PQR is a right angled triangle. The area of the triangle is 6cm² and |QR|= 3cm.
find |PR|​

Answer:

a = 5

Step-by-step explanation:

a^2 + b^2 = c^2

Substitute

b = 12

c = 13

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = [tex]\sqrt{25} \\[/tex]

a = 5

Mark brainliest please!

Answer:

use Pythagoras theorem

Step-by-step explanation:

[tex]a^{2} + b ^{2} = c ^{2} \\ a ^{2} + 12 ^{2} = 13 ^{2} \\ a = 5[/tex]

is it c

(what is the scale)

the answers is D cuz there is no line in the picture

The dot plot is made by representing the frequency of the time spent exercising using dots

Kristin spends more time exercising than her friends

The dataset is given as:

0   6   5   9   5   4   3   5   4   6   4   5   5   4   6

From the dataset, we have the following frequency table:

Time   Frequency

0           1

3           1

4           4

5           5

6          3

9          1

See attachment for the dot plot made from the above frequency table

From the dot plot, we can see that Kristin's time of exercise is greater than all of her friend's time of exercise.

Hence, Kristin spends more time exercising than her friends

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Answer:

1<x<2

Step-by-step explanation:

1. Subtract 1 from everywhere ⇒ 2<2x<4

2. Divide by 2 everywhere ⇒ 1<x<2

125.66

You can turn the diameter into radius by dividing it by 2, then multiply that by 3.14 and 2!

Hope I could help.

C=2pie(r)

Answer:

4

Step-by-step explanation:

You have to use Pythagorean Theory which states that a^2+b^2=c^2

It means that:

3^2+b^2=5^2

b^2=25-9

b = root of 16 (25-9=16)

b = 4

I hope that I helped :)

Answer:

See below ~

Step-by-step explanation:

Answer:

Hello! The solution to this linear equation is 0 = 0. To find this solution:

Distribute -

8 - 2(4v+6) = -4 - 8v

8 - 8v - 12 = 14 - 8v

Subtract the numbers -

8 - 8v - 12 = -4 - 8v

-4 - 8v =  -4 - 8v

Rearrange terms -

-4 - 8v = -4 - 8v

-8v - 4 = -4 - 8v

Rearrange terms -

-8v - 4 = -4 - 8v

-8v - 4 = -8v - 4

Add 4 to both sides -

-84v - 4 = -8v - 4

-8v - 4 + 4 = -8v - 4 + 4

Simplify -

-8v - 4 + 4 = -8v - 4 + 4

-8v = -8v - 4 + 4

-8v = -8v

Add 8v to both sides -

-8v = -8v

-8v + 8v = -8v + 8v

Combine like terms and simplify -

-8v + 8v = -8v + 8v

0 = -8v + 8v

0 = 0

The solution is 0 = 0. This is an identity: it is true for all values.

Hope this helps! Have a great day.

The percent by which the sales of horror books is greater than sales of cookbook is 1.85% approx.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given that:

        Genre       number sold

Let we have:
Number of horror books sold = P% greater than number of cookbooks sold

55 = P% greater than 54

55 = 54 + P% of 54

1 = P% of 54

[tex]1 = \dfrac{P}{100} \times 54\\\\P = \dfrac{100}{54} \approx 1.85[/tex]

Thus, the percent by which the sales of horror books is greater than sales of cookbook is 1.85% approx.

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Answer:

Say that you put the set of tiles shown below into a bag and conduct a series of trials in which you draw one tile randomly from the bag, record the color, and replace it. The table below shows the number of times in each set of trials that you drew a blue tile.

Round tiles: 5 purple, 6 orange, 2 yellow, 4 red, 1 white, 10 blue, 5 black, 3 green.

Trial

1

2

3

4

5

# of Draws

54

36

80

22

75

# of Blues

18

11

20

4

32

Between the theoretical probability that you will draw a blue tile and the experimental probability that you will draw a blue tile, which is greater, and how much greater is it? Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 12% is 2 percentage points greater than 10%).

a.

The theoretical probability is 2.78 percentage points greater than the experimental probability.

b.

The theoretical probability is 1.49 percentage points greater than the experimental probability.

c.

The experimental probability is 4.06 percentage points greater than the theoretical probability.

Step-by-step explanation:

Edge 2022

Answer:

100 J

Step-by-step explanation:

The formula for kinetic energy is as follows:

[tex]\boxed{KE= \frac{1}{2} mv²}[/tex]

where

KE= kinetic energy (J)

m= mass (kg)

v= velocity (m/s)

Given: m= 50 kg, v= 2 m/s

Substituting the given information into the formula:

KE

= ½(50)(2²)

= ½(50)(4)

= 100 J

Answer:

7

Use tables to confirm you answer'

Answer:

9/20

Step-by-step explanation:

65 people swim or run

BUT

5 people just run

so

60 people swim or run

+

30 people swim and run

90/200 =

9/20

height= 6 cm

base= 10 cm

the area of the parallelogram.

[tex]formula = bh[/tex]

[tex]a = 6 \times 10[/tex]

[tex]a = 60 {cm}^{2} [/tex]

therefore, the area of the parallelogram is 60 square centimeters.

answer= option c.

Answer:

2.25 long of riding a bicycle

Answer:

2.25

Step-by-step explanation:

Answer:

You can find and write the equations in Slope-Intercept form due to the slope and y-intercept.

Step-by-step explanation:

The Slope-Intercept Form Formula: y=mx+b

The m represents the slope while the b represents the y-intercept

You can also use y2 - y1 / x2 - x1 to find the slope which is the m in your formula.

Lastly, to find a y-intercept, you can plug in your coordinate for the x and y to do two-step linear equations.

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

James spun the arrow 30 times which means 30 is the total. In other words, it's your denominator ([tex]\frac{x}{30}[/tex]). It landed on the blue section 12 times which means 12 is the part of the whole. In other words, it's your numerator ([tex]\frac{12}{y}[/tex]). Plug in the entire fraction and you get [tex]\frac{12}{30}[/tex]. Divide 12 by 30 and you get 0.4 or if you divide both the numerator & denominator by 6, you get [tex]\frac{2}{5}[/tex]. Either one works, depending on what your question asks for.

The monopoly price will be given as 110 dollars per unit. Then the total surplus will be 4800 dollars.

The figure below illustrates the market for steel.

If the steel market is competitive, firms can produce steel at a constant marginal cost of $100 per ton.

Therefore, the price of steel is $100 per ton, and 100 tons are produced.

Assume that if all the steel companies consolidate into a monopoly, the monopoly’s marginal cost will fall to $70 per ton.

If the market is controlled by a monopoly, the total surplus will be

The demand curve has to be defined the demand curve will be

P = 150 - 0.5Q

Total revenue, TR = 150Q - 0.5Q^2

MR = 150 - Q

MC = $ 70

The monopolist will maximize profit at MR = MC

150 - Q = 70

=> Q = 80 units

Monopoly price, P = 150 - 0.5 × 80 = $ 110 / unit

Total surplus = (1/2)×(150-110)×80+(110-70)×80

= 1,600 + 3,200

= $ 4,800

The graph is given below.

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Step-by-step explanation:

(5,4) is the coordinate of the point j after rotation

Answer: $1239.00

Step-by-step explanation:

I had to recheck on this.

For females that are ages 25-29, they have base auto insurance rate, meaning that the rate is set at 1. So multiply the base premium and base rate, 1239x1, and obviously it's the same 1239.

Hope this helped.

Step-by-step explanation:

Total =180°

Top vertex=39°

2base angles=180-39

2base angles=141

base anglez=141/2

Answer:

-11/2

-1

-1/4

1/8

3/4

Step-by-step explanation:

-11/2 = -5 1/2

-1 = -1

-1/4 = -1/4

1/8 = 1/8

3/4 = 6/8

Answer:

13.83431104

Step-by-step explanation:

use sin (opposite/hypotenuse) and solve

The convincing evidence is Yes, because a mean mileage of 52,000 or more occurred only 7 out of 200 times, the mean mileage is statistically significant.

A dot plot is known to have the same characteristics as  a bar graph as both are made up of different height of “bar” that consist of dots which is said to be equal to the number of items in any of the stages or categories.

Conclusively, when a person  uses a dot plot and the sample mean mileage, one will be able to find a convincing evidence that the new type of tread improves the mileage because out of  mean mileage of 52,000 or more, only 7 out of 200 times,  took place and this shows that the mean mileage is statistically significant and that the new type of tire tread boast the mileage of the tire.

Therefore, option A is correct.

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Answer:

Theres another question that looks like this one, the awnser to that is

^              ^               ^              ^              ^

No, because a mean mileage of 51,500 or more occurred 14 out of 200 times, the mean mileage is not statistically significant. There is not convincing evidence the new type of tire tread improves mileage of the tire.

Step-by-step explanation:

but the guy above me is correct

Answer: 6

Step-by-step explanation: You would divide 4 by 3 and divide your answer by 2.

The simulation of the customer visit is an illustration of probability

The probability that a customer would visit the coffee shop at least 5 times to win a gift card is  [tex](\frac {11}{12})^{n} - (\frac n{12}) * (\frac {11}{12})^{n - 1} - .......... - ^nC_4 * (\frac 1{12})^4 * (\frac {11}{12})^{n - 4}[/tex]

From the question, we understand that every 12th customer gets a $5 gift card.

This means that the probability that a customer gets a gift card is:

p = 1/12

The probability that a customer would visit the coffee shop at least 5 times to win a gift card is calculated using the following complement rule:

P(x ≥ 5) = 1 - P(x <5)

The equation becomes

P(x ≥ 5) = 1 - P(0) - P(1) - P(2) - P(3) - P(4)

Using the binomial formula

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]

The equation becomes

[tex]P(x \ge 5) = ^nC_0 * (\frac 1{12})^0 * (1 - \frac 1{12})^{n - 0} - ^nC_1 * (\frac 1{12})^1 * (1 - \frac 1{12})^{n - 1} - .......... - ^nC_4 * (\frac 1{12})^4 * (1 - \frac 1{12})^{n - 4}[/tex]

Simplify

[tex]P(x \ge 5) = (\frac {11}{12})^{n} - (\frac n{12}) * (\frac {11}{12})^{n - 1} - .......... - ^nC_4 * (\frac 1{12})^4 * (\frac {11}{12})^{n - 4}[/tex]

Hence, the estimate that a customer would visit at least 5 times is [tex]P(x \ge 5) = (\frac {11}{12})^{n} - (\frac n{12}) * (\frac {11}{12})^{n - 1} - .......... - ^nC_4 * (\frac 1{12})^4 * (\frac {11}{12})^{n - 4}[/tex]

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Step-by-step explanation:

lnx² - lny³ - lnz⁴

2lnx - 3lny -4lnz

Answer:

20 m²

Step-by-step explanation:

Formula (Area of triangle):

[tex]\text{A (Triangle)} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.

[tex]\implies \text{A (Triangle)} = \dfrac{1}{2} \times (7 + 3) \times (4)[/tex]

Simplify the right-hand-side as needed to evaluate the area.

[tex]\implies \text{A (Triangle)} = \dfrac{1}{2} \times (10) \times (4)[/tex]

[tex]\implies \text{A (Triangle)} = \dfrac{40}{2} = 20 \ \text{m}^{2}[/tex]

Therefore, the area of the provided triangle is 20 m².

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Answer:

Step-by-step explanation:

GIVEN:

In order to solve this, you need to isolate the term x on one side of the equation.

First, combine like terms.

[tex]\Longrightarrow: \sf{8x+16x+21=25x+19}[/tex]

Solve.

8x+16x=24x

[tex]\Longrightarrow: \sf{24x+21=25x+19}[/tex]

You have to subtract by 21 from both sides.

[tex]\Longrightarrow: \sf{24x+21-21=25x+19-21}[/tex]

Solve.

[tex]\Longrightarrow: \sf{24x=25x-2}[/tex]

Subtract by 25x from both sides.

[tex]\Longrightarrow: \sf{24x-25x=25x-2-25x}[/tex]

Solve.

-x=-2

Then, you divide by -1 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{-x}{-1}=\dfrac{-2}{-1}}[/tex]

Solve.

Divide the numbers from left to right.

[tex]\sf{\dfrac{-2}{-1}=2 }[/tex]

SOLUTIONS:

[tex]\Longrightarrow: \boxed{\sf{x=2}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

[tex]x = 2[/tex]

Given equation:

Combine like terms on the L.H.S and simplify the expression as needed.

Now, rewrite 25x in such a way such that 24x can be repeated on both sides. Clearly, we can rewrite 25x as 24x + x. Then,

Since 24x is being repeated on both sides, we can cancel it.

Finally, subtract 19 on both sides to isolate x.

Therefore, the value of x is 2.

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Answer: Cosec 2 A + Cot 4 A = Cosec 4 A - Cot 2 A

Step-by-step explanation:

Taking LHS  :

⇒Cosec 2 A + Cot 4 A

⇒Cosec 2 A + ( Cot 2 A )2

⇒Cosec 2 A + ( Cosec 2 A - 1 )2  (  we know : 1 + Cot 2 θ =  Cosec 2 θ )

⇒Cosec 2 A +  Cosec 4 A  + 1  - 2 Cosec 2 A

⇒ Cosec 4 A  + 1  - Cosec 2 A

⇒ Cosec 4 A  + 1  - ( 1 + Cot 2 A)

⇒ Cosec 4 A  + 1  -  1 - Cot 2 A

⇒ Cosec 4 A  - Cot 2 A

or cosec2A+cosec4A=cotA-cot4A