a rectangular photograph is 4 inches wide and 6 inches long. The photograph is enlarged by increasing the length and width by an equal amount. If the area of the new photograph is twice as large as the oringinal area, what are the dimensions of the new photograph?

Follow below steps:

The problem involves finding the radius of a quarter circle given its perimeter. The perimeter of a full circle is known as its circumference, represented by the formula C = 2πr for a circle of radius r. However, for a quarter circle, only 1/4 of this circumference plus twice the radius (the straight sides of the quarter circle) constitutes the perimeter. Therefore, the perimeter (P) can be expressed as P = (πr)/2 + 2r.

Given that the perimeter is 32.13, we use the formula to set up the equation 32.13 = (πr)/2 + 2r. To solve for r, combine the like terms to get (2 + π/2)r = 32.13 and then isolate r by dividing both sides of the equation by (2 + π/2). Using the approximate value of π = 3.14159, you continue with the arithmetic to find the exact value of the radius.

Remember that precision is important in mathematics. When providing an answer, consider the number of significant figures supplied in the given data and maintain the same level of precision in the final answer.

The radius of the quarter circle is 20.48 units.

To find the radius of a quarter circle given its perimeter, we can start by understanding the formula for the perimeter of a circle.

The perimeter of a full circle is given by [tex]\( P = 2\pi r \)[/tex], where [tex]\( r \)[/tex] is the radius of the circle. Since we are dealing with a quarter circle, the perimeter would be one-fourth of the perimeter of a full circle.

The radius of the quarter circle as [tex]\( R \)[/tex]. Then, the perimeter of the quarter circle is [tex]\( \frac{1}{4} \times 2\pi R = \frac{\pi R}{2} \)[/tex].

The perimeter of the quarter circle is 32.13 units, we can set up the equation:

[tex]\[ \frac{\pi R}{2} = 32.13 \][/tex]

To solve for [tex]\( R \)[/tex], isolate it by multiplying both sides of the equation by [tex]\( \frac{2}{\pi} \)[/tex]:

[tex]\[ R = 2 \times \frac{32.13}{\pi} \][/tex]

[tex]\[ R \approx 20.48 \][/tex]

the general rule for estimating is to look at the digit to the right of the digit you want to estimate. Estimating or rounding to the nearest whole number means looking at the digit to the right of the decimal. if you see a digit greater than 5,round up, an if it's less than 5, round down. we would go to the right of 18.3 which would be (6.37), so we're going to to round that to the nearest whole number which would be 7 because it's more than 5. this shows how you estimate 18.3 an (6.37) hope this helps have a good day♡

The solution to the equation is 6 if equation is 6(2x - 11) + 15 = 21 the answer is 6.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a mathematical equation:

6(2x - 11) + 15 = 21

DIstributive property:

12x - 66 + 15 = 21

Subtraction property:

12x -51 = 21

Add 51 on both side:

12x -51 + 51 = 21 + 51

12x = 72   (adding like terms)

x = 6 (divide by 12 on both side)

Thus, the solution to the equation is 6 if equation is 6(2x - 11) + 15 = 21 the answer is 6.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer: If AC = 15 and BC = 12, AB = 9

If AC = 14 and BC = 11, 9 > AB > 8

Radius = AB = 8.66...

IDO NOT KNOW SORRY IF IT DIDNT HELP

Answer: The answer is 8.7  :)

[tex]\silver\ per\ gold\\\\\dfrac{75\ silver}{15\ gold}=\dfrac{75}{15}\ silver\ per\ gold=5\ silver\ per\ gold\\\\Answer:\ C.\ 5[/tex]

Answer:

C bc i know

Step-by-step explanation:

Final answer:

Abigail will need to use 0.8 cup of flour to make 60% more pancakes than the original recipe.

Explanation:

To determine how much flour Abigail needs to use, we can set up a proportion based on the increase in the number of pancakes. If her mother's recipe calls for 1/2 cup of flour for a certain number of pancakes, and Abigail wants to make 60% more pancakes, then she will need 60% more flour. To calculate the amount of flour, we can multiply the original amount by 1.6 (which is 100% + 60%).

Flour needed = 1/2 cup * 1.6 = 0.8 cup

Therefore, Abigail will need to use 0.8 cup of flour to make 60% more pancakes than the original recipe.

Ben builds ladders of different heights and put the number of rungs depending upon height of any particular ladder. He uses an equation for this construction that is given by :-

r = h ÷ 0.8

where h is the height of the ladder and r is the number of rungs in that ladder.

As we increase the height of the ladder, we need more rungs. If we decrease height, we would need lesser rungs.

Thereby, the number of rungs depend on the height of the ladder. It means value of r depends on value of h.

So r is dependent variable, and h is the independent variable.

Hence, option A is correct i.e. the height of the ladder.

The distance from the edge of Frank's garden to the center of the garden is about 2.815 feet.

To find the approximate distance from the edge of Frank's garden to the center, we first need to determine the radius of the circular garden. We are given the area (A) of the garden, which is 100 square feet. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

We can rearrange the formula to solve for the radius:

r² = A / π

Now, plug in the given area:

r² = 100 ft² / π

Calculate the square of π (approximately 3.1416):

r² = 100 / 3.1416

r² = 31.8309

Now, find the square root of r² to get the radius:

r ≈ √31.8309

r = 5.63 ft

Now that we have the radius, we can find the distance from the edge to the center. In a circle, the distance from the edge to the center is half the radius. So, we can calculate this as follows:

Distance from edge to center ≈ (1/2) * radius

Distance from edge to center ≈ (1/2) * 5.63 ft

Distance from edge to center ≈ 2.815 ft