See screenshot below​

See Screenshot Below

Answers

Answer 1

Answer:

cos theta = -1/ 2

Step-by-step explanation:

sin theta = -sqrt(3)/2

Drawing a triangle

We know sin theta = opp/hyp

We can determine the adj side using the Pythagorean theorem

a^2 + b^2 = c^2

adj^2 + (-sqrt(3))^2 = 2^2

adj^2 +3 = 4

adj^2 = 4-3

adj ^2 =1

Taking the square root of each side

adj = 1

We know that since it is in the third quadrant the adj side is negative

adj = -1

cos theta = adj / hyp

cos theta = -1/ 2

See Screenshot Below
Answer 2

Answer:

Solution given:

Sin[tex]\theta_{1}=\frac{-\sqrt{3}}{2}[/tex]

[tex]\frac{opposite}{hypotenuse}=\frac{-\sqrt{3}}{2}[/tex]

equating corresponding value

opposite=-[tex]\sqrt{3}[/tex]

hypoyenuse=2

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

2²=-[tex]\sqrt{3²}[/tex]+x²

4=3+x²

x²=4-3

x=[tex]\sqrt{1}=1[/tex]

x=-1

In third quadrant

Cos angle is negative

Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]

Cos[tex]\theta_{1}=\frac{-1}{2}[/tex]

Related Questions

please help me 57=8n-7

Answers

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??? if you want u can answer as u like....

Answers

60, because 6 times 10 is just that

Answer:

60

Step-by-step explanation:

6x10 is 60

SOMEONE HELP ME PLEASE

Answers

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

d^2=41 as a verbal expression

Answers

[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]

Find cos x if sin x cotx = 0.5

Answers

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]

What is the area, in square feet, of the trapezoid below?

Answers

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

In a car dealership, all of the vehicles are either
a sedan or a SUV. If 36 sedans are sold and 36
SUVs are added, there will be an equal number
of sedans and SUVs. If 8 SUVs are sold and 8
sedans are added, there will be twice as many
sedans as SUVs. How many sedans were at the
dealership before any vehicle was sold?

Answers

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

Please help me solve this someone I’m really struggling

Answers

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 )

A total of 585 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

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

What is the correct answer to this multiple choice question? Please help!

Answers

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)

PLEASE HELPPPPPP WILL GIVE BRANLIST

Answers

Answer:

x = 1

Step-by-step explanation:

2(76x - 1) = 150

76x - 1 = 75

76x = 76

x = 1

Use the distributive property to write equivalent expressions.

Someone please help, ty!

Answers

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.

It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value of h and k.
pls help me,i'll mark u as the brainliest!​

Answers

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

Which of the following is an arithmetic sequence? 1, -3, 9, -27,... -2, 4, -6, 8, ... -8, -6, -4, -2, ... 2, 4, 8, 16, ...

Answers

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.

the function f(x) = -5x^2 +3 is defined over the domain -4< x < -1. find the range of this function.
a. 8 < f(x) < 83
b. 8 ≤ f(x) ≤ 83
c. -77 < f(x) < -2
d. 8 < f(x) < 23

Answers

Answer:

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

Step-by-step explanation:

Find the y-values of the functions endpoints.

[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.

What is the range of a function?

"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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Căn 84 bình phương trừ 37 bình phương chia 47

Answers

Answer:

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

Step-by-step explanation:

Find the volume of this sphere.

I need help I don’t understand.

Answers

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!

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

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

WORTH 90 POINTS WILL MARK BRAINLY PLEASE HELP ME ASAP

Answers

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.

On a number line, graph a number that is twice as from from 5 as it is from 8. How many numbers are there?

Answers

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

20 POINTS AND BRAIN LIESTJ ulia s urveyed the pl ayers on her so ccer team to see how many hou rs each mem ber prac ticed during the week. Her data is shown in the histo gram.

A histogram titled Prac tice Time has number of hours on the x -axis and number of players on the y-axis. 0.1 to 0.5 hours is 5 players, 0.6 to 1: 6, 1.1 to 1.5: 5, 1.6 to 2: 2, 2.1 to 2.5: 1, 2.6 to 3: 2, 3.1 to 3.5: 2, 3.6 to 4: 1, 4.1 to 4.5: 1.

Which of the following best describes the histogram?
The histogram is evenly distributed.
The histogram is symmetrical.
The left side of the histogram has a cluster.
The left side of the histogram is the mirror image of the right side.

Answers

Answer:

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

In a co-educational school, 47 of the students are girls. If there are 324 boys, find the number of girls in the school.

Answers

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.

how coming -17/18 please explain

Answers

???? I don’t understand the question

I DONT UNDERSTAND THIS PLEASE

Answers

Answer:

D. undefined

General Formulas and Concepts:

Algebra I

SlopeGraphing

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

What is the distance between (4, -10) and (4,-4)?

Answers

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

Enter the coordinates of the point
on the unit circle at the given angle. 0°

Answers

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

The coordinates of the point on the unit circle -The coordinates for the points lying on the unit circle and also on the axes are (1,0), (–1,0), (0,1), and (0,–1). These four points (called intercepts) are shown here. When you square each coordinate and add those values together, you get 1. They're the sine and cosine values of the most common acute-angle measures.

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

What are the domain and range of this function? y= (x+3)² - 5
A. Domain: [-5, ∞)
Range: [-∞,∞)

B. Domain: (-∞.∞)
Range: (-∞,∞)

C. Domain:(-∞,∞)
Range:[-5,∞)

D. Domain: (-5,∞)
Range: (-5,∞)

Answers

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! :)

find the value of x.
2+3
12
5
1.2
6.6
07
12

Answers

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

1/x^-2 x=7 yeet yeet

Answers

Answer:

49

Step-by-step explanation:

x = 7

1 / x^-2

= x^2

= 7^2

= 49

Answer: 49

Step-by-step explanation: yeet

Can you answer this math homework? Please!

Answers

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]

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