In AQRS, the measure of ZS=90°, the measure of ZQ=41°, and SQ = 94 feet. Find the length of QR to the nearest tenth of a foot. ​

The solution of the given equation 3(2-c)=-(c+4) is c = 5.

According to the given question.

We have an equation

3(2 - c ) = -( c + 4)

Since, we have to solve the above equation for c.

Therefore, the solution of the above equation is gievn by

3(2 - c) = -( c + 4)  

⇒ 3(2) -3(c) = -c -4  (by distributive law)

⇒ 6 -3c = -c - 4  

⇒ 6 + 4 -3c = -c            (adding 4 both the sides)

⇒ 10 -3c = -c

⇒ 10 = -c + 3c    ( adding 3c both the sides)

⇒ 10 = 2c

⇒ 10/2 = c        (multiply both the sides by 2)

⇒ 5 = c or c = 5

Hence, the solution of the given equation 3(2-c)=-(c+4) is c = 5.

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To determine the listing price of an item that is intended to be sold for $319.47 after applying discounts of 33%, 11.5%, and 10%, we need to find the original price before the discounts.Item should be listed for $598.6.

To calculate the original price, we can work backward from the final price after applying the discounts. Let's denote the original price as x.

First, we apply the 10% discount, which means the price is reduced to 90% of the original price:0.9x = (10/100) * x.

Next, we apply the 11.5% discount to the reduced price:

0.885x = (11.5/100) * 0.9x.

Finally, we apply the 33% discount to the further reduced price:

0.59055x = (33/100) * 0.885x.

Simplifying the equation, we get:

0.59055x = 0.29055x.

To find x, we divide both sides of the equation by 0.59055:

x = 0.29055x / 0.59055.

Solving for x, we find:

x ≈ $598.6.

Therefore, the item should be listed for $598.6 to be sold for $319.47 after applying the discounts.

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Answer: x < 8

Reason: I did some math

Answer:

x<8

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

Since ΔABC is an equilateral triangle, this means that ∠A, ∠B, and ∠C all measure 60°.

Furthermore, all sides of the triangle measure 2a.

We know that AD⊥BC. Since this is an equilateral triangle, any altitude will be a perpendicular bisector. Therefore, BD = DC, ∠CAD = 30° and ∠C = 60°.

Additionally, the measures of the segments are: BD = DC = (2a) / 2 = a.

Let’s use the right triangle on the right. Here, we have that DC = a and AC = 2a.

Recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, sin(C) or sin(60°) will be AD / AC. We can find AD using the Pythagorean Theorem:

\(a^2+b^2=c^2\)

a is DC, b is AD, and c is AC.

Substitute in appropriate values:

\(a^2+(AD)^2=(2a)^2\)

Solve for AD:

\(\displaystyle \begin{aligned} a^2+(AD)^2&=4a^2\\(AD)^2&=3a^2\\AD&=\sqrt{3a^2}=a\sqrt{3}\end{aligned}\)

Sine is the ratio of the opposite to the hypotenuse:

\(\displaystyle \sin(C)=\sin(60\textdegree)=\frac{\text{opposite}}{\text{hypotenuse}}\)

Substitute:

\(\displaystyle \sin(60\textdegree)=\frac{AD}{AC} = \frac{a\sqrt{3}}{2a}\)

Simplify. Hence, regardless of the value of a:

\(\displaystyle \sin(60^\circ)=\frac{\sqrt3}{2}\)

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Answer:

7.6 cm²

Step-by-step explanation:

Area of rectangle= l x w

3 x 4 = 12 cm

Area of circle= πr²

π x 2.5²= 19.625

Area of shaded= Area of circle - area of rec

19.625- 12= 7.625 cm²

≈7.6

I HOPE THIS HELPED

Answer:

4c + 6 = 9

I hope this helps

Answer: good job!! They all look right. I checked the calculations with Siri.

Step-by-step explanation:

Answer:

1. 40 days

If the company makes 50 deliveries in 5 days, he makes 50/5=10 deliveries per day. Therefore, 400 deliveries will take 400/10=40 days.

2. His painting rate is 850 ft^2 per hour

3.Take 1 min = 55 words as a conversion factor. In order to achieve the words that a programmer could type, multiply the given 11 minutes to the conversion factor. Thus, it is viewed as (55 words/ 1 minute ) x 11 minutes in order to cancel some units, the answer would be 605 words.

4. soo we just need to make these into fractions

      1                              x

------------             ---------------

15,000                   300,000

all we need to do is figure out what we multiplied by 15,000 to get 300,000 all we have to do is divide 300,000 by 15,000. here is the math:)

300,000/15,000 = 20

so we got 20!!

just multiply that by the 1 in the first fraction to get x in the second fraction:)

your answer: B 20

5. it will take 15 hours

Step-by-step explanation:

Happy New Year !!

Have A Wonderful Day !!

1 . y'=0 is the derivative of the function y = 14.

2. y' =  9\(x^8\)+3\(sec^2x\)  is the derivative of the function y= \(x^9\)+3tanx

3. y' = \(\frac{-4}{x^5}\) + 4sinx is the derivative of the function y = \(\frac{1}{x^4}\) - 4cos x

1 . The derivative of a constant is always zero.

A constant function is a function whose value does not depend on the input value.

So y = 4 is a constant function, its derivative is always zero.

So the derivative of y=4 is 0

2. The differentiation of \(x^9\)+3tanx is 9\(x^8\)+3\(sec^2x\)

The power rule states that the derivative of x^n (where n is a constant) is nx^(n-1). So the derivative of x^9 is 9x^8.

The derivative of tanx is \(sec^2x\).

And the derivative of 3tanx is 3\(sec^2x\)

So, \(x^9\)+3tanx  is differentiated as9\(x^8\)+3\(sec^2x\)

3. The derivative of y = \(\frac{1}{x^4}\) - 4cos x can be found using the power rule and the chain rule.

The power rule states that the derivative of x^n (where n is a constant) is nx^(n-1). In this case, \(\frac{1}{x^4}\) can be rewritten as \(\frac{1}{x^4}\) and the derivative would be -4 \(\frac{1}{x^5}\)

The chain rule states that the derivative of (f(g(x)) is f'(g(x))*g'(x). In this case, the inner function is -4cos x, the derivative of cos x is -sin x and the outer function is , \(\frac{1}{x^4}\) the derivative of that is -4 \(\frac{1}{x^5}\). So the derivative of -4cos x is -4(-sin x)

So the final derivative of y = \(\frac{1}{x^4}\)  - 4cos x is \(\frac{-4}{x^5}\) + 4sinx

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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The height of the flagpole with a 60-foot shadow with maintaining the given ratio will be 37.5 feet.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

A 10-foot flagpole casts a 16 foot

The ratio of the flagpole's actual height to the length of the shadow

⇒ 10/16

Let's say the height of flagpoles whose shadow is 60 feet.

The ratio of the flagpole's actual height to the length of the shadow,

⇒ x/60

Both ratios must be the same.

Therefore, x/60 = 10/16

x = 600/16 = 37.5 foot.

Hence "The height of the flagpole with a 60-foot shadow with maintaining the given ratio will be 37.5 feet".

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

D: 18

Step-by-step explanation:

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the value of c is 17 cm.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given that a = 15 cm and b = 8 cm, then show the value of the c will be

It is clear that c is a hypotenuse. Then the hypotenuse is given by the Pythagoras theorem.

c² = a² + b²

c² = 15² + 8²

c² = 225 + 64

c² = 289

c = √289

c = 17 cm

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Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.35 would be 0.350 meaning its less than 0.359

In the given scenario, where there is one infinitely long track and overtaking is impossible, the initial situation consists of three equally spaced trains, each moving at a different speed. The trains have the capability to link up when one catches up to the other, resulting in a single train moving at the speed of the slower train.

As the trains move, they will eventually reach a configuration where the fastest train catches up to the middle train. At this point, the fastest train will link up with the middle train, forming a single train moving at the speed of the middle train. The remaining train, which was initially the slowest, continues to move independently at its original speed. Over time, the process continues as the new single train formed by the fastest and middle trains catches up to the remaining train. Once again, they link up, forming a single train moving at the speed of the remaining train. This process repeats until all the trains eventually merge into a single train moving at the speed of the initially slowest train. In summary, on this strange railway line, where trains can only link up and cannot overtake, the initial configuration of three equally spaced trains results in a sequence of mergers where the trains progressively combine to form a single train moving at the speed of the initially slowest train.

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Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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Answer:

Volume = 261.8 cm³

Surface area = 254.2 cm²

Step-by-step explanation:

To calculate the volume of the cone, we have to use the following formula:

\(\boxed{V = \frac{1}{3} \pi r^2 h}\),

where:

V ⇒ volume

r ⇒ radius = 5 cm

h ⇒ height = 10 cm

Using the above formula and the provided measures, we get:

V = \(\frac{1}{3}\) × π × (5)² × 10

    = \(\frac{1}{3}\) × π × 25 × 10

      = 261.8 cm³

In order to calculate the surface area of the cone, we have to use the following formula:

\(\boxed{SA = \pi r^2 + \pi r l}\)

where:

SA ⇒ surface area

r ⇒ radius = 5 cm

l ⇒ slant length = \(\sqrt{r^2+h^2}\) = \(\sqrt{5^2+10^2}\) = 5√5 cm

Using the formula,

SA = π × (5)² + π × 5 × 5√5

     = π × 25 + π × 25√5

     = 254.2 cm²

The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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Answer:

T (4, 8)

Step-by-step explanation:

T(7,8) •T(-3,-4) = T ( -3+7, -4+8) = T( 4, 4 )

Instead of moving

(3 units to the left, and 4 units down) then ( 7units to the right and 8 units up) we could get to the same place by moving

( 4 units to the right and 4 units up)

Answer:

T (4, 8)

Step-by-step explanation:

T(7,8) •T(-3,-4) = T ( -3+7, -4+8) = T( 4, 4 )

Instead of moving

3 units to the left and 4 units down then 7 units to the right and 8 units up we could get to the same place by moving

4 units to the right and 4 units up

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  5/7

Step-by-step explanation:

If the probability of an event is p, the probability of the complement of the event is ...

  q = 1 -p

  q = 1 -2/7 = 5/7

The probability of the complement is 5/7.

Answer:

It will take 9 minutes

Step-by-step explanation:

18:6=3

- 1 jump every 3 minutes

3 x 3 = 9

(but I'm not sure if it is correct because i did not really understood the question)

x+y =0

3x+y=16

x-y+4=8

The answer is 407.5, it's an exponential decay function

Answer:

63

Step-by-step explanation:

9 * 7 = 63