/2x

Answers

Answer:

7/2x

Step-by-step explanation:

Tell whether the sequence is arithmetic if it is identify the common difference. -7, -3, 1, 5

Answers

Step-by-step explanation:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

d=-7+3=-3-1=1-5=-4

so it is an arithmetic sequence

hope it helps

NEED ANSWER ASAP PLEASE TYSM

Answers

Answer:

1

Step-by-step explanation:

the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one

hopefully this is right

Heather paid $2,022.30 for a computer. If the price paid includes a 7% sales tax, which of the following equations can be used to determine the price of the computer after tax? (Let x represent the cost of the computer and y represent the total cost after tax.)

Answers

Answer:

The equation should be  

2,022.30 x .07= x

X+2022.30= final sale price

Step-by-step explanation:

The local take out pizza place or 40 plain pizzas last week they sold 65% more plain pizzas this week than last week how many plain pizzas do they sell this week

Answers

Answer:

They sold a total of 66 pizzas.

Step-by-step explanation:

65% of 40 = 26

40 + 26 = 66 pizzas

Mark as #Brainliest !

#LearnWithBrainly

Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x and the width is 2x2 − 99x + 3 where the measurements are in feet.

If the length of the enclosed yard is 50 feet and the cost of fencing is $14 per foot, how much will Janice need to spend on fencing?

Janice will need to spend $_____ on fencing.

Answers

Answer $ 17 Step-by-step explanation:

Find the mode of the following data. 56,34,45,65,67,56,45,36,92,73,92,45,56

Answers

Answer:  Mode = {45, 56}

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

Explanation:

Original list = {56,34,45,65,67,56,45,36,92,73,92,45,56}

Sorted list = {34,36,45,45,45,56,56,56,65,67,73,92,92}

We see that 45 and 56 both occur three times each, and this is the most occurring or most frequent. So the mode is the set {45, 56}. It is possible to have more than one mode. It is also possible to not have a mode at all if each value in a list only occurs one time.

Answer:

its between 56 and 45 and i havent rlly done this since 5th or 6th grade so

Step-by-step explanation:

Simplify. 3y = 4x - 6

Answers

Answer:

y = 4x/3 - 2

Step-by-step explanation:

Is 8 a solution to 1/2 x + 9= 13 ?

Answers

Answer:

yes the solution is 8

Step-by-step explanation:

subtract 9 from both sides

1/2x+9-9=13-9

simplify

1/2x=4

multiply both sides by 2

2 x 1/2=4 x 2

simplify

x=8

A cheetah ran 196 meters in 8 seconds. Select the TWO correct statements that are true if the cheetah runs at a constant rate.
. The cheetah ran 125 meters in 6 seconds.
. After 10 seconds, the cheetah will have run 245 meters.
. The cheetah ran 24.5 meters per second.
. It took the cheetah 5 seconds to run 125 meters.

Answers

Answer:

Step-by-step explanation:

Answers C, D are correct

TBh i really don't know about B because i also think its B but i'm not really that sure but it could be a possibility\

If a cheetah ran 196m is 8 seconds, then 196/8 = 24.5 meters per second.

Let’s verify all answers:

A) 24.5 x 6 = 147. 147m are ran in 6 seconds, not 125.

B) 24.5 x 10 = 245. This answer is correct!

C) We’ve establishes that a Cheetah ran 24.5 meters per second. Correct!

D) Since one minute equals 60 seconds, 24.5 x 60 = 1470. Correct!

E) 24.5 x 5 = 122.5. In this time frame, a cheetah wouldn’t run 125m.

Betty is making a quilt made of various patterns . She buys 3 sheets of fabric that each have an area of 30 square feet. She cuts them up into sections that are each 2/5 of a square foot . How many sections will she have total

Answers

Answer:

She will have 12 sections per fabric and 36 sections in all

Step-by-step explanation:

Betty buy 3 fabrics of 30 ft²

If she cut each to 2/5 of 1 ft²

Then she will have

30 × 2/5

= 6 × 2

= 12

She will have 12 for each fabric and for the 3 fabrics, she will have

12 × 3 = 36

Step-by-step explanation:

Answer:

225 sections

Step-by-step explanation:

Each fabric has an area of 30 sq ft.

All 3 fabrics have a total area of 3 * 30 sq ft = 90 sq ft.

Each sections has an area of 2/5 sq ft.

number of sections = total area of fabric / area of each section

90/(2/5) = 90 * 5/2 = 450/2 = 225

Answer: 225 sections

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