HELP! BRAINLIEST!
Which of the following represents vector w = 11i − 60j in trigonometric form?

w = 61❬sin 280.389°, cos 280.389°❭
w = 61❬cos 280.389°, sin 280.389°❭
w = 61❬cos 79.611°, sin 79.611°❭
w = 61❬sin 79.611°, cos 79.611°❭

Answer:

[tex] \: [/tex]

Step-by-step explanation:

We'll solve this using the Pythagorean theorem, we know that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}}[/tex]

So, As it is given in the question that, the length of one leg of a right triangle is 9 ft and the length of the hypotenuse is 3 feet longer than the other leg and we are to find the length of the hypotenuse and the other leg.

[tex] \: [/tex]

Let us assume the other leg as x ft and therefore the hypotenuse will be (x + 3) ft.

[tex] \: [/tex]

Now, substituting the values in the formula :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 3 {)}^{2} = (9 {)}^{2} + (x) {}^{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x {)}^{2} + 2.x.3 + {(3)}^{2} =81 + (x) {}^{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad \cancel{ (x {)}^{2}} + 2.x.3 +9 =81 + \cancel{(x) {}^{2} }}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x + 9 =81 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x =81 - 9 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x =72 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{72}{6} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad x =12 }}} \\ \\ [/tex]

Therefore,

Answer:

$172.80

Step-by-step explanation:

The phone cost $800

Decreases by 2/5 every year. So the cost would be 3/5 (instead of doing 800 - 800 *2/5 its easier to just do 800*3/5)

Here is a equation for this question:

[tex]800* (\frac{3}{5})^{t}[/tex]

t = time in years

So we can plug in 3 for t

[tex]800* (\frac{3}{5})^{3}[/tex]

[tex]800* (\frac{27}{125})[/tex]

[tex]172.8[/tex]

So the phone is now worth $172.80

Hope this helps! :)

Answer:

x = 27°

Step-by-step explanation:

[tex]m < 2 = 2\% \times 180 \\ = 36 \\ \\ m < 2 = 65\% \times 180 \\ = 117 \\ \\ [/tex]

Now,

[tex]x = 180 - (36 + 117) \\ \\ x = 180 - 153 \\ \\ x = 27[/tex]

Answer:

We know that:

small diameter = 2 * 10^-2 in

large diameter = 6 * 10^-2 in

We want to know how many times larger is the thin diameter compared to the large one.

We will do this as follows:

large diameter = k * small diameter

where k is the number of times that we want to find

6 * 10^-2 = k * 2 * 10^-2

k = (6 * 10^-2) / (2 * 10^-2)

k = 3

This means that the large diameter is 3 times the small one.

Step-by-step explanation:

The domain of the function 3x² + 6x – 8 is a real number and the range of the function 3x² + 6x – 8 will be (-11, ∞).

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = 3x² + 6x – 8

The range of the function will be

f(x) = 3x² + 6x – 8

f(x) = 3x² + 6x + 3 – 11

f(x) = 3(x² + 2x + 1) – 11

f(x) = 3(x + 1)² – 11

Then the range of the function will be from -11 to infinity.

More about the domain and range link is given below.

https://brainly.com/question/12208715

Answer:

  192.6 square yards

Step-by-step explanation:

The area of a regular pentagon can be found using the formula for any regular polygon.

  A = (n/2)r²·sin(360°/n) . . . . radius r, n sides

For a pentagon, the number of sides is 5, so this becomes ...

  A = 2.5r²·sin(72°)

__

Using the given value of radius, the area is ...

  A = 2.5(9 yd)²·sin(72°) = 2.5 · 81 · 0.951057 yd²

  A ≈ 202.5 · 0.951057 yd²

  A ≈ 192.589 yd²

The area of the pentagon is about 192.6 square yards.

_____

Additional comment

We're not sure what "six steps" you're supposed to follow. The necessary steps appear to be ...

Here, the formula for a pentagon can be simplified somewhat by precomputing the value of 2.5×sin(72°) ≈ 2.37764129074. Then the formula for the area is ...

  A = 2.37764129074·r² . . . . . area of regular pentagon with radius r

The correlation coefficient that represents the weakest correlation amongst the given options is -0.1.

Correlation is a statistical measure used to measure the relationship that exists between two variables. A value of one represents a perfect correlation. A value of zero signfies that the variables have no relationship.

So, the correlation coeffieicent with a value closest to zero would have the weakest correlation.

To learn more about negative correlation, please check: https://brainly.com/question/27246345

Answer:

(3, 13)

Step-by-step explanation:

Original coordinates of A

After translating left 4 units

After translating up 8 units

Answer:

Step-by-step explanation:

If the sum of two angles is one right angle or 90°, then one angle is said to be complementary of the other. Thus, 25° and 65°; θ° and (90 - θ)° are complementary to each other.

Suppose a rotating line rotates about O in the anti-clockwise sense and starting from its initial position

Answer:

please check photo for detailed analysis

Answer:

The measure of angle 7 is 47°

The value of x = 69

Step-by-step explanation:

(a) The measure of angle 7 is also 47° { therefore angle 5 angle 7 are vertically opposite angles so they are equal }

(b) if the angle 6 is represented by (2x-5) so the equation will be (2x-5) + angle 5 = 180° { linear pair}

(c)

=> 2x-5+47 = 180

=> 2x + 42 = 180

=> 2x = 180 -42

=> 2x = 138

=> x = 138/2

=> x = 69

Answer:

See below ↓↓↓

Step-by-step explanation:

(a) ∠7 = ∠5 (vertically opposite angles)

(b) ∠5 and ∠6 form a line, so their sum is equal to 180°, which is the angle of a straight line. Therefore, our equation :

(c) Solving for x :

The p-value shows that onea type of high school might not be better equip students to attain high academic honors at this college.

A p-value simply means a statistical measurement that is used to validate a hypothesis against the observed data.

Here, from the table, the p-value is 0.0393. Since the p-value is less than the level of significance which is 0.05, we are going to reject the null hypothesis.

It simply means that the observed values don't support the proportion given. Here, the p-value shows that one type of high school might not be better equip students to attain high academic honors at this college.

Learn more about p-value on:

https://brainly.com/question/4621112

Answer:

129.3mm chain left without beads

Step-by-step explanation:

Equation:

400mm long chain - [(40 x 1.7mm) + (27 x 6.5mm) + (8 x 3.4mm)]

                   = chain left without beads

Calculation:  

         40 beads x 1.7mm = 68mm

         27 beads x 6.5mm = 175.5mm

         8 beads x 3.4mm = 27.2mm

         (68mm + 175.5 mm + 27.2mm) = 270.7mm chain with beads

         400mm chain - 270.7mm chain with beads

                   = 129.3mm chain left without beads

male the question little more clear

Answer:

Below in bold.

Step-by-step explanation:

a) we need the grestest common factor of  theses values

153 = 3 * 3 * 17

255 =  3 * 5*17

357 = 3 * 7 * 17

The GCF = 3 * 17 = 51.

a) the least possible number of children  is 3.

b) The maximum number is 51 ( as 51 is the GCF of the given values).

c) the least possible number of fruits is when  b)  occurs, that is:

153/51, 255/51 and 357/51

= 3 apples , 5 oranges and 7 pears.

d) the maximum number of fruits is :

153/3, 255/3 and 357/3

= 51 apples , 85 oranges and 119 pears.

Answer:

a) 3 children

b) 51 children

c) 3 apples, 5 oranges and 7 pears

d) 51 apples, 85 oranges and 119 pears

Step-by-step explanation:

lnc - Least possible number of children in group

mnc - maximum possible number of children in group

a - Apples

o - Oranges

p - Pears

a = 153

o = 255

p = 357

a)

To solve this, find the highest divisor for the apples, oranges and pears.

[tex]a = \frac{153}{51} [/tex]

[tex]a = 3[/tex]

[tex]o = \frac{255}{85} [/tex]

[tex]o = 3[/tex]

[tex]p = \frac{357}{119} [/tex]

[tex]p = 3[/tex]

In order for each child to get 51 apples, 85 oranges and 119 pears, there would need to be a minimum of 3 children in the group.

[tex]lnc \: = 3[/tex]

b)

To solve this, find the lowest divisor for the apples, oranges and pears.

[tex]a = \frac{153}{3} [/tex]

[tex]a = 51[/tex]

[tex]o = \frac{255}{5} [/tex]

[tex]o = 51[/tex]

[tex]p = \frac{357}{7} [/tex]

[tex]p = 51[/tex]

In order for each child to get 3 apples, 5 oranges and 7 pears, there would need to be a maximum of 51 children in the group.

[tex]mnc = 51[/tex]

c)

In a group of 51, each child will get:

- 3 apples

- 5 oranges

- 7 pears

d)

In a group of 3, each child will get

- 51 apples

- 85 oranges

- 119 pears

Answer:

y = -2x² + 12x - 14

Step-by-step explanation:

Isolate the "-2" in (x - 3)² by using brackets:

Using the formula (a - b)² = a² - 2ab + b²:

Open the brackets on the R.H.S

Simplify the expression on the R.H.S

Answer:

p > 8

Step-by-step explanation:

8p - 48 > 4p - 16

plus 48 on both sides

8p > 4p + 32

minus 4p on both sides

4p > 32

divide 4 on both sides, 32 ÷ 4 = 8, so,

p>8

Answer:

P > 8 ??? I don't know if this is right and if its not then sorry lol

Step-by-step explanation:

Multiply 8(p-6) and 4(p-4)

You will get 8p - 48 > 4p - 16

Then add 48 to -16

Then you will get 8p > 4p + 32

Then subtract 4p from 8p

Then you will get 4p > 32

Then divide 4 from 4p and 32

Then you will get p > 8

Answer:

well for starters

the answer you get when you factor it out is 3(x+3)(x+3)

i know that would mean x=-3 but i dont know how the big 3 would effect anything. hope this helps

Answer:

The best game I can think of is the game of life

Step-by-step explanation:

Simply because its fun to have different experiences each time you play and can chose whatever

Answer:

Mobile- Animal crossing pocket camp

Step-by-step explanation:

I love this game :3

It's really relaxing and a fun way to pass a few minutes. -Crispin

The mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

p = 0.03

n = 500 students

[tex]\rm {\hat p} - Normal[/tex]

So the mean:

[tex]\rm \mu _\hat p \ = \ p \ = \ 0.03[/tex]

For standard deviation:

[tex]\rm \sigma_p = \sqrt{\frac{pq}{m} }[/tex]

q = 1 - p = 1 - 0.03 = 0.97

[tex]\rm \sigma_p = \sqrt{\frac{0.03\times 0.97}{500} }[/tex]

[tex]\rm \sigma_p = 0.008[/tex]

Thus, the mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ1

Answer:

1 in 999 i guess

Step-by-step explanation:

Answer:

1. Cos X =

2. Sin X = 3/5

3. Cos Y = 4/5

4. Sin Y = 3/5

5. Sec Y = 5/4

6. CSC X = 5/3

Step-by-step explanation:

(XY)² = (YZ)² + (XZ)²

=> (XY) ² = 3² +4²

=> (XY) ² = 9 + 16

=> (XY) ² = 25

=> (XY) = √25

=> (XY) = 5

Incorrect:

A-Reflection across line AC

B-Reflection across line BD

C-vertical translation

Correct:

D-Rotation about the center of the square

Thank you so much Please consider brainliest! <3

I think it is exactly 90ft

Using the permutation formula, as the order is important, it is found that 6720 lineups are possible.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 5 bands are selected from a set of 8, hence:

[tex]P_{8,3} = \frac{8!}{3!} = 6720[/tex]

6720 lineups are possible.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

D) X^2 = 1.608;

P-value > 0.25

Step-by-step explanation:

Correct on Khan