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To determine what type of polygon has an interior angle of 135 degrees, we can use the formula for finding the measure of an interior angle of a regular polygon. The formula is: Interior Angle = (n – 2) * 180° / n Here, n represents the number of sides in the polygon. We can … Read more

To find the solution to the equation x3 = 27, we need to isolate x. Here’s how we can do it step by step: First, we want to eliminate the cube on x. To do this, we can take the cube root of both sides of the equation: x = √[3]{27} Now we calculate the … Read more

To convert an angle from radians to degrees, you can use the conversion factor that relates the two units. Specifically, 1 radian is equal to 180/π degrees. Thus, to perform the conversion, you multiply the number of radians by this conversion factor. Here’s the formula you can use: Degrees = Radians × (180/π) For example, … Read more

To solve the quadratic equation 3×2 + 42x + 3 = 0, we can either use the quadratic formula or factorization. In this case, it may be easier to apply the quadratic formula, which is: x = (-b ± √(b² – 4ac)) / (2a) For the equation given: a = 3 b = 42 c … Read more

The tangent function, denoted as tan(x), is classified as an odd function. This classification is based on its mathematical properties and the symmetry of its graph. To understand this, we can consider the definition of an odd function. A function f(x) is called odd if it satisfies the condition: f(-x) = -f(x) For the tangent … Read more

To find the value of 5 raised to the power of 10, we perform the calculation as follows: 510 means we multiply 5 by itself 10 times. Breaking it down: 5 x 5 = 25 25 x 5 = 125 125 x 5 = 625 625 x 5 = 3125 3125 x 5 = 15625 … Read more

The value of 6 to the power of 10 can be calculated by multiplying 6 by itself a total of 10 times. This is what we refer to in mathematics as exponentiation. To break it down: 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 … Read more

The sequence given is: 0, 3, 8, 15, 24, 35. To determine the next number, we first need to analyze the pattern in the increments of the numbers. Let’s look at the differences between consecutive terms: 3 – 0 = 3 8 – 3 = 5 15 – 8 = 7 24 – 15 = … Read more

To find the integral of the function sin(x) * x, we will use a method called integration by parts. This technique is particularly useful when dealing with the product of two functions, as is the case here. The formula for integration by parts is: ∫u dv = uv – ∫v du For our integral, we … Read more

To determine how many gallons of gas you will need to drive 700 miles with a car that gets 35 miles per gallon, you can use a simple calculation. First, you need to divide the total distance you plan to travel by the fuel efficiency of your car. In this case, you will divide 700 … Read more