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Mathematics

A right triangle has one angle that measures 23 degrees. The adjacent leg measures 27.6 cm and the hypotenuse measures 30cm. What is the approximate area of the triangle?

in right triangle ABC, m∠C = 90°. if cos B = 5/13, which function also equals 5/13?

The general form of the equation of a circle is \( x^2 + y^2 + 42x + 38y - 47 = 0 \). To express the equation in standard form, we complete the squares for both x and y terms. The center of the circle is at the point (h, k), and its radius is r units. The general form of the equation of a circle with the same radius as the above circle is \( (x-h)^2 + (y-k)^2 = r^2 \), where (h, k) is the center of the new circle. (Note: Since the question does not provide the completed standard form, the center, or the radius, these elements are left as variables in the explanation. To give a complete sentence that includes this information, further computation would be required.)

If f(x)=5x-2 and g(x)=2x+1 , find (f-g)(x)

5,276 to the nearest thousand

What is the graph of the function f(x) = the quantity negative x squared plus x plus 20 over the quantity x plus 4? A) a line that crosses the x axis at negative 5 and the y axis at 5. Discontinuity exists at negative 4, 1. B) a line that crosses the x axis at 5 and the y axis at negative 5. Discontinuity exists at 4, negative 1. C) a line that crosses the x axis at negative 5 and the y axis at negative 5. Discontinuity exists at negative 4, 9. D) a line that crosses the x axis at negative 5 and the y axis at negative 5. Discontinuity exists at 4, negative 9.

Find the radius of a circle with a circumference of 96 feeer

A student is asked to solve the equation below and to justify her/his steps. Identify what, if anything, is incorrect in her/his math or justification. x + 6 = –10

A ship heads due north for x miles, then turns 25° east of north and travels for another y miles. Which expression represents the distance the ship is from the original starting point?

Cost per mile is calculated by dividing total cost by total miles. Using the notation P = cost per mile, C = total cost, and M = total miles, show this relationship in algebraic equation form.

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