What’s the ratio decimal of
2:3
3:7
3:6
3:8
2:5
3:7
2:4

The perimeter of the right triangle WXY is 60 units.

To find the perimeter of a right triangle WXY, we need to know the lengths of the two legs. Given that the radius of the circle is 4 units and WY is 20 units, we can determine that the hypotenuse, XY, is equal to 20 units. So the perimeter of the triangle is the sum of the lengths of its three sides: 20 + 20 + 20 = 60 units.

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We calculate the perimeter of the right triangle by first finding the lengths of the legs using the Pythagorean theorem and the given radius, then summing these lengths with the hypotenuse.

The subject of this question is Geometry, specifically involving the calculation of the perimeter of a right triangle. In a right triangle, the lengths of the three sides follow the Pythagorean theorem, written as [tex]a^2 + b^2 = c^2[/tex], where c is the hypotenuse and a and b are the lengths of the other two sides.

Here, the length of the hypotenuse WY is given as 20 units. In a right-angled triangle, where a circle is inscribed, the radius of the circle is equal to half the sum of the two legs of the triangle (radius = (a+b)/2). In this case, the radius is given as 4 units. Thus, the total of the two legs a and b is 8 units.

The Pythagorean theorem can now be used to solve for a and b, knowing that [tex]a^2 + b^2 = 20^2[/tex] and a + b = 8; then to find the perimeter, sum the hypotenuse and the lengths of the legs, i.e. Perimeter = a + b + c.

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Final answer:

To determine the total area of the mural, we calculate the area of one student's square, which is 100 square inches, and multiply by the total number of squares in the mural, resulting in 2500 square inches for the total area.

Explanation:

Mrs. Deaton's 6th grade class is working on a mural where each student contributes a square with a side length of 10 inches. The mural will be arranged in a larger square with five student squares along each side. To determine the total area of the mural, we will calculate the area of one student's square and then multiply by the total number of squares.

First, the area of one student's square is found by squaring the side length:

Area of one square = side length × side length = 10 inches × 10 inches = 100 square inches.

Since the mural is a square consisting of 5 student squares on each side:

Total number of student squares = 5 × 5 = 25 squares.

Finally, to find the total area of the mural, we multiply the area of one square by the total number of squares:

Total area of mural = area of one square × total number of squares = 100 square inches × 25 = 2500 square inches.

The total area of the mural is 2500 square inches.

Zöe's error is in mixing units of seconds and minutes in her measurements. Her total time of 12 minutes should be converted into seconds (720 seconds) to match the 30 and 60 second ad times. The correct equations for her problem are x + 2y = 720 and y = 2x.

The given question relates to system of linear equations and misunderstandings in time measurements. The discrepancy in Zöe's equations relates to the units she used for the ad times and the total time. She was dealing with 30 second and 60 second ads (measuring them in seconds), but she attempted to balance this against a total time of 12 minutes (measured in minutes).

The correct approach would be to ensure that all the times are using the same units. Since there are 60 seconds in a minute, Zöe's total time should be expressed as 720 seconds. Additionally, she sold twice as many 60 second ads as 30 second ads. Therefore, her equations should be: x + 2y = 720 and y = 2x.

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The question relates to formulating equations based on given constraints. Zöe's error is in not taking into account that the sum of the times for the 30 and 60-second ads should be 12 minutes. Moreover, the relation between the quantities of the 30 and 60-second ads should be such that the latter is double the former.

The question presents a situation where Zöe has to schedule ads for a radio station with a fixed time frame. The constraints are that she has 12 minutes every hour to fill with either 30 second ads or 60 second ads, and that she sold twice as many 60 second ads as she did 30 second ads. Here, x represents the number of 30 second ads and y represents the number of 60 second ads.

Given these criteria, Zöe should set up two equations. The first equation will express the total time consumed by ads: (0.5x + y) minutes = 12 minutes. The second equation represents the relationship of the number of ads: y = 2x.

The error in the way the problem is stated seems to revolve around Zöe's representation of the constraints. She should consider the fact that the total time occupied by the 30 and 60-second ads must equal 12 minutes. Furthermore, the relationship between the number of 30 and 60-second ads should be factored into the equations, with the 60-second ads being twice the number of 30-second ads.

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The volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Length: 9 in, Width: 3 in and Height: 10 in

We know that, the volume of a cuboid is Length×Width×Height

Here, the volume of a box = 9×3×10

= 270 cubic inches

It is scaled down by a factor of 1/10

Now, 1/10 ×270

= 27 cubic inches

Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.

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"Your question is incomplete, probably the complete question/missing part is:"

What is the volume of the box if it is scaled down by a factor of 1/10? Length: 9 in, Width: 3 in and Height: 10 in

Answer:

4to5 and 3to7

Step-by-step explanation:

:)hope this helped

Answer:

The area of triangle DEF is 9 square units.

Step-by-step explanation:

It is given that triangle ABC and DEF are similar and the ratio of the side lengths in triangle ABC to triangle DEF is 1:3.

Let the length of their sides be x and x respectively.

If two triangles are similar then the ratio of their areas is equal to the square of the ratio of their sides.

Since triangle ABC and DEF are similar, therefore

[tex]\frac{Area(ABC)}{Area(DE F)}=\frac{(x)^2}{(3x)^2}[/tex]

[tex]\frac{1}{Area(DE F)}=\frac{(x)^2}{9(x)^2}[/tex]

Cancel out the common factors.

[tex]\frac{1}{Area(DE F)}=\frac{1}{9}[/tex]

On cross multiplication, we get

[tex]1\times 9=1\times Area(DE F)}[/tex]

[tex]9=Area(DE F)}[/tex]

Therefore the area of triangle DEF is 9 square units.

Part A: The average rate of change of section A is 12 and that of B is 300.

Part B: The average rate of change of Section B is 25 times greater than that of Section A due to the exponential nature of the function h(x).

Explaining the average rate of change for two sections and comparing their values in an exponential function context,

One rate of change is greater than the other because of the exponential growth nature of the function. The function h(x) = 3 [tex](5)^x[/tex] is an exponential function, and the rate of change increases rapidly as x increases, leading to a much greater average rate of change for Section B than Section A.

The question is:

Given the function h(x) = 3 [tex](5)^x[/tex], Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section.

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.

The probability of not drawing an E is 5/8. Expressed as a decimal, it is 0.625, and as a percentage, it is 62.5%.

To determine the probability that the letter E is not selected by Mary, we first look at the total number of E's in the mix and the total number of letters. There are three E's and a total of eight letters. To calculate the probability of not drawing an E, we need to find the number of outcomes that are not E, which is 8 total letters minus 3 E's, leaving us with 5 non-E letters.

The probability of not drawing an E can be calculated as the number of non-E letters over the total number of letters: P(not E) = 5/8. To express this as a decimal, we divide 5 by 8 to get 0.625. To express it as a percentage, we simply multiply the decimal by 100, resulting in 62.5%.

Therefore, the probability that E will NOT be the letter Mary selects is 5/8 as a fraction, 0.625 as a decimal, and 62.5% as a percentage.

Answer:

Prove that KL is equal to c by Pythagorean Theorem.

Step-by-step explanation:

In the two triangles triangle KLM is a right triangle with sides a and b as the two legs of the right triangle .We can apply Pythagorean Theorem to find KL.

In triangle KGF two sides are a and b .If we prove KL=EF then Pythagorean Theorem will be true for triangle KGF and hence we can prove triangle KGF to be a right triangle.

The correct option to prove triangle KGF to be a right triangle is to Prove that KL is equal to c by Pythagorean Theorem.

Let us suppose we have a triangle ABC as shown in the attached image.

Now, let us we draw a  perpendicular line from the vertex A to the base BC. Let the line meets the base BC at D.

Then, this perpendicular line AD will separate the triangle  ABC into two right angle triangle ADB and triangle ADC.

Answer:

Its 3.6

Step-by-step explanation:

You turn {5, 12, 1, 6, 11} into {2, 5, 6, 1, 4} add them into 18 then divide by 5 into 3.6

B the second one. It shows all the steps correctly