Geometry
rectangles ABCD and EFGH are similar.
the length of each side of EFGH is 6 times the length of corresponding ABCD.
the area of ABCD is 54 square units. what is the area of EFGH?
1944 units^2
project on evaporation. student measures height of a liquid in a container over time.
function for this: f(x)=33-0.18x gives height, in centimeters, x days after the beginning
what does x mean?
y-intercept -- the starting altitude of the water
the expression 2x^2 + ax is equivalent to x(2x+7) for some constant a. what is a?
7
the International Space Station orbits Earth at a constant speed of 4.76 miles per second. what is this, in miles per hour? round to the nearest 100.
17100
triangles ABC and DEF are congruent; A to D, B to E, and C to F
B and E are right angles; measure of angle A is 18º
find the measure of angle F
72º
y=2x-6
solution is (a,b)
find a
9
(m^4q^4z^-1)(mq^5z^3)
where m, q, and z are positive.
m^5q^9z^2
an athlete completed a race with an average speed of 20.300 mph. what is this in yards per hour?
(use 1 mile = 1,760 yards)
35728
a right triangle has leg length 40 and hypotenuse length 41. the angle at point A expands into the unknown side. what is the value of cos(a)?
41/42
(7/8)y - (5/8)x = 4/7 - (7/8)y
(5/4)x + 7/4 = py + 15/4
there is no solution
find p
7/2
f(x) = 5470(0.64)^(x/12)
function f gives value of something after x months.
if the value of the thing decreases each year by p% of its value the preceding year, what is the value of p?
36
data set A --> 75 objects, mean height of 25 meters
data set B --> 50 objects, mean height of 65 meters
data set C = data set B + data set A
find mean height of data set C
41
the length of each edge of a box is 29 inches.
each side of the box is a square
the box does not have a lid
what is the exterior surface area?
4205
a helicopter delivers only 100 pound packages and 120 pound packages. for each trip, the helicopter must carry at least 10 packages but not exceed the weight of 1100 pounds of packages. what is the maximum number of 120-pound packages per trip?
5
a rectangle has a length that is 15 times its width
write an equation that determines the area of the rectangle
what is the best interpretation of 15w in this context?
y = (15w)(w)
the length of the rectangle
the population of Iceland, in people per km^2, increased from 2.5 in 1990 to 3.3 in 2014
during this time period, the land area of Iceland was 100250 km^2
what was the total population growth in Iceland per year?
round to 2 decimal points
3341.67
xyz is a triangle
z is a right angle
the length of yz is 24
if tan(x) = 12/35 find perimeter of the triangle
168
ax + by = 72
6x + 2by = 56
a and b are constants
the lines intersect at (4,y)
find a
14
h(x) = 2(x-4)^2-32
the graph intersects the x-axis at the points (0,0) and (t,0) where t is a constant
what is the value of 2t?
the positive number a is 2241% of the sum of positive numbers b and c
b is 83% of c
what percent of b is a
4941