Fatima wants to find the value of sine theta, given cotangent theta = four-sevenths. which identity would be best for fatima to use?

Answer:

Step-by-step explanation:

a) the thickness of one ream of paper :

= 0.1 × 500

= 50 mm

b) 12 cm = 12 × 10 = 120 mm

Then

the number of sheets that exist in a pile of papers that has a thickness of 12 cm :

= 120 ÷ 0.1

= 1 200 sheet of paper

Answer:

positive association

Step-by-step explanation:

The longer a movie is, the more screen time it will have, and the more actors it will probably need.

Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.

He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.

This means that Marcus was paid as follows:

Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

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Step-by-step explanation:

for the same arc, the angle at the circumference of the circle is half of the angle at the center of the circle.

and the arc angle is normally representing the angle at the center of the circle.

therefore, the

angle ACB = arc angle AB / 2 = 80/2 = 40°

so, B is the right answer.

Explanation:

One root (aka x intercept) is at x = 0

The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5

After this point, the curve repeats itself. This means the period is 5 units.

The graph repeats itself every 5 units, aka the cycle is 5 time units long.

Answer:

Given that the probability of winning is = 0.05

So the probability of losing is = 1 - 0.05 = 0.95.

We are told we have a 1 in 20 chance

Success: 0.05

Failure: 0.95

P(X=4)= 0.95*0.95*0.95*0.05

So the chance is 0.04286 or Option D

Answer:

52.8*2=105.6

Step-by-step explanation:

52 I'm per hour means in two hour she travels double times that is 105.6 miles per hour

Answer:

its C

Step-by-step explanation:

I used something else for it for it

1)The relative frequency of those who own a smartphone will be 45%.

2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.

Assume you need to compute the joint relative frequency of a certain category inside a larger category.

Then there's the proportion of that specific category's frequency to the total frequency of that large category.

Given data;

The total number of persons polled:

⇒216 (26 + 84 + 72 + 34)

⇒216

The number of persons who own a smartphone is calculated as follows:

⇒26 + 72

⇒98

The relative  frequency of those who own a smartphone is calculated as;

[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]

Hence,the relative frequency of those who own a smartphone will be 45%

2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.

Hence,option C is correct.

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Answer: 84

Step-by-step explanation:

The most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.

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

We have data shown in the picture.

As we know, Quartiles or ranges are useful, but they are limited because they skip a lot of data in the group.

For a data set like the one in this question, where the items are close in difference, absolute deviation can help us gain a more representative notion of spread.

Thus, the most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.

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The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ

ΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)

ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]

ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]

ΔHrxn = –1085.6 + 184.8

ΔHrxn = –900.8 KJ

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Answer:

A: –900.8 kJ

Step-by-step explanation:

I assume you're asking to solve for the n-th term in the sequence, [tex]a_n[/tex].

From the given recursive rule,

[tex]a_n = a_{n-1} + 2 \implies a_{n-1} = a_{n-2} + 2[/tex]

and by substitution,

[tex]\implies a_n = a_{n-2} + 2\times2[/tex]

Similarly,

[tex]a_n = a_{n-1} + 2 \implies a_{n-2} = a_{n-3} + 2[/tex]

[tex]\implies a_n = a_{n-3} + 3\times2[/tex]

The pattern continues, so that we can write the n-th term in terms of the 1st one:

[tex]a_n = a_1 + (n-1)\times2 \implies a_n = 10 + 2(n-1) = \boxed{2n+8}[/tex]

So the first few terms of the sequence are

{10, 12, 14, 16, 18, 20, …}

Answer:

x = 8

[tex]\overline{AC}[/tex] = 30

[tex]\overline{CD}[/tex] = 10

Step-by-step explanation:

Triangle [tex]\triangle ABC[/tex] and triangle [tex]\triangle DEC[/tex] are similar because they have 2 congruent angles. We can find the scale factor between them by comparing the length of [tex]\overline{BC}[/tex] and  [tex]\overline{EC}[/tex] in a fraction, resulting in us finding the scale is 3:1 from [tex]\triangle ABC[/tex] to [tex]\triangle DEC[/tex].

Now we can solve for x using a proportion.

[tex]\frac{3}{1} = \frac{x+22}{x+2}[/tex] | Cross multiply

3x+6 = x+22 | Subtract x from both sides

2x+6 = 22 | Subtract 6 from both sides

2x = 16 | Divide both sides by 2

x = 8

Now we can solve for [tex]\overline{AC}[/tex] and [tex]\overline{CD}[/tex] by substitution.

[tex]\overline{AC}[/tex] = x + 22 = 8 + 22 = 30

[tex]\overline{CD}[/tex] = x + 2 = 8 + 2 = 10

These are your answers

- Kan Academy Advance

The measure of the ∠B of given parallelogram is 362 - 42x

In the above question, a figure which is known as Parallelogram is given, where the following angles are given :

Measure of ∠A = 6x + 14

Measure of ∠C = 9x - 7

Measure of ∠D = 17x + 5

We need to find, the measure of the ∠B

From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B

Now,

∠A + ∠B +  ∠C + ∠D = 360

16x + 14 +  ∠B + 9x - 7 + 17x + 5 = 360

∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)

∠B + 42x = 360 - (-2)

∠B = 362 - 42x

Hence, the measure of the ∠B is 362 - 42x

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Answer:

56 degrees

Step-by-step explanation:

Just did the Imagine Math

Answer:

one solution: -12/5

Step-by-step explanation:

Solution

To find how many solutions the equation has, we have to solve for the equation first!

Step 1: Combine like terms.

Step 2: Subtract 3x from both sides.

Step 3: Add 5 to both sides.

Step 4: Divide both sides by -5.

Therefore, the answer is one solution

Step-by-step explanation:

Represent D and E as x because you don't know them

Now the sum of all these angles is 180

so,D+E+90(THE SIGN AT THE TOP)=180

D which is x the E which is also x

x+x+90=180

2x+90=180

2x=180-90

2x=90

[tex] \frac{2x}{2} = \frac{90}{2} [/tex]

cancel and you will get x as 45

therefore x is 45 degrees

Answer:

The answer is 15

Step-by-step explanation:

Step-by-step explanation:

let the number of total phones be 8x and number of iPhones be 5x

now,

8x=24

or, x= 24/8 = 3

therefore

no. of iPhones = 5x = 5×3 = 15

i hope my answer is clear

Step-by-step explanation:

it means

$75.99 = original price × 0.65 ((100-35)/100)

original price = $75.99/0.65 = $116.9076923... ≈

≈ $116.91

Answer: m ≥ 1,379

Step-by-step explanation:

$26 monthly fee

$0.06/minute of use

$108.74 (least charged in a month)

m = number of minutes

26 + 0.06m ≥ 108.74

0.06m ≥ 108.74 - 26

0.06m ≥ 82.74

[tex]\frac{0.06m}{0.06}[/tex]  ≥  [tex]\frac{82.74}{0.06}[/tex]

m ≥ 1,379

Answer:

the odds that it not blue is 9 /13 or .692

Step-by-step explanation:

The area covered by the napkin is 56 square centimeters

This is calculated using:

[tex]Area = \frac 12 ab\sin(C)[/tex]

Where:

a = 15, b = 5 and C = 30

So, we have:

[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]

Evaluate the product

Area = 56.25

Approximate

Area = 56

Hence, the area covered by the napkin is 56 square centimeters

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Answer: 56

Step-by-step explanation:

that’s c on 2023 edge

Answer:

a. 20 points

Step-by-step explanation:

Range = Largest given value - Smallest given value.

Identifying the range of test 1

Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.

So range of test 1 = 90 - 50 = 40

Identifying the range of test 2

Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100

So range = 100 - 40 = 60

Identifying the differences between the ranges

Test 1 range : 40

Test 2 range : 60

Difference between the two : 60 - 40 = 20 points

Answer:

80

Step-by-step explanation:

140-60

The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%

We are given;

Sample size; n = 173

Number of people who had  a resting heart rate over 100 bpm = 47

Now, formula for true proportion is;

p' = x/n

where;

x represents the number of successes

n represents the sample size.

p′ is the sample proportion which is the point estimate for the true population proportion.

Thus;

p' = 47/173

p' = 0.2717

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Answer:

C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]

Step-by-step explanation:

As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.

Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.

Answer:

12.36

Step-by-step explanation:

the standard deviation is 12.36123 or 12.36 rounded.

Answer: Cookie=2$ and Muffin=1$

Step-by-step explanation: Cookie=x and Muffin =y

then, 2x+y=5...(1)

x+y=3...(2)

(1) -  (2)

2x+y-x-y=5-3

or, x=2

then y=1

Answer:

c = 2

m= 1

Step-by-step explanation:

Im guessing you will need to use simultaneous equations

Let 'c' be the cost of 1 cookie and 'm' be the cost of 1 muffin

1) 2c + 1m = 5 -

2) 1c + 1m = 3

c / = 2

So c is 2

1) Label the equations 1 and 2

2) Find a common term in both equations ( bold)

3) Eliminate 1m by subtracting equation (2) from equation 1

( To know if to subtract or add always follow this rule: If the common terms and the same sign subtract if they are a different sign add)

4) Substitute c in any of the equation ( 1 or 2) to find m

I will use equation 2 because I think its easier

2) 1c+1m = 3

2 + m = 3

m= 3-2

m= 1