A radio station has a broadcast area in the shape of a circle with equation x^2+y^2=5 625

Answers

Answer 1

Answer: let us assume that the center of the circle is (0,0)

(x-h)² + (y-k)² = r²
x² + y² = 5,625

r² = 5,625
r = √5,625
r = 75

Area of a circle = π * r²
A = 3.14 * (75mi)²
A = 3.14 * 5,625 mi²
A = 17,662.50 mi²

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A student is attempting to solve a multi-step equation. Sample mathematical work is shown below. Which statement best applies to the sample mathematical work?Given the equation -m/2+8=-1/3, I must solve for m. I first subtract 8 from both sides, which gives me -m/2=-25/3 then multiply both sides by –2, which gives me the final answer of m=50/3
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A gallon of latex paint can cover 300 square feet. Felix has a pentagonal room in which all the sides have the same lenth of 10 feet thr room has a 8 foot celings how many gallon containers of paint does he need to buy to paint two coats on each wall

Answers

area of each wall is 10*8 = 80 square feet
there are 5 walls so total wall area is 5*80=400
he needs two coats on each wall so he needs to cover 2*400=800 square feet

so he needs to buy 3 galon containers

If line segment is 100 feet, and line segment is 80 feet, what is the length of line segment ?

Answers

which, in theory, would be the third side of the triangle formed by these three lines, would be 60 feet.

Ax+by=c, how would I solve for y

Answers

Solving for y means trying to get the equation into the form y= _____. So, let's say that we are going to keep the y value on the left side of the equation.

First, we would subtract ax from both sides. This results in the equation by=c-ax.

Next, we figure out that y has a coefficient of b. They are combined together by multiplication, so to undo this operation, we need to divide both sides by b.

If done correctly, your final answer should be $(c-ax)/(b)$ . Or, y=c-ax/b

Uses of partial fraction in daily life

Answers

Uses of partial fraction in daily life consist of money and other uses may consist of food portions and also weighing kilos grams and ounces

Final answer:

Partial fractions are used in numerous aspects of everyday life, especially in fields requiring mathematical calculations. This includes engineering, calculus, computer science, signal processing, and electrical circuits. While we may not directly observe their use, their applications make many of our daily operations possible.

Explanation:

The concept of partial fractions is widely used in numerous aspects of our daily life, especially in fields that require mathematical calculations. Partial fractions make complex mathematical processes simpler and easier to solve.

For instance, in the field of engineering, partial fractions are used to simplify complex fractions in control system design, particularly in Laplace Transform. Moreover, it's also used in calculus to integrate rational functions.

In the realm of computer science, partial fractions can assist with algorithm efficiency when dealing with fractions or rational numbers. They are also used in signal processing and electrical circuits, which are a major part of our daily life as most electronics operate on these principles.

In everyday life, the use of partial fractions might not be directly observed but their applications in various fields make many of our daily life operations and technologies possible.

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The Braves played a 9 inning baseball game. For every inning they scored 4 runs, and for every 2 runs they scored, they had 5 hits. How many hits did they have during the game?

Answers

Answer: $90\ hits$

Step-by-step explanation:

Let be "r" the total number of runs they scored during the game and "h" the total number of hits they had during the game.

You know that they play a total of 9 innings and they scored 4 runs in every inning.

This means that you can find the total number of runs they scored in 9 innings by multiplying 4 runs by 9. Then:

$r=(4)(9)\n\nr=36$

Knowing that they scored a total of 36 runs, and knowing that for every 2 runs they had 5 hits, you get that the total number of hits they had during the game is:

$h=((36)(5))/((2))\n\nh=90$

Find the GCF of each pair of numb 5 and 40

Answers

Answer: The GCF of 5 and 40 is 5

Step-by-step explanation:

The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly. To find the GCF of 5 and 40, we can list the factors of each number and find their common factors.

The factors of 5 are 1 and 5. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

To find the common factors, we can compare the factors of 5 and 40:

- Both 5 and 40 have 1 as a factor.

- However, 5 is not a factor of 40.

Therefore, the GCF of 5 and 40 is 1, as it is the largest number that divides both 5 and 40 evenly.

Another way to find the GCF is by using prime factorization. Let's find the prime factorization of 5 and 40:

- The prime factorization of 5 is 5.

- The prime factorization of 40 is 2 * 2 * 2 * 5.

To find the GCF, we take the common prime factors with the lowest exponents. In this case, the common prime factor is 5.

So, the GCF of 5 and 40 is 5.

Final answer:

The GCF of 5 and 40 is 5.

Explanation:

To find the GCF of 5 and 40, we can list the factors of each number and find the largest common factor.

Factors of 5: 1, 5

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The common factors of 5 and 40 are 1 and 5. The largest common factor is 5.

Therefore, the GCF of 5 and 40 is 5.

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