Answer:
745.4 cm^2
Step-by-step explanation:
The composite figure is made up of a rectangle 25 cm by 20 cm and a semicircle of radius 12.5 cm.
We add the two areas to find the total area.
total area = area of rectangle + area of semicircle
TA = LW + (1/2)(pi)r^2
TA = (25 cm)(20 cm) + (1/2)(3.14159)(12.5 cm)^2
TA = 500 cm^2 + 245.4 cm^2
TA = 745.4 cm^2
Answer:
Positive integer
Step-by-step explanation:
A parabola is the locus of a point which is equidistant from a fixed point and a fixed line. The fixed line is known as the directrix, while the fixed point is known as the focus.
The axis of a parabola passes through the focus and is perpendicular to the directrix. The axis touches the parabola at a point known as the vertex.
The standard form of a parabola that opens up is:
4ay = x²;
where the focus is at (0, a), the equation of the axis is x = 0 and the equation of the directrix is y = -a (parallel to the y axis).
Hence, the leading coefficient of the equation of a parabola that opens up will be a positive integer.
Answer:
A
Step-by-step explanation:
Given
x² + 3x - 4 = 6 ( subtract 6 from both sides )
x² + 3x - 10 = 0 ← in standard form
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)
The factors are + 5 and - 2, since
5 × - 2 = - 10 and 5 - 2 = + 3, thus
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
solution set is { - 5, 2 } → A
Answer:
12
Step-by-step explanation:
Assume that lines which appear to be tangent are tangent.
Therefor this is a right triangle.
Use the pythagorean theorem
c^2 = a^2 + b^2
15^2 = ?^2 + 9^2
225 = ?^2 + 81
subtract 81 from both sides
144 = ?^2
Take the square root of both sides
12 = ?
I think I found one prime number that are not in decimal it's 2 and the answer is 500
