A square has a side length of 12 meters. This square is dilated by a scale factor of 3\4 to create a new square. What is the side length of the new square?

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

We need to calculate 3200 ÷ 20:

Then: 3200 ÷ 20 = 160

Answer:

I think its C

Step-by-step explanation:

Answer:

Step-by-step explanation:

a, e, f

I think the answer is C

c∥d by the converse of the same-side interior angles theorem.

If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

Given:

m∠3+m∠8=180°

As, we can see that <3 and <8 are lies on same side of transversal.

So, the line that are parallel are c and d converse of the same-side interior angles theorem.

Hence, c∥ d by the converse of the same-side interior angles theorem.

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Answer:

Explanation:

A linear equation can be graphed in a simple manner. We just have to find two points that lie on the line of the equation and then connect them to produce a line.

Now what two points lie on 7x + 3y = 12?

Well, let us pick a point where x = 0. What is the y-coordinate? Putting x = 0 into our equation gives

diving both sides by 3 gives

Hence a point with x = 0, y= 4 lies on the line. In other words, (0, 4) lies on the line.

We now need to find a second point that lies on the line. How about

Answer: a to the power 13

Step-by-step explanation: identity: a^m × a^n= a^m+n

^ means 'to the power'

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(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer:

Step-by-step explanation:

Ratio of length : width = 4 : 7

Length = 4x

Width = 7x

Longer side = 31.5 in

⇒ 7x = 31.5

Divide both sides by 7

x = 31.5/7

x = 4.5

length = 4x

           = 4*4.5

         l = 18 in

width =  31.5

       w = 31.5 in

\(\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}\)

                                      = 2*18 + 2*31.5

                                      = 36 +  63

                                      = 99 in

\(\boxed{ \text{Area of rectangle = l*w}}\)

                             = 18*31.5

                             =  567 in²

Answer:

13/52 * 12/51

Step-by-step explanation:

Given the question :

Probability of drawing two hearts from a card deck when picked without replacement :

Number of cards in deck = 52

Number of hearts in card deck = 13

Probability = required outcome / Total possible outcomes

First pick (p1) :

P(picking a heart) = 13 / 52

Second pick ( without replacement) (p2):

P(picking a heart) = 12 / 51

Hence,

P(heart on first and Second pick) :

P1 × P2

= 13/52 * 12/51

Answer:

x = 8

Step-by-step explanation:

8x + 9 = 41 + 4x

4x = 32

x = 8

Answer:

\( z = \frac{216-222}{\frac{15}{\sqrt{26}}}= -2.040\)

And we can find this probability on this way:

\(P(z<-2.040)=0.0207\)

Step-by-step explanation:

Let X the random variable that represent the lenghts of the pregnencies of a population, and for this case we know the distribution for X is given by:

\(X \sim N(222,15)\)  

Where \(\mu=222\) and \(\sigma=15\)

We are interested on this probability

\(P(\bar X<216)\)

The z score formula is given by:

\(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)

And if we find the z score we got:

\( z = \frac{216-222}{\frac{15}{\sqrt{26}}}= -2.040\)

And we can find this probability on this way:

\(P(z<-2.040)=0.0207\)

Answer:

A.    {-13, -5}.

Step-by-step explanation:

|k + 9| = 4

k + 9 = 4  so k = -5.

k + 9 = -4 so k = -13.

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

Not a function

Step-by-step explanation:

Not a function because -2 in Set A has 2 different possible answers in Set B

Answer: is not a function

Step-by-step explanation:

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

General equation of a line perpendicular to y = − 2x + 3 is y = 1/2x + k where is the k is the y intercept.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

\(135^\circ\)

Step-by-step explanation:

Given that, a regular octagon is to be constructed.

To find:

Each angle in the octagon = ?

Solution:

We know that a regular triangle (polygon with 3 sides) has an interior angle of \(60^\circ\).

And a regular quadrilateral (square) has an interior angle of \(90^\circ\).

Therefore, formula for interior angle of a regular polygon with \(n\) number of sides can be given as:

\(\dfrac{n-2}{n}\times 180^\circ\)

For an octagon, we have \(n=8\).

Value of Interior angle in a regular octagon:

\(\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}\)

Kindly refer to the attached image for the angle of \(135^\circ\)

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

The transformation in the picture is option c Reflection.

Given,

Reflection transformation:

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.

According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.

Here,

In the picture the transformation is reflection.

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Answer:

Step-by-step explanation:

\(\frac{3}{n}\) - 10.

The quotient of 3 and a number translates to \(\frac{3}{n}\), then, all you have to do is subtract 10 from that value, giving the expression above.

Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

Answer:

D. The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

if the playable area is 54 and that such ratio of dimensions is 3:2

Then we are basically being asked to find the factor of ratios below that also multiply to get 54

54 = 9 x 6 and this is also a ratio of 3:2

As 3(3 + 2) = 54

and as width was asked first when ratio was given 3:2

The width therefore is 9 and the height is 6

So answer is D

Answer:

D

Step-by-step explanation:

This is because the y-int is closest to 9 and we can estimate that it is probably 9 over 10 or 11

Answer:

median is 2

mean is 6.333

Step-by-step explanation:

arranging values in ascending or descending order you pick the middle for odd numbers which is 2. mean is sum of the total data divided by the number of items in the set which is 2+8+4+10+6+8 divide by 6 which is 6.333

Using shifting concepts, it is found that the correct option is:

The original function is:

\(y = \sqrt{x}\)

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Answer:

Nick will have to pay $63.56 for the shoes.

Step-by-step explanation:

f the original cost of the shoes is $56.75 and the markup is 12% greater than the original price, the final price would be $63.56.

$56.75 • 0.12 = $6.81

$56.75 + $6.81 = $63.56

$56.75 + 12% = $63.56

Answer:

Nick will have to pay $63.56 for the shoes.

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)

Answer:

Step-by-step explanation:

Wow, that’s interesting!

Is this a question?

Answer: 1152 sq m

Step-by-step explanation: 24x24=576+ 24x24=576 so 576+576