When searching for a lost animal, the search party often creates a circular area with a search radius. Two points of interest in the search are the last known locations the animal was sighted. The two points of interest in this case are the pet’s home, which is located at (-4,5), and the neighbor’s yard, located at (-9,10). If the pet’s home is the center of the circle and the neighbor's yard is on the circle, find the radius of the circle.

Answer:

8

Step-by-step explanation:

Answer:

The value of her investment after 2 Years is   £ 12362.70

Step-by-step explanation:

Given :  Mary invest £ 12000 in a savings account. The account pays 1.5% compound interest per year.

We have to find the value of her investment after 2 Years

Using formula for compound interest

[tex]A=P(1+r)^n[/tex]

where, A is amount

P is principal

r is rate of interest

n is time period

We have, P = £ 12000

t = 2 years

r = 1.5% = 0.015

Substitute, we have,

[tex]A=12000\left(1+0.015\right)^2[/tex]

Simplify, we have,

A =  £ 12362.70

The value of her investment after 2 Years is   £ 12362.70

To compare these two jobs, you need to have a common point. In this problem, you have to solve for the annual salary of the first job and compare it with the annual salary of the second job which is already given.

$12 per hour x 40 hours per week x 48 weeks in a year = $23,040

First job’s annual salary is $23,040

Second job’s annual salary is $22,000

Therefore, the job which pays $12 an hour pays more.

Latrell will earn more at the job that pays $12 per hour for a 40-hour workweek, which totals $24,960 per year, compared to the annual salary of $22,000 for a 45-hour workweek.

To determine which job pays more between an hourly wage job and an annual salary job, we need to calculate the total annual income for each option.

For the hourly wage job at $12 per hour for 40 hours a week:

For the annual salary job of $22,000 for 45 hours a week, the total annual income is:

Comparing the two annual incomes:

Therefore, the job that pays $12 per hour for 40 hours a week offers a higher annual income than the job with an annual salary of $22,000 for 45 hours a week.

Answer:

The answer is option C !!

Step-by-step explanation:

You should buy the phone at the electronic superstore at a 50% discount to get a better deal compared to the website.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 3% is two-hundredth, which means 3%=3/100=0.03.

Given that the cost of a smartphone =  $200

Discount offer = 50% off

So the amount to be paid = $200 - 0.50 × $200 = $100

Now by purchasing through the website cost of a smartphone = $200

Discount 25% so it will be $200 -0.25 × $200 = $150.

Other 25% off will be $150 - 0.25×$150 = $112.5 hence, it will good to buy the phone at the electronics superstore.

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Answer:

Step-by-step explanation:

The value of number 14 / 3 will be;

⇒ 14 / 3 = 4.6666.....

What is Number system?

A system of writing to express the number is called number system.

Given that;

The number is,

⇒ 14 / 3

Now,

Solve the expression by dividing the number as;

The number is,

⇒ 14 / 3

⇒ 3.6666666.....

⇒ 4.66⁻⁻⁻

Thus, The value of number 14 / 3 will be;

⇒ 14 / 3 = 4.66⁻⁻⁻

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Quadrilateral ABCD can be mapped onto quadrilateral EFGH by applying a factor scale of sqrt{2/3}, then by translating each vertex using the coordinates of quadrilateral EFGH. By performing these geometric transformations, you will find that the two quadrilaterals are similar.

This is a problem of mathematical transformation in the field of geometry. Quadrilateral ABCD can be mapped onto quadrilateral EFGH using a scale factor followed by a translation.

First, let's find the scale factor. The distance from A(-9,5) to B(-7,3) is sqrt{(7+9)2 + (3-5)2} = sqrt{4+4} = 2sqrt{2}.

The distance from E(-2.5,-4.5) to F(-1.5,-3.5) is sqrt{(2.5+1.5)2+(4.5+3.5)2} = sqrt{4+8} = 2sqrt{3}.

Hence, the scale factor is 2sqrt{2}/2sqrt{3} = sqrt{2}/sqrt{3} = sqrt{2/3}.

Next, to perform the translation, shift over all the vertices of quadrilateral ABCD by adding to their x-coordinates the difference between the x-coordinate of vertex E and the x-coordinate of vertex A (which, after scaled, is -9*sqrt{2/3}), as well as similarly adding to their y-coordinates the difference between the y-coordinate of vertex E and the y-coordinate of vertex A (which, after being scaled, is 5*sqrt{2/3}).

After carrying out the scaling and translation, quadrilateral ABCD will be exactly mapped onto quadrilateral EFGH, demonstrating that the two figures are similar.

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The number that when multiplied by itself 3 times equals 125 is 5.

To find the number that when multiplied by itself 3 times equals 125, we need to find the cube root of 125. The cube root of 125 is 5, so the number is 5.

The rectangle diagonally into 2 right triangles: one with base 5 and height 13, another with base 12 and height 5. Doubling their areas (5*13+12*5) gives 180!

The area of a rectangle with a base of 5 cm and a height of 13 cm is indeed 180 square centimeters..

Here's a simpler explanation:

Imagine slicing the rectangle diagonally into two right triangles. One triangle has base 5 cm and height 13 cm. The other triangle has base 12 cm and height 5 cm (using Pythagoras to find the missing side).

Now, the area of the rectangle equals the sum of the areas of these two triangles. Adding their areas (5 * 13 + 12 * 5) gives us 65 + 60, totaling 180 square centimeters.

Therefore, the true area of the rectangle is 180 square centimeters, not 65 or any multiple of the individual base and height alone. This hidden relationship between the diagonal and sides creates the surprising answer.