Work out the size of X

Work Shown:

I'm assuming earlier above it mentions the triangles are similar.

If so, then,

LJ/RP = KJ/QP

28/42 = x/33

28*33 = 42*x

x = 28*33/42

x = 22

Answer:

the length of the square is (2x+3)

Step-by-step explanation:

hope it helps<333

The answer of the given question based on the cylinder is ,  the volume of the solid = 929.44  inch³ . , the mistake is student may have only calculated the volume of the inner cylinder.

What is Volume?

Volume is amount of three-dimensional space occupied by object or substance. It is  physical quantity that is measured in cubic units, like cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³). The volume of  object can be calculated by measuring its dimensions and using  mathematical formula specific to its shape.

To find volume of  solid, we need to subtract  volume of  inner cylinder from  volume of outer cylinder.

Volume of the outer cylinder = πr²h

where r = radius of the outer cylinder = 4 inches (diameter is given as 8 inches)

h = height of the outer cylinder = 23 inches

Volume of the outer cylinder = π(4)²(23) = 368π in³

Volume of the inner cylinder = πr²h

where r = radius of the inner cylinder = 2 inches

h = height of the inner cylinder = 18 inches

Volume of the inner cylinder = π(2)²(18) = 72π in³

So, the volume of the solid = Volume of the outer cylinder - Volume of the inner cylinder

= 368π - 72π

= 296π

= 929.44  inch³

The student's answer of 988.05 in³ is significantly higher than the correct answer, suggesting that the student may have only calculated the volume of the inner cylinder instead of subtracting it from the volume of the outer cylinder. This mistake may have arisen due to misreading the problem or misunderstanding the instructions.

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a) Possible sources of bias include human error in reading the tape measure, tape measure stretching or shrinking over time, and the angle of the tape measure affecting the measurement. b) A cloth tape is more subject to bias. c) The bias in a cloth tape may change over time due to stretching or shrinking.

a) Possible sources of bias when using a tape measure could include: inaccurate or worn markings on the tape, parallax error due to viewing the tape at an angle, inconsistent tension on the tape, or user error in lining up the tape measure with the object being measured.

b) A cloth tape is generally more subject to bias than a steel tape because it is more likely to stretch or shrink with use and temperature changes, leading to inaccuracies in measurement.

c) Yes, the bias in a cloth tape may change over time due to stretching, shrinking, or wear and tear. It is important to regularly check and calibrate tape measures to ensure accurate measurements.

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Answer:

83,900

Step-by-step explanation:

100/33560 = 250/x

There are 2 options to solve. You can cross multiply:

100x = 33560*250

100x = 8,390,000 Divide by 100

x = 83,900

I also see that you start with 100 naira and want to see the value at 250 naira.

250 is 2.5 times 100. If you take the original 33560 fr and multiply that by 2.5, you will get 83,900.

Answer:

1. 12hrs

2. 2hrs

Step-by-step explanation:

4:00pm is 2 hrs from 6:00pm

5:00am is 12hrs from 5:00pm

1. True. The PESTLE framework categorizes environmental influences into six main types: Political, Economic, Sociocultural, Technological, Legal, and Environmental factors.

These factors help analyze the external macro-environmental forces that can impact an organization's strategies and operations. 2. False. The PESTLE framework analyzes the macro-environmental factors and not the micro-environment of organizations. The micro-environment is examined through other frameworks like Porter's Five Forces, which focus on specific industry dynamics and competitive factors.

3. True. Economic forces, such as inflation, interest rates, exchange rates, and economic growth, are one of the types included in the PESTLE framework. Economic factors play a significant role in shaping business decisions and strategies.

4. False. An organization's strengths are not part of the types studied in the PESTLE framework. Strengths, weaknesses, opportunities, and threats (SWOT) analysis is a separate framework used to assess internal strengths and weaknesses of an organization.

5. True. The PESTLE framework provides a comprehensive list of influences on the possible success or failure of strategies. By considering the political, economic, sociocultural, technological, legal, and environmental factors, organizations can gain insights into the external forces that may impact their strategies and make informed decisions.

The PESTLE framework categorizes environmental influences into six main types, including political, economic, sociocultural, technological, legal, and environmental factors. It analyzes the macro-environmental forces, not the micro-environment of organizations. Economic forces are one of the types studied in the framework, while an organization's strengths are not included. The framework provides a comprehensive list of influences on the success or failure of strategies, allowing organizations to consider various external factors in their decision-making process.

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Answer:

f = 1

y = 0

Solved for y

Step-by-step explanation:

Step  1  :

Pulling out like terms/ factors.

Step  2  :

Theory - Roots of a product .

Step 3 solving a Single Variable Equation.

Answers:

 f = 1

y = 0

Hope this helps.

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

Answer:

Step-by-step explanation:

23.7 < m = 8.3      m > 23.7

Answer:

(8.5, -4)

Step-by-step explanation:

The midpoint formula:  

The midpoint (x, y) = (the sum of the x-values/2,  the sum of the y-values/2

The midpoint  x, y) = (7 + 10)/2  , (-9 + 1)/2

The midpoint is (17/2, -8/2)  = (8.5, -4)

Answer:

(8.5, -4)

Step-by-step explanation:

(7+10)/2 = 8.5

(-9+1)/2 = -4

Answer:

slope is 2   y intercept 7

Step-by-step explanation:

The y intercept is the value when x =0

(0,7) means the y intercept is 7

We can find the slope using

m = (y2-y1)/(x2-x1)

m = ( 11-9)/(2-1)

   = 2/1

  = 2  

Answer:

10 percent

Step-by-step explanation:

Since the increase is 2 dollars, you divide 20 by 2 to see the percent increase. This equals ten percent.

Hope this helps! Happy friday:)

Answer:

Percent Increase = 10%

Step-by-step explanation:

$22-$20

= $2

Use percentage formula (percentage = increase in price *100 / Initial price)

2*100 / 20

= 200/20

= 10

Answer:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help

Step-by-step explanation:

After making the deposits, your new balance will be $12

Answer:

This is a tricky problem, don't feel bad for not knowing this  :/  I think this is too much in one question even :P  I'll give you the answers and how to get them but really it's going to be a lot to understand in one try.  Pay attention :P

Step-by-step explanation:

first graph the given table .. I use Desmos b/c it's handy

we want y = A\(x^{2}\) + bx + c

given   1st      2nd

5          -5          2

0         -3           2

-3        -1           2

-4        1           2

-3        3          2

0         5          2

5          7        

12        

A=2nd / 2  = 2/2 = 1

B=?

C= 5

x=1

y=12

y = a\(x^{2}\) + bx +c

12=\(1^{2}\) + b(1) +5

12=1+ b +5

6=b   :)

y = \(x^{2}\) + 6x +5       ( the answer to a) in the question )  

factor it

(x+5)(x+1)   ( answer to b) in the question

vertex form

y = a(x-h)2 + k

where  h = −b/2a

and k = f( h )

h=6/2(1) = 3

k = \(3^{2}\) + 6(3) +5

k=32

y =x-3 + 32  ( answer to c)   in question )

let me know if this worked for you  :)  ( I did this fast late at night :/ )

We have defined the criteria for SAS congruency of triangles.

What is SAS?

The SAS theorem states that "Triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle."

According to the SAS criteria for triangle similarity, two sides of one triangle are similar to two sides of another triangle if their included angles are congruent.

Hence, we have defined the criteria for SAS congruency of triangles.

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Answer:

B. 16 degrees

Step-by-step explanation:

Because all of the angles in a triangle add up to 180 degrees, you can set up an equation for this problem:

2x - 10 + 4x + 46 + 3x = 180

Start by consolidating everything by adding like terms.

9x + 36 = 180

Then subtract 36 from both sides.

9x = 144

Then divide both sides by 9 to get your x.

x = 16

Answer:

use the pythagorean theorem

Step-by-step explanation:

a²+b²=c²

Answer:

just look at the picture

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

There are 3,360,276 99-bit strings that contain more ones than zeros.

Consider two cases: strings with exactly 50 ones and strings with exactly 51 ones to determine the number of 99-bit strings that contain more ones than zeros.

Using the formula for combinations, we can calculate the number of 99-bit strings with exactly 50 ones as C(99, 50). This represents choosing 50 positions out of the 99 positions to place the ones.

Calculate the number of 99-bit strings with exactly 51 ones as C(99, 51), which represents choosing 51 positions out of the 99 positions for the ones.

Sum the two cases to find the total number of strings that contain more ones than zeros:

C(99, 50) + C(99, 51) = 99! / (50! × 49!) + 99! / (51! × 48!) = 3,360,276.

Therefore, there are 3,360,276 99-bit strings.

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Answer:

96 books with shelves that hold 9 books. Basic math, 9 goes into 96 ten times. However, he will be left with 6 books so he will need another shelf. He will need 11 shelves.

Step-by-step explanation:

I got this off of google i hope its right loll

Answer:

A

Step-by-step explanation:

Use pythagorean theorem: a^2+b^2=c^2

12^2+x^2=13^2

144+x^2=169

x^2=25

x=5

HTH :)

Answer: \(\boxed{Sol=\{\dfrac{7}{4} \}}\\\)

I suppose 17x^ means 17x².

and that we must solve the equation.

Step-by-step explanation:

\((x-3)(x-5)-(4x+1)(1-4x)=14x^2\\\\x^2-3x-5x+15+(4x+1)(4x-1)=17x^2\\\\x^2-8x+15+16x^2-1=17x^2\\\\-8x+14=0\\\\8x=14\\\\x=\dfrac{7}{4} \\\\\boxed{Sol=\{\dfrac{7}{4} \}}\\\)

To be able to make x/y table, we substitute any number as x in the given equation y = -1/3x - 2.

Let's create a table,

x solution y

-6 -1/3(-6) - 2 = 2 - 2 0

-3 -1/3(-3) - 2 = 1 - 2 -1

0 -1/3(0) -2 = 0 - 2 -2

3 -1/3(3) - 2 = -1 - 2 -3

6 -1/3(6) - 2 = -2 - 2 -4

The answer to the polynomial x^2 + 9x + 20 is x^2 + 9x + 20.

This is a second-degree polynomial, which is a polynomial with the highest power of the variable being 2. It is written in the standard form as ax^2 + bx + c, where a, b, and c are coefficients, and x is a variable. In this case, a = 1, b = 9, and c = 20.

To calculate this polynomial , we first substitute each value into the formula:

1x^2 + 9x + 20

Next, we multiply each coefficient with its corresponding variable:

1(x^2) + 9(x) + 20

Finally, we expand the terms and add them together to find the sum:

x^2 + 9x + 20

The answer to the polynomial x^2 + 9x + 20 is x^2 + 9x + 20.

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The probability of a particular event occurring is

d. conditional probability.

d. conditional probability.

Conditional probability is defined as the probability of an event occurring given that another event has occurred.

It is the probability of one event happening, given that we already know that another event has happened.

This type of probability is used when there is some additional information available that affects the likelihood of the event occurring.

For example, let's say we have a deck of cards with 52 cards in total, including 13 hearts. If we draw a card at random from the deck, the probability of getting a heart is 13/52 or 1/4.

However, if we know that the first card drawn was a heart and not replaced, the probability of drawing another heart from the deck will change because there are now only 12 hearts left out of 51 cards.

The probability of drawing another heart in this case will be 12/51, which is a conditional probability.

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The defect rate for your product has historically been about 1.50% For a sample size of 200, the upper and lower 3​-sigma  The upper control limit (UCL) is approximately 0.0450.

The upper control limit (UCL) for a 3-sigma control chart is given by:

\(\[UCL\) = defect rate + 3 * sqrt((defect rate * (1 - defect rate)) / sample size)

Substituting the values, where the defect rate is 1.50% (0.015) and the sample size is 200, we get:

\(\[UCL = 0.015 + 3 \times \sqrt{\frac{0.015 \times (1 - 0.015)}{200}}\]\)

Calculating this expression, we find:

\(\[UCL \approx 0.0450\]\)

Therefore, the upper control limit (UCL) is approximately 0.0450.

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Answer:

? =8.77

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side/ hypotenuse

sin 20 = 3 / ?

? = 3/ sin 20

? = 8.7714132

To the nearest hundredth

? =8.77