Find the first,fourth,and tenth terms of the arithmetic sequence described by the given rule. A(n) = 12+(n-1)(3)

The triangle with side lengths of 14 cm, 48 cm, and 50 cm is a right triangle.

The lengths of the sides of the triangle are 14 cm, 48 cm, and 50 cm. To classify the triangle, we need to determine if it is acute, obtuse, or right.

Using the Pythagorean theorem, we can check if it satisfies the condition for a right triangle. If the square of the length of the longest side (50 cm) is equal to the sum of the squares of the other two sides (14 cm and 48 cm), then it is a right triangle.

In this case, (50)^2 = (14)^2 + (48)^2, which is true. Therefore, the triangle is a right triangle.

Final answer:

A triangle with side lengths of 14 cm, 48 cm, and 50 cm is classified as an acute triangle.

Explanation:

A triangle with side lengths of 14 cm, 48 cm, and 50 cm can be classified as an acute triangle.

To determine this, we need to check if the square of the longest side (50 cm) is less than the sum of the squares of the other two sides (14 cm and 48 cm).

502 < 142 + 482

2500 < 196 + 2304

2500 < 2500

This inequality is not true, so the triangle is not obtuse or right. Thus, it is classified as an acute triangle.

Answer:

B) $4

Step-by-step explanation:

The length of the pantry is 3 feet.

To find the length of the pantry, we need to determine its area first. According to the question, the kitchen is 9 times the size of the pantry. With the kitchen's area being 81 square feet, the pantry's area would be 81 square feet divided by 9, which equals 9 square feet. Since we are given that the width of the pantry is 3 feet, we divide the total area of the pantry by its width to find the length.

The calculation is as follows:

Area of kitchen: 81 sq ft

Area of pantry: 81 sq ft / 9 = 9 sq ft

Width of pantry: 3 ft

Length of pantry: Area of pantry / Width of pantry = 9 sq ft / 3 ft = 3 feet long.

Answer : The number of text messages that will result in the exact same charge from both companies is, 500

Step-by-step explanation :

Let the number of text messages be, 'x'

Cell phone company A charges $20 per month plus $0.05 per text message. Thus, the equation will be:

[tex]20+0.05x=0[/tex]     ............(1)

Cell phone company B charges $10 per month plus $0.07 per text message. Thus, the equation will be:

[tex]10+0.07x=0[/tex]        ............(2)

Now equating equation 1 and 2, we get:

[tex]20+0.05x=10+0.07x[/tex]

[tex]20-10=0.07x-0.05x[/tex]

[tex]10=0.02x[/tex]

[tex]x=\frac{10}{0.02}[/tex]

[tex]x=500[/tex]

Thus, the number of text messages that will result in the exact same charge from both companies is, 500

Answer:

41.57 unit²

Step-by-step explanation:

We know,

Area of a regular hexagon = [tex]3\times (sidelength)\times (apothem)[/tex].

The length of the apothem = [tex]2\sqrt{3}[/tex] units.

Since, we know, 'a regular hexagon splits into 6 identical equilateral triangles'.

As, the apothem of the regular hexagon = height of the equilateral triangle

So, height of the equilateral triangle = [tex]2\sqrt{3}[/tex] units.

As, in the equilateral triangle, 'One of the side length is the S, other will be [tex]\frac{S}{2}[/tex] and height is [tex]2\sqrt{3}[/tex] units'.

So, using Pythagoras Theorem, we have,

[tex]hypotenuse^{2}=perpendicular^{2}+base^{2}[/tex]

i.e. [tex]S^{2}=(\frac{S}{2})^{2}+(2\sqrt{3})^{2}[/tex]

i.e. [tex]S^{2}=\frac{S^2}{4}+12[/tex]

i.e. [tex]S^{2}-\frac{S^2}{4}=12[/tex]

i.e. [tex]\frac{3S^2}{4}=12[/tex]

i.e. [tex3S^2=48[/tex]

i.e. [texS^2=16[/tex]

i.e. S= 4 units

That is, the side length of the hexagon = 4 units.

Thus, the area of the hexagon is given by,

Area of a regular hexagon = [tex]3\times (4)\times (2sqrt{3})[/tex]

i.e. Area of a regular hexagon = [tex]12\times (2sqrt{3})[/tex]

i.e. Area of a regular hexagon = [tex]24sqrt{3}[/tex]

i.e. Area of a regular hexagon = 41.57 unit²

Hence, the area of the regular hexagon is 41.57 unit².

To find 2x, we first need to solve for x in the equation 3x - 1 = 11. We isolate x by adding 1 to both sides and divide by 3 to obtain x = 4. Finally, multiplying x by 2 gives us 2x = 8.

To solve the equation 3x - 1 = 11 for 2x, we need to isolate x first. Adding 1 to both sides, we get 3x = 12. Dividing both sides by 3, we find that x = 4. Now, to find 2x, we simply multiply x by 2, which gives us 2(4) = 8.

https://brainly.com/question/14410653

#SPJ2

I had the same thing. Please mark as Brainiest Answer.

Answer:

Both posters ARE accurate representations of the painting

Step-by-step explanation:

Gradpoint

The zeros of the function y = 9x³ - 9x are x = 0, x = 1, and x = -1. There are no multiple zeros for this function.

The question seeks to identify the zeros of the function y = 9x^3 - 9x. To find the zeros, we set the function equal to zero and solve for x.

The zeros of the function are x = 0, x = 1, and x = -1.

Therefore, as per the above explaination, the correct answer is  x = 0, x = 1, and x = -1.

The converse statement  interchange the hypothesis and the conclusion.

The converse of x=9 then [tex]x^{2} =81.[/tex]  is [tex]x^{2} = 81 then x=9.[/tex] is true.

A biconditional statement is defined to be true whenever both parts have the same truth value . combining  the statements as a biconditional we have

If [tex]x^{2}[/tex]. = 81, then x = 9.  

x = 9 if and only if [tex]x^{2} .[/tex] = 81

Option D is the right answer.

Answer: a

Step-by-step explanation: that person coulda said that

Answer:

17 trips will it take him to move 51 boxes

Step-by-step explanation:

Given: Anton can carry 3 boxes per trip.

That's mean for 1 trip he carry 3 boxes .

To carry 51 boxes he make , [tex]\frac{51}{3}=17[/tex] trip

Therefore, 17 trips will it take him to move 51 boxes.

Answer:

A number and three is at most 3.

Step-by-step explanation:

To find the missing number in the proportion 7 / 35 = ? / 28, we can use the concept of cross-multiplication. The missing number is 5.6.

To find the missing number in the proportion 7 / 35 = ? / 28, we can use the concept of cross-multiplication. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction, and then setting the two products equal to each other. In this case, we have 7 * 28 = ? * 35. Solving for the missing number, we get:

So, the missing number is 5.6.

To find the area of the region defined by the function y = 6 sin(x) + sin(6x) from x = 0 to x = pi, we need to calculate the definite integral of the function over this interval. Using a graphing utility, we can plot the function and verify the result.

To find the area of the region defined by the function y = 6 sin(x) + sin(6x) from x = 0 to x = pi, we need to calculate the definite integral of the function over this interval.

Using a graphing utility, we can plot the function and verify the result. The integral will give us the area under the curve.

A graphing utility like Desmos or Wolfram Alpha can be used to plot the function and find the area under the curve.

The function h(x) has the greatest y-intercept of 8, as it crosses the y-axis at the highest point.

The function that has the greatest y-intercept is the one that crosses the y-axis at the highest value. The y-intercept is the point where the graph of a function intersects the y-axis, which is when x = 0. So, to find the function with the greatest y-intercept, we need to evaluate the y-value when x = 0 for each function.

Let's consider the functions f(x), g(x), and h(x). If f(x) has an equation of y = 3x + 5, g(x) has an equation of y = x - 2, and h(x) has an equation of y = -2x + 8, we can plug in x = 0 and see which function gives us the greatest y-value.

For f(x), when x = 0, y = 3(0) + 5 = 5. For g(x), when x = 0, y = 0 - 2 = -2. And for h(x), when x = 0, y = -2(0) + 8 = 8. Thus, h(x) has the greatest y-intercept because it crosses the y-axis at the highest point, which is 8.

https://brainly.com/question/29113022

#SPJ12

Answer:

1 gal

Step-by-step explanation:

To show that the point (7/25, 24/25) is on the unit circle, we need to demonstrate that its distance from the origin is equal to 1.

To show that the point (7/25, 24/25) is on the unit circle, we need to demonstrate that its distance from the origin is equal to 1.

The distance between two points, (x1, y1) and (x2, y2), is given by the formula: √((x2-x1)² + (y2-y1)²).

In this case, the distance between the point (7/25, 24/25) and the origin (0, 0) can be calculated as: √((7/25-0)² + (24/25-0)²) = √((49/625) + (576/625)) = √(625/625) = 1.

Since the distance between the given point and the origin is indeed equal to 1, we can conclude that the point is on the unit circle.

The  larger down payment beneficial to a home investor is because of option C.

The following information should be considered:

Learn more: https://brainly.com/question/537797?referrer=searchResults

Answer:

Step-by-step explanation:

The given sequence is:

1,6,11,16,...

Since, the sequence is Arithmetic progression, therefore

The general term for the sequence is:

[tex]A_{n}=a+(n-1)d[/tex]

where a is the first term of the sequence and d is common difference.

Substituting the given values, we get

[tex]A_{n}=1+(n-1)5[/tex]

[tex]A_{n}=1+5n-5[/tex]

[tex]A_{n}=5n-4[/tex]

which is the required general term.

Thus, option B is correct.