Describe at least two differences between constructing parallel lines and constructing perpendicular lines

Answer:

√3/2

Step-by-step explanation:

This is compound angle of cosine

cos(11+19)

=cos(30)

=√3/2

Answer:

For weeks are 28 days, so the fraction is 28/8= 3,5 and the fraction is 7/2

The number of permutations of picking 4 pens from the box is 30.

There are six different unique colored pens in a box.

We have to select four pens from the different unique colored pens.

We have to find in how many different orders the four pens can be selected.

A permutation is the number of different arrangements of a set of items in a particular definite order.

The formula used for permutation of n items for r selection is:

    [tex]^nP_r = \frac{n!}{r!}[/tex]

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1

We have,

Number of colored pens = 6

n = 6.

Number of pens to be selected = 4

r = 4

Applying the permutation formula.

We get,

= [tex]^6P_4[/tex]

= 6! / 4!

=(6x5x4x3x2x1 ) / ( 4x3x2x1)

= 6x5

=30

Thus the number of permutations of picking  4 pens from a total of 6 unique colored pens in the box is 30.

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The total cost to run Val’s AC costs for a summer month of 30 days is $94.5.

Quantity of electricity used in kilowatts

1000 watts = 1 kilowatts

2,500 watts = 2.5 kilowatts

Cost of Val’s AC to run for a summer month of 30 days = Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity

= 2.5 × 7 × 30 × 0.18

= $94.5

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Answer:

m = 3/2

Step-by-step explanation:

-7(m-1)= -(3m-1)

-7m + 7 = -3m + 1

-4m = -6

m = 3/2

Check.
-7(m-1)= -(3m-1)

-7(3/2 - 1) = -(3*3/2 - 1)

-7(1/2) = -(4.5 - 1)

-3.5 = -3.5

Use the distributive property to multiply −7 by m−1.

To find the opposite of 3m−1, find the opposite of each term.

The opposite of −1 is 1.

Add 3m to both sides.

Combine −7m and 3m to get −4m.

Subtract 7 from both sides.

Subtract 7 from 1 to get −6.

Divide both sides by −4.

Reduce the fraction -6/-4 to its lowest expression by extracting and canceling −2.

Answer: m=3/4 ✅

a. The value of v is 9.2

b. The value of u is 9.9

Vectors are physical quantities that have both magnitude and direction

Since we have vectors

We resolve them into component form

So, u = -(ucos70°)i - (usin70°)j

u = -(0.3420u)i - (0.9397u)j

v = -(vcos47°)i + (vsin47°)j

v = -(0.6820v)i - (0.7314v)j

w = (wcos15°)i + (wsin15°)j

w = (0.9659w)i + (0.2588w)j

w = (9.659)i + (2.588)j

Since the sum of the three vectors is zero, we have that

u + v + w = 0

u + v = -w

So,

-(0.3420u)i - (0.9397u)j + [-(0.6820v)i - (0.7314v)j] = -[(9.659)i + (2.588)j]

-(0.3420u)i - (0.9397u)j -(0.6820v)i - (0.7314v)j = -(9.659)i - (2.588)j]

-(0.3420u)i -(0.6820v)i - (0.9397u)j - (0.7314v)j = -(9.659)i - (2.588)j]

-[0.3420u + 0.6820v]i - [0.9397u + 0.7314v]j = -(9.659)i - (2.588)j

Equating i components, we have

-[0.3420u + 0.6820v]i = -9.659i

0.3420u + 0.6820v = 9.659

Dividing through by 0.3420. we have

u + 1.994v = 28.242 (1) and

Also, equating j components, we have

- [0.9397u + 0.7314v]j = -2.588j

0.9397u + 0.7314v = 2.588  

Dividing through by 0.9397 we have

u + 0.778v = 2.754 (2)

Subracring equation (2) from(1),we have

u + 1.994v = 28.242 (1)

-

u + 0.778v = 2.754 (2)

2.772v = 25.488

v = 25.488/2.772

v = 9.19

v ≅ 9.2

The value of v is 9.2

Substituting v into (1), we have

u + 1.994v = 28.242 (1)

u + 1.994(9.19) = 28.242

u + 18.325 = 28.242

u = 28.242 - 18.325

u = 9.917

u ≅ 9.9

The value of u is 9.2

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Answer:

The Malaysia police departments statement was true, because 14/30 is extremely close to 54% (roughly 15.5/30).

Type: Probability

Answer:

x = 12cos(35)

Step-by-step explanation:

Well you have hyp and adj, meaning cosine. and u have the angle and need the adjacent, so side(cos(theta)).

12cos(35).

Answer:

I think that I am right.  One train is traveling at 75 mph and the other train is traveling at 91 mph

Step-by-step explanation:

The number of cases after two years is 221.

As a result of the disease, the population of the village would decrease by 95% per year. The number of cases at the village is function of the rate of infection, the number of years and the beginning number of cases.

The exponential function that can be used to represent this situation is:

FV = P( 1 + r)^t

FV = 200 (1.05)^2 = 221

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Answer:

1 13/30

Step-by-step explanation:

10/12 + 6/10 =

= 5/6 + 3/5

= 25/30 + 18/30

= 43/30

= 30/30 + 13/30

= 1 13/30

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Equation:}[/tex]

[tex]\mathsf{\dfrac{10}{12} + \dfrac{6}{10}}[/tex]

[tex]\huge\textsf{Solving:}[/tex]

[tex]\mathsf{\dfrac{10}{12} + \dfrac{6}{10}}[/tex]

[tex]\mathsf{= \dfrac{10\div2}{12\div2} + \dfrac{6\div2}{10\div2}}[/tex]

[tex]\mathsf{= \dfrac{5}{6} + \dfrac{3}{5}}[/tex]

[tex]\mathsf{= \dfrac{5\times5}{6\times5} + \dfrac{3\times6}{5\times6}}[/tex]

[tex]\mathsf{= \dfrac{25}{30} + \dfrac{18}{30}}[/tex]

[tex]\mathsf{= \dfrac{25 + 18}{30-0}}[/tex]

[tex]\mathsf{= \dfrac{25 + 18}{30}}[/tex]

[tex]\mathsf{= \dfrac{43}{30}}[/tex]

[tex]\approx\mathsf{1\dfrac{13}{30}}[/tex]

[tex]\huge\textsf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{1\dfrac{13}{30}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Sim wants to increase his waist size to 32.4 inches.

Sim wants the increase to be 8% of 30 inches.

The amount of increase Sim wants in his waist size exists

8% × 30 inches.

= 0.08 × 30 inches.

= 2.4 inches.

Adding the wanted increase to his present size would create Sim's waist size to be

30 in + 2.4 in = 32.4 inches.

Sim wants to increase his waist size to 32.4 inches.

Therefore, the correct answer is 32.4 inches.

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Answer:

Step-by-step explanation: -3/2 divided by 9/6

= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1

Hope this helps lol

The simplified result is -1. The correct option is b.

Given that:

Expression, -3/2 ÷ 9/6

To solve the given expression, follow as:

Rewrite the division as multiplication by the reciprocal of the second fraction.

-3/2 ÷ 9/6 = -3/2 × (6/9)

Now, simplify the fractions:

-3/2 × (6/9) = -3/2 × (2/3)

-3/2 × (6/9) = - (3 × 2)/(2 × 3)

-3/2 × (6/9) = -6/6

Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:

-6/6 = -1

So, the simplified result is -1. The correct option is b.

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Complete question:

Simplify Negative 3 over 2 divided by 9 over 6.

a. −4

b. −1

c. 4

d. 1

Answer:

36 years old

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

sum the parts of the ratio , 3 + 5 = 8

divide the sum of their ages by 8 to find the value of one part of the ratio

96 ÷ 8 = 12 ← value of 1 part of the ratio , then

3 parts = 3 × 12 = 36 ← Sadias age

Answer:

3/4

Step-by-step explanation:

plug values in for x till you get it right

Using the probability concept, considering complementary probabilities, there is a 0.12 = 12% probability that the integer is of 20 or more.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

If two events are complementary, the sum of their probabilities is of 1. In this problem, we have that an integer being less than 20 is complementary to an integer being 20 or more.

We have that:

These events are complementary, hence:

0.88 + x = 1

x = 1 - 0.88

x = 0.12

There is a 0.12 = 12% probability that the integer is of 20 or more.

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Samuel is incorrect because he didn't subtract the power of the numbers.

The number of rod and cone cells in the human eye is written in scientific notation. Scientific notation is used in expressing large numbers in smaller numbers. To write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, 1 x 10² is equivalent to 100

(9.1 x 10^7) - (4.5 x 10^6)

= (9.1 - 4.5) x 10^(7 - 6)

4.6 x 10 = 46

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Answer:

1575

Step-by-step explanation:

105

× 15

  525             ( First multiply 105 by 5 )

+1050             ( Then multiply 105 by 1.  Remember to place a 0 below 5 )

                      ( It is very important to write each and every number in a

                                                         straight line)

   1575             ( Now add them )  

∴ 105 × 15 = 1575

Step-by-step explanation:

shown above but I need words so

Answer:

  1.6 times   or   60% more than

Step-by-step explanation:

The question seems to be asking about the growth factor in the given exponential function.

A generic exponential function will have the form ...

  quantity = (initial value) × (growth factor)^(number of intervals)

Comparing this form to the given formula ...

  f(x) = 58 × 1.6^x

we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.

Each year the expected number of birds is 1.6 times the number the year before.

__

Additional comment

A growth factor is sometimes expressed in terms of a growth rate, usually a percentage.

  growth factor = 1 + growth rate

  1.6 = 1 + 0.60 = 1 + 60%

The growth rate of this bird population is 60% per year. Each year, the population is 60% more than the year before.

Answer: 1.6

Step-by-step explanation:

Answer: The slope is -2 and the y-intercept is (0,1)

Step-by-step explanation:

Answer: 55

Step-by-step explanation:

Congruent angles intercept congruent chords, so since the circumference of a circle is 360 degrees, the arc angle 1 is inscribed in measures 110 degrees.

So, by the inscribed angle theorem, angle 1 measures 55 degrees.

Congruent angles intercept congruent chords, so since the circumference of a circle exists 360 degrees, arc angle 1 exists inscribed in measures 110 degrees.

So, by the inscribed angle theorem, angle 1 measures 55 degrees.

Congruent angles exist as two or more angles that exist identical to each other. Therefore, the measure of these angles exists equivalent to each other. The kind of angles does not create any distinction in the congruence of angles, which implies they can be acute, obtuse, exterior, or interior angles.

The Inscribed Angle Theorem states that the measure of an inscribed angle exists half the measure of its intercepted arc. Inscribed angles that intercept the exact arc exist congruent. This exists named the Congruent Inscribed Angles Theorem and exists shown below.

∠ A D B and ∠ A C B intercept, so m ∠ A D B = m ∠ A C B.

Congruent angles intercept congruent chords, so since the circumference of a circle exists 360 degrees, arc angle 1 exists inscribed in measures 110 degrees.

So, by the inscribed angle theorem, angle 1 measures 55 degrees.

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The probability that the instructor asks one of Sam and John whose probabilities of being asked are as indicated in the task content is; 0.12.

It follows from the task content that the probability that Sam is being asked is; 0.05 while that for John being asked is; 0.07.

Consequently, we may conclude that the probability of either of the two classmates being asked the question in discuss is; the sum of the probabilities and hence, we have;

P(Sam or John) = 0.05 + 0.07

= 0.12.

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Answer: [tex]y=\frac{1}{2}x+3[/tex]

Step-by-step explanation:

We can solve this by using the point-slope form, which can help get the equation of a line given the slope of the line and a point on the line. Slope-intercept form is the form [tex]y=mx+b[/tex], and we can convert from point-slope form to this with simple algebra.

The point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope of the line, and [tex](x_1,y_1)[/tex] is the point.

We know that the line is parallel to [tex]y=\frac{1}{2}x+2[/tex], which means it will have the same slope. The slope of this line is [tex]\frac{1}{2}[/tex], so the slope of any line parallel to it will also be [tex]\frac{1}{2}[/tex].

[tex]y-5=\frac{1}{2}(x-4)\\y-5=\frac{1}{2}x-2\\y=\frac{1}{2}x+3[/tex]

=============================================================

Explanation:

The probability of getting heads is 1/2 because there's one side we want out of two sides total

The probability of getting less than 3 is 2/6 = 1/3 since we have two sides we want (rolling a "1" or a "2") out of six sides total.

Multiply the two mentioned fractions: 1/2 times 1/3 = 1/6

1/6 can be written as "one sixth", but I prefer the first format better since it's shorter.

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

If you are a visual learner, you can make a table with 2 rows and 6 columns, or vice versa (6 rows and 2 columns). The order doesn't matter.

The two rows represent the events Heads or Tails. The 6 columns show the different outcomes on the number cube. We have 6*2 = 12 different outcomes of rolling a die and flipping a coin.

Of those 12 outcomes, shade in 2 boxes to represent getting heads and either a "1" or "2". Refer to the diagram below.

We have 2 shaded rectangles out of 12 total to get 2/12 = 1/6

The visual representation of a table like this may help show why we multiplied the fractions 1/2 and 1/3 to get the answer. Hint: think of area = length*width.

The probability of getting heads on the coin and a number less than 3 on the number cube is 1/6, Option A is correct.

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

A coin is flipped, and a number cube is rolled.

We need to find the probability of getting heads on the coin and a number less than 3 on the number cube.

The probability of getting heads when flipping a coin is 1/2

The probability of getting less than 3 is 2/6 = 1/3 since we have two sides

Now  the probability of getting heads on the coin and a number less than 3 on the number cube

The product of 1/2 and 1/3

1/2×1/3

1/6

Hence, the probability of getting heads on the coin and a number less than 3 on the number cube is 1/6, Option A is correct.

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There are 151200 distinct ways to arrange the letters of the word CONNECTION

The word is given as:

CONNECTION

In the above word, we have the following parameters:

Total number of characters, n = 10

The repeated letters are:

C's = 2

O's = 2

N's = 3

The number of arrangements of the letters is then calculated as:

Arrangements = n!/(C! * O! * N!)

Substitute the known values in the above equation

Arrangements =  10!/(2! * 2! * 3!)

Evaluate the expression

Arrangements =  151200

Hence, there are 151200 distinct ways to arrange the letters of the word CONNECTION

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The value of a is 3√2 inches if it is given that the hypotenuse is c = a√2 and 6 = a√2. This can be obtained by using Pythagoras' theorem.

This question can be solved using Pythagoras' theorem,

If in a right angled triangle, hypotenuse is the longest side of the triangle and always opposite to the angle 90°, height and base are the two shorter sides which are adjacent to the angle 90°.

If hypotenuse = c, height = a and base = b then,

⇒ hypotenuse² = height² + base²

⇒ c² = a² + b²

Here in the question it is given that,

By using the Pythagoras' theorem we can write that,

⇒ hypotenuse² = height² + base²

⇒  6² =  a² + a²

⇒  36 =  2a²

By dividing both sides of the equation by 2,

⇒  18 =  a²

⇒  a² = 18

By taking square on both side of the equation,

⇒ a = 3√2 inches

Hence the value of a is 3√2 inches if it is given that the hypotenuse is        c = a√2 and 6 = a√2.

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Thee diagonal of the rectangle is 13.86 cm long.

We are given that;

Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;

W = 2L - 9

Area formula for a rectangle is;

A = Length * Width

We are given area of rectangle = 96 cm²

Thus;

L(2L - 9) = 96

2L² - 9L = 96

2L² - 9L - 96 = 0

Using online quadratic equation calculator gives;

L = 9.53 cm

Thus;

W = 2(9.53) - 9

W = 19.06 - 9

W = 10.06 cm

The diagonal of the triangle will be gotten from Pythagoras theorem;

D = √(9.53² + 10.06²)

D = √192.0245

D = 13.86 cm

Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.

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Answer:

Second one from the left

Answer:

b

Step-by-step explanation:

edg 22'