The spiral in the picture is made from 45° right triangles. The smallest triangle (red) has a side length of 1. You can use the Pythagorean theorem to find the length of its hypotenuse. The next (orange) triangle has a side length exactly matching the hypotenuse of the smallest triangle, and so on with the larger triangles of other colors. The lengths of the hypotenuses of all the triangles (starting with the smallest) make a geometric sequence. What is the ratio of the sequence?

The area of the object will be 63 square inches. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches.

All the dimensions are shown in the figure.

Then the area of the geometry is the combination of two rectangle and one triangle.

Area = area of rectangle 1 + area of rectangle 2 + area of triangle 3

Area = 5 x 8 + 4 x 5 + (1/2) x 3 x 2

Area = 40 + 20 + 3

Area = 63 square inches

Then the correct option is C.

More about the geometry link is given below.

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To find (f * f)(3) for the function f(x) = x² - x, we calculate f(3) to get 6, and then square it to get 36.

The question is asking to calculate (f * f)(3) given the function f(x) = x² - x. To do this, we find the value of f(x) for x=3 and then square that result. First, let's compute f(3).

f(3) = (3)² - (3) = 9 - 3 = 6.

Now, we find (f * f)(3), which means f(3) * f(3).

(f * f)(3) = f(3) * f(3) = 6 * 6 = 36.

Therefore, the solution to (f * f)(3) is 36.

The answer you are looking for is 0.25%.

To find this, you must first divide 4 by 1,600, to find the decimal amount of people who said they wouldn't go again. This would give you 0.0025, which you then multiply by 100 to make a percentage. Thus making 0.25%, the correct answer.

I hope this helps!

Answer:

0.25 percent

Step-by-step explanation:

Answer:

The answer are the options C and D

x equals negative square root of [tex]289[/tex]

x equals positive square root of [tex]289[/tex]

Step-by-step explanation:

we have

[tex]x^{2} =289[/tex]

Take square root both sides

[tex]x=(+/-)\sqrt{289}[/tex]

therefore

the solutions are

[tex]x=+\sqrt{289}[/tex]

[tex]x=-\sqrt{289}[/tex]

Answer:

YoOoooo its 7 units

Step-by-step explanation:

Answer: This shows, 'After 4 days, 88 boats will have passed under the bridge'.

Explanation:

Since, According to the question, Jacksonville allows an average of 22 boats per day to pass.

Thus we can say that number of boats is dependent on days and both are varying.

And, a function is the type of y=f(x), where x is independent variable while y is dependent variable.

So, we can take x for representing number of days and y for representing number of boats.

Thus, according to the question,  y= 22x.

if we take 4 days i.e. x=4 then y=22×4=88

⇒It takes 4 days for an average of 88 boats.

Which is showing by (4,88) on the given graph.

A= x^3−6x^2y+12xy^2−8y^3

Answer: 28.26 square yards

Step-by-step explanation:

The diameter is twice the radius, so if the diameter is 6, the radius is 3.

[tex]A=\pi(3^{2})=9\pi \approx 9(3.14)=\boxed{28.26 \text{ yd}^{2}}[/tex]

To find out how many more cards Daisy designs than Lisa, subtract the number of cards Lisa designs from the number of cards Daisy designs. Daisy designs 18 more cards than Lisa.

To find out how many more cards Daisy designs than Lisa, we need to subtract the number of cards Lisa designs from the number of cards Daisy designs.

Daisy designs 30 cards in a day and Lisa designs 12 cards in a day.

Therefore, Daisy designs 30 - 12 = 18 more cards than Lisa.

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The total area of the figure, calculated by summing the areas of three rectangles, is 81 square yards.

The figure in the image is composed of three rectangles. To find the total area, we calculate the area of each rectangle and then sum them up.

The first rectangle has a length of 13 yards and a width of 5 yards. Using the formula for the area of a rectangle, which is length times width, we get an area of 13 yd * 5 yd = 65 square yards.

The second rectangle extends upwards with a length of 2 yards and a width of 5 yards. Its area is 2 yd * 5 yd = 10 square yards.

The third rectangle extends to the right with dimensions of 2 yd by 3 yd. Its area is 2 yd * 3 yd = 6 square yards.

Adding these areas together, we get a total area of 65 sq yd + 10 sq yd + 6 sq yd = 81 square yards.

The question probable may be:

Find the area of the figure. (sides meet at right angles.)

The area of the piecewise rectangular figure is 59 square yards.

How the area is determined:

The first rectangle:

Length = 13 yards

Width = 5 yards

Area of the first rectangle = 65 square yards (13 x 5)

The second rectangle:

Length =  13 yards

Width = 2 yards

Area of the second rectangle = 6 square yards (3 x 2)

Since the second rectangle reduces the first rectangle, we subtract:

Area of the piecewise rectangle = 59 square yards (65 - 6)

Thus, we can conclude that the area of the piecewise rectangular figure is 59 square yards.

Two negatives terms multiplied together make a positive, so the product of (–0.9)(–2.4) will be equal to 2.16

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE know that Two negatives multiplied together make a positive, so the two negatives would cancel each other out when multiplying. This would basically make the solution.

WE have to find the product of (–0.9)(–2.4)

it’s simply (–0.9) x (–2.4) = 2.16

Now from the first option 3.3 is definitely not less than 2.4, so the answer would be positive 2.16

Hence,  the product of (–0.9)(–2.4) will be equal to 2.16

Learn more about multiplications;

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