HELP!?!?!?! I can't figure this out

Answer:

8

Step-by-step explanation:

The functions are illustrations of trigonometry ratios

[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]

Take LCM

[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]

[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]

[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]

[tex]\mathbf{Hypotenuse^2 = 14}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]

[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]

The sine of the angles is:

[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]

So, we have:

[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]

[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]

[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]

[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]

The sine of the angle does not have a real value

[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]

Start by calculating the tangent of the angle

[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]

So, we have:

[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]

[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]

Rationalize

[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]

[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]

[tex]\mathbf{Hypotenuse^2 = 15}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]

Rewrite as:

[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]

Read more about trigonometry ratios at:

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The arc length is 7/2 pi.

A = 440

answer...

A

=

a

+

b

2

h

=

25

+

19

2

·

20

=

440

Answer:

2/3 to 1/4, two thirds cup to a quarter cup

Step-by-step explanation:

Answer:

x= 2

y= -1

Step-by-step explanation:

Simultanous equation(elimination method)

STEP 1: multiply the number near x with the opposite equation.

in this case in equation 1, three is near x so u multiply it with the second equation.

2(3x-2y=4)

3(2x+3y=7)

you get 6x-4y=8

6x+9y=21

STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign

6x-4y=8 <-------- 1st equation

6x+9y=21 <-------- 2nd equation

SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21

STEP 3: Now do the elimination part and calculation

+6x-4y=8

-6x-9y= -21

___________

0x-13y= 13

NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE

STEP 4: Solve for y

now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y

-13y= 13

y= 13/-13

y= -1

STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation

ORIGINAL EQUATION: 3x-2y=4

3x-2(-1)=4

3x-2=4

x= 6/3

x= 2

NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER

Answer:

x=2, y=1

Step-by-step explanation:

3x-2y=4

2(3x-2y)=2(4)

6x-4y=8

2x+3y=7

3(2x+3y)=3(7)

6x+9y=21

6x+9y-(6x-4y)=21-8

6x+9y-6x+4y=13

13y=13

y=13÷13

=1

3x-2y=4

3x-2(1)=4

3x=4+2

=6

x=6÷3

=2

Hence, x=2 and y=1.

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation:

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation: I am sure of my answer

Answer:

-$500

Step-by-step explanation:

C = 3(1000) + 6500

C = 3000 + 6500

C = 9500

R = 9(1000)

R = 9000

P = 9000 - 9500

P = -500

Answer:

-3.392

Step-by-step explanation:

Math-way

Nick's needs to walk 2,085 feet more to get to the library.

Given:

1 mile = 5,280 feet

Distance from Nick's school to his house = 3195 feet

Recall,

Nick’s house is between his school and the library, which is one mile apart

So,

Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house

= 5,280 feet - 3,195 feet

= 2,085 feet

Therefore,

Nick's needs to walk 2,085 feet more to get to the library.

Read more:

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9514 1404 393

Answer:

  one solution: (x, y) = (-8, -7)

Step-by-step explanation:

We can add 6 times the first equation to the second equation in order to eliminate y.

  6(x -y) +(4x +6y) = 6(-1) +(-74)

  10x = -80

  x = -8

  y = x+1 = -7 . . . . . solve the first equation for y; substitute x

The one solution is (x, y) = (-8, -7).

Answer:

The domain should be X

Step-by-step explanation:

I'm a bit unsure but I think it's correct

The degree of a polynomial is the highest power of the polynomial.

The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]

The degree is given as:

[tex]\mathbf{n = 4}[/tex]

The zero is given as:

[tex]\mathbf{x = -3}[/tex]

Add 3 to both sides

[tex]\mathbf{x + 3= 0}[/tex]

From the question, we understand that the polynomial has a single zero.

So, the polynomial is:

[tex]\mathbf{P(x) = (x + 3)^n}[/tex]

Substitute 4 for n

[tex]\mathbf{P(x) = (x + 3)^4}[/tex]

Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]

Read more about polynomials at:

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The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.

(a) 5 cm, 12 cm and 13 cm

The statement is represented as:

[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]

[tex]\mathbf{169= 144 + 25}[/tex]

[tex]\mathbf{169= 169}[/tex]

Hence, the statement is true for triangle (A)

(b) 4 cm, 5 cm and 7 cm

The statement is represented as:

[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]

[tex]\mathbf{49 = 25 + 16}[/tex]

[tex]\mathbf{49 = 41}[/tex]

Hence, the statement is not true for triangle (B)

(c) 3 cm, 4 cm and 5 cm

The statement is represented as:

[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]

[tex]\mathbf{25 = 16 + 9}[/tex]

[tex]\mathbf{25 = 25}[/tex]

Hence, the statement is true for triangle (C)

(d) 9 cm, 12 cm and 15 cm

The statement is represented as:

[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]

[tex]\mathbf{225 = 144 + 81}[/tex]

[tex]\mathbf{225 = 225}[/tex]

Hence, the statement is true for triangle (D)

Read more about triangles at:

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Answer:

[tex] \frac{11}{8} = 1.375[/tex]

Answer:

[tex]\sf\longmapsto \: 3.73 hours [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{1}{7 } + \frac{1}{8} [/tex]

[tex]\sf\longmapsto \: \frac{15}{56} [/tex]

Now, Reciprocal–

[tex]\sf\longmapsto \: \frac{56}{15} [/tex]

[tex]\sf\longmapsto \: 3.73 hours [/tex]

The time taken together Marie and his sister to paint the living room are 3.73 hours or 3 hours and 43.8 minutes.

Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.

Another illustration of labor is when you finish your meal in an hour, which means that you finished your work in an hour.

Given that,

Marie take 7 hours to paint

1 work → 7 hour

1 hour → (1/7) work

Barbara takes 8 hour

1 work → 8 hour

1 hour → (1/8) work

Let's suppose together they take x hour

1 work → x hour

1 hour → (1/x) work

Now,

1-hour work together = 1-hour work of Marie + 1-hour work of Barbara

(1/x) = (1/7) + (1/8)

(1/x) = (7 + 8)/56

x = 56/15

x = 3.73

x = 3 hour and 0.73 × 60 = 43.8 minutes.

Hence "The time taken together Marie and his sister to paint the living room is 3.73 hours or 3 hours and 43.8 minutes".

For more information about the work and time relation,

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#SPJ2

Answer: i believe it can be  c ( the water house streams 6 gallons of water in 2 minutes.

Step-by-step explanation:

i dont have explanation just the answer. and i hope that the right answer.

Answer:

C., E.

Step-by-step explanation:

A. 3/30 = 1/10   No

B. 3/6 = 1/2   No

C. 6/2 = 3/1   Yes

D. 3/3 = 1/1   No

E. 15/5 = 3/1   Yes

Answer: C., E.

Answer:

The answer is 61

Answer:

61

Step-by-step explanation:

[tex]\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495[/tex]

[tex]\\ \sf{:}\dashrightarrow 2+2495=2498[/tex]

Answer:

C) Little Rock’s temperature < Lincoln’s temperature

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer would be C.

Little Rock's temperature is less than Lincoln's temperature.

66 < 82

Answer:

4 hours.

Step-by-step explanation:

The difference between 6 and 2 is 4.

Answer:

2 380m

Step-by-step explanation:

very simple just multiply 7×340

The value of Δy using the function y= 5x^3 as x goes from -2 to 1 is; Δy = 45

The question requests that Δy be computed according to the function, y = 5x³ as x goes -2 to 1.

where:

and

Therefore,

Δy = 45.

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Answer:

He will make $54

i think it’s 4/11

check out my other answers and mark me brainliest please !!!!

The probability of rolling a 4 on the die 4 times out of the total 11 times that it was rolled is; 0.0007716

We are given;

Number of times dice is rolled = 11

Now, on a die, there are 6 numbers and as such probability of getting a 4 is; P(getting a 4) = 1/6

Thus;

probability of rolling a 4 on the die 4 times = (1/6)⁴

⇒ 0.0007716

Read more about Probability at; https://brainly.com/question/251701

Answer:

9c

Step-by-step explanation:

if you take 8c and add another c, it equals 9c

Answer:

9C

Step-by-step explanation:

Answer:

plz explain simplier

Step-by-step explanation:

Answer:

a.(x)=7

b.(x)=14

Step-by-step explanation:

plz mark me as brainliest

Answer:

For A x equals 7

For B x equals 14

Explanation:

Simply cross multiply

A. 21×2=42÷6=7

Or find the relationship

B. 150÷6=25

84÷6=14

Hope this helps, mark BRAINLIEST please...

Answer:

The answer in the pictures