Algebra I
The length of a rectangle is 5 more than twice the width. the perimeter is 130cm. what is the area
900 cm
A quadrilateral has 3 angles measuring 90 degrees, 100 degrees, and 70 degrees. What is the measure of the 4th angle?
100 degrees
25
Tan is
Opposite/Adjacent
Who invented Calculus?
Isaac Newton or/and Gottfried Wilhelm Leibniz
Factor:
x2+9x+20
(x+5)(x+4)
What is the sum of the measures of the interior angles of a hexagon?
720
FOIL (3x - 5) (3x - 4)
9x2 - 27x + 20
sin(π/2)
1
Pythagorean Theorem was invented by
Pythagoras
The sum of two numbers is 73. when the smaller is subtracted from twice the greater number, the result is 50. Find the numbers
32, 41
The circumference of a circle is 30π. What is its area?
225π
What is the slope of a line passing through the points (3, -2) and (4, 5)?
7
tan(x) = 1/(√ 3)
What is x in radians?
π/6
Who found the equation for the area of a Circle?
Archimedes
Solve for p:
3p - 1 = 5(p - 1) - 2(7 - 2p)
p = 3
What is the equation of the line that goes through these two points in standard form? (-5, 2) and (5, 20)
9x + 5y = 55
Simplify (x2 - x - 6)/(3x2 - 8x -3)
(x+2)/(3x+1)
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
25.4 m
Known as the father of Geometry
Euclid
simplify: 4h2k - 4hk2 + 2k2 + 7hk2 - 3h2k - 3hk2
2hk + 4k
In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?
3
Simplify (2x2 + 5x - 3)/(6x2 + 18x)
(2x-1)/(6x)
A surveyor wants to know the height of a skyscraper. He places his inclinometer on a tripod 1m1m from the ground. At a distance of 50m from the skyscraper, he records an angle of elevation of 82 degrees.
What is the height of the skyscraper?
356.8m
Who was said to have died telling a Roman soldier, "Do not disturb my circles"?
Archimedes