See screenshot below​

The points are ( 1,0) (0,1) .

a.) We seek the coordinates on the unit circle that represent an angle of 0 degrees.

The points on the unit circle are often provided by,

( cosθ, sinθ )

In order to do so,

θ= 0

to acquire,

(cos(0),sin(0))

(1,0)

b. With regard to the location on the unit circle where the angle is 90 degrees,

We swap out

θ = 90

to acquire,

(cos(90),sin(90))

This is condensed to, (0,1)

Learn more about the coordinates of the point on the unit circle brainly.com/question/10169163

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Answer: 1,0

is the actual answer

Hello!

[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]

- Separate the function into parts to determine the domain of each part.

[tex]\bf ( x + 3 )^{2} \\ x + 3 \\ 5 [/tex]

- The domain of a polynomial function is the set of all real numbers.

[tex]\bf x ∈ ℝ [/tex]

Domain: ( -∞; ∞ )

[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]

- Write the second degree function in standard form.

[tex]\bf y = x^{2} + 6x + 4 [/tex]

- Identifies the coefficients a and b of the second degree function.

[tex]\bf a = 1, b = 6 [/tex]

- Find the x coordinate of the vertex by substituting a = 1 and b = 6 in x = -b / 2a.

[tex]\bf x = -\frac{6}{2×1} [/tex]

[tex]\bf x = -\frac{6}{2} [/tex]

[tex]\bf x = -3 [/tex]

- Calculates the value of the function for x = -3.

[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]

[tex]\bf y = -5 [/tex]

Range: ( -3; -5 )

Answer: No answer

Good luck! :)

Answer:

A = 93.31 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 6.2, b₁ = 7.8, b₂ = 14.7 + 7.6 = 22.3 , then

A = [tex]\frac{1}{2}[/tex] × 6.2 × (7.8 + 22.3) = 3.1 × 30.1 = 93.31 ft²

Answer: 0.5

Step-by-step explanation:

[tex]cot(x)=\frac{1}{tan(x)} =\frac{1}{\frac{sin(x)}{cos(x)} } =\frac{cos(x)}{sin(x)}\\\\sin(x)cot(x)=sin(x)*\frac{cos(x)}{sin(x)} =cos(x)\\\\cos(x)=sin(x)cot(x)=0.5[/tex]

Answer:

For the question below, you will need to find the GCF of 45 and 60. In this instance it is 5, so it will be outside the box. The GCF answers will be inside the parenthesis, which is 7 and 12.

45x + 60 = 5(7x + 12)

In this question you have to multiply 2 with every number inside the parenthesis. So 2 × 10x and 2 × 4.

2(10x+4) = 20x + 8

Hope this helped.

Answer:

The number of sedans before any vehicle was sold is 168

Step-by-step explanation:

Let's define the variables:

x = number of sedans

y = number of SUVs

We know that:

"If 36 sedans are sold and 36  SUVs are added, there will be an equal number  of sedans and SUVs"

If 36 sedans are sold, the new number of sedans is:

x - 36

if 36 SUVs are added, the new number of SUVs is

y + 36

And these numbers are equal, then:

x - 36 = y + 36

We also know that:

" If 8 SUVs are sold and 8  sedans are added, there will be twice as many

sedans as SUVs. "

If 8 SUVs are sold, the new number of SUVs will be:

y - 8

If 8 sedans are added, the new number of sedans wil be:

x + 8

From this we can write the equation:

(x + 8) = 2*(y - 8)

x + 8 = 2*y - 16

Then we have two equations:

x - 36 = y + 36

x + 8 = 2*y - 16

We want to find the number of sedans, x, then we need to isolate the other variable in one of the equations, let's isolate y in the first one:

Let's isolate x in the first one:

x - 36 - 36 = y

x - 72 = y

Now we can replace it in the other equation:

x + 8 = 2*y - 16

x + 8 = 2*(x - 72) - 16

Now we can solve this for x.

x + 8 = 2*x - 144 - 16

8 + 144 + 16 = 2x - x

168  = x

The number of sedans before any vehicle was sold is 168

Answer:

10 T Shirts to have 105 dollars

Step-by-step explanation:

[tex]10.5x = 7.5x + 30[/tex]

[tex]3x = 30[/tex]

[tex]x = 10[/tex]

Answer:

x = 1

Step-by-step explanation:

2(76x - 1) = 150

76x - 1 = 75

76x = 76

x = 1

Answer:

Given the proposed interrogate, the answer(s) to the following are identified as “-8, -6, -4, -2…” and “2, 4, 8, 16”.

Step-by-step explanation:

Accountable Conditions: Although the question implies there is only one individual mathematical statement which fits the conditions stated in the interrogate, both sequences listed above fit such, thus are both correct.

To evaluate for such, a comprehension of an “Arithmetic Sequence” is obligated:

In arithmetic sequences, the presence of a consecutive deviation or fixed pattern must be consistent and present throughout each and individual number or value contained within the particular set.

For Example: 3, 5, 7, 9, 11, 13, …

The deviation, or the number required to produce the subsequent value is identified as +2.

Now, apply such definitions to the peculiar problem:

A. 1, -3, 9, -27,… has -4, +12, -36, hence is not consistent. Thus, A cannot be correct.

B. -2, 4, -6, 8,… has +6, -10, +14, hence does not obtain a persistent consecutive pattern.

C. -8, -6, -4, -2… has +2, +2, +2, hence is consistent. Thus, C is correct.

D. 2, 4, 8, 16,… has +2, +2, +2, hence is consistent. Thus, D is correct.

Answer:

Hello,

k=-3 and h=-2

Step-by-step explanation:

[tex]5\ is\ a \ root \of \ x^2+(k-1)*x-5=0\\\\5^2+(k-1)*5-5=0\\\\5*(k-1)+20=0\\\\k-1=\dfrac{-20}{5} \\\\k=-4+1\\\\\boxed{k=-3}\\[/tex]

h+1 is thus a root of x²+(-3-1)*x-5=0

x²-4x-5=0

x²+x-5x-5=0

x(x+1)-5(x+1)=0

(x+1)(x-5)=0

h+1=-1

h=-2

5.

1m = 0.001 km

So, 1m² = 10^-6

Area = 5027 m² = 5027 × 10 ^-6 km²

6.

1mm = 0.1 cm

1mm² = 10^-2

Area = 210× 297 mm² =62370 mm² = 62370 ×10^-2 cm²

60, because 6 times 10 is just that

Answer:

60

Step-by-step explanation:

6x10 is 60

9514 1404 393

Answer:

  1/12

Step-by-step explanation:

The probability of any given outcome is the ratio of the number of ways that outcome can happen to the total number of outcomes.

  P(4) = 1/6 . . . . . roll = 4 is one of 6 possible outcomes

  P(odd) = 3/6 = 1/2 . . . . . of the 6 possible outcomes, 3 are odd

__

The two rolls of the die are presumed to be independent, so the probability of the two outcomes is the product of their individual probabilities.

  P(4 & odd) = (1/6)(1/2) = 1/12

Answer:

The total number of girls is 47.

Step-by-step explanation:

Below are the following values:

Total number of students = girls + boys

Total number of students = 47 + 324

Total number of students = 371

We are required to find the number of girls in the school.

Since a total number of boys is 324 and thus total number of girls is 47.

Answer:

19.3

Step-by-step explanation:

The base of the top triangle is 24.158 (approximately) found from the bottom triangle using the sine rule

from that,

sin(53) = r/24.158

or, r = 24.158×sin(53)

or, r = 19.3 (rounded to the nearest tenth)

Answer:

they are congruent.

Step-by-step explanation:

just move A down to -1 and and you can see they are the same.

Answer:

they are congruent.

Step-by-step explanation:

just move the A shape down to -1 and and you can see that they are the same.

Answer:

D. undefined

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

A horizontal line has a slope of 0.

A vertical line has a undefined slope.

Any other line will have a slope of some number.

Answer:

D

Step-by-step explanation:

The slope of a line represents  the number of units a line rises or falls vertically for each unit of horizontal change from left to right.

1) A line with positive slope (m > 0) rises from left to right.

2) A line with negative slope (m < 0) falls from left to right.

3) A line with zero slope is horizontal (parallel to x-axis).

4) A line with undefined slope is vertical (parallel to y-axis).

Ans: The line is parallel to y-axis. So, the slope is undefined

Answer:

49

Step-by-step explanation:

x = 7

1 / x^-2

= x^2

= 7^2

= 49

Answer: 49

Step-by-step explanation: yeet

Answer:

2048

Step-by-step explanation:

Formula for volume of a sphere is given:

V = 4/3πr^3

Where r = radius

The sphere shown has a given radius of 8

All we have to do to find the volume of the sphere is simply plug in the given value of the radius (8) into the volume of a sphere formula

(Note it says use 3 for π )

V = 4/3(3)r^3

Substitute 8 for r

V = 4/3(3)(8)^3

Plug this into a calculator and you get that the volume is 2048

Answer:

2,048in³

Step-by-step explanation:

The formula to find the volume of the sphere is already given to you in the problem. All we need to do is substitute and solve.

V = 4/3π(8)³

V = 4/3π(512)

V ≈ 682.67(3)

V ≈ 2,048

Best of Luck!

Answer:

325

Step-by-step explanation:

Total Tickets = 585

Let the adult tickets be = x

If 65 fewer student tickets were sold than adult tickets then Student tickets = x-65

Student Tickets + Adult Tickets = 585

x + (x-65) = 585

x + x - 65 = 585

2x - 65 = 585

2x = 585 + 65

2x = 650

2x/2 = 650/2

x = 325

Answered by Gauthmath

Answer:

x = 7

Step-by-step explanation:

The triangles are similar

12/8 = (x+3+5)/(x+3) cross multiply expressions

12x + 36 = 8x + 64

12x - 8x = 64 - 36

4x = 28 divide both sides by 4

x = 7

Answer:

For x there is no distance since they are both for. For y, they are -6 apart.

Step-by-step explanation:

Answer:

Fox x Diya is no distance since they are both for they are six apart

Step-by-step explanation:

(4-10)

and= just opposite size (10- 4) .

10 -4 = 6 answer 6

and (4-4)

answer is

0

the answer is six apart

understand

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{d^2 = 41}}[/tex]

[tex]\huge\boxed{\text{TAKE the SQUARE ROOT}}[/tex]

[tex]\huge\boxed{\mathsf{d = \pm \sqrt{41}}}[/tex]

[tex]\huge\boxed{\textsf{SIMPLIFY it}}[/tex]

[tex]\huge\boxed{\mathsf{d = \pm \sqrt{41}\ or \sqrt{-41}}}}[/tex][tex]\huge\boxed{\mathsf{Answer: d = \bf \sqrt{41} \ or \ \sqrt{-41}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge{\boxed{\frak{Amphitrite1040:)}}}[/tex]

Answer:

the left side of the histogram is the mirror image of the right side.

Answer:

n=8

Step-by-step explanation:

57=8n-7

add 7 on both sides

64=8n

divide 8

n=8

Answer:

8

Step-by-step explanation:

57=8n-7

add 7 to both sides

64=8n

divide by 8 on both sides

n=8

Answer:

[tex]\sqrt{84^{2} } -37^{2} /47[/tex]=257 9/47

Step-by-step explanation:

Answer:

On a number line, graph a number that is twice as far from 5 as it is from 8.

Step-by-step explanation:

11 is twice as far from 5 as it is from 8

Answer:

[tex]choice \: c. \: - 77 < f(x) < - 2[/tex]

Step-by-step explanation:

[tex]f( - 4) = - 5 ({ - 4}^{2}) + 3 = - 77[/tex]

[tex]f( - 1) = - 5( { - 1}^{2}) + 3 = - 2[/tex]

Thus finding the range of F(x).

The range of the given function is - 77 < f(x) < - 2.

"The range of a function is a set of all the images of elements in the domain."

The given function is:

f(x) = - 5x² + 3

It is defined over the domain - 4 < x < - 1.

For x = - 4, f(x) = - 5(- 4)² + 3 = - 80 + 3 = - 77

For x = - 1, f(x) = - 5(- 1)² + 3 = - 5 + 3 = - 2

Therefore, the range of the given function f(x) is:

- 77 < f(x) < - 2.

Learn more about the range of a function here: https://brainly.com/question/8841915

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Step-by-step explanation:

y= x^2+5x-7

the vertex is -2.5 , -13.25

solutions ( -6.14 , 0) and (1.14 , 0 )

..........

y= -x^2+3x+8

vertex(1.5 ,10.25)

solutions ( -1.7 , 0) and (4.7 ,0 )