Geometry and Trig
A right triangle has legs with lengths of
24 centimeters and 21 centimeters. If the length of
this triangle’s hypotenuse, in centimeters, can be
written in the form 3√d , where d is an integer, what
is the value of d ?
what is 113?
One leg of a right triangle has length of 43.2. Hypotenuse is 196.8. What is the other leg?
What is 192
(m4q4z-1)(mq5z3) write the expression
what is m5q9z2?
A startup’s customer base grew by 80 % in year 1, shrank by 25 % in year 2, and then grew by 60 % in year 3. After year 3 the company had 28224 customers. How many customers did the startup have at the beginning of year 1?
what is 13072
3z + 2 = w/v
what expresses v in terms of w and z?
what is v=w/(3z+2)
The function f is given by f(x)=ax+b. passes through y intercept of (0,-8) and point (2,7) What is a-b?
what is 13?
The quadratic function g models the depth, in meters, below the surface of the water of a seal t minutes after the seal entered the water during a dive. The function estimates that the seal reached its max depth of 302.4 meters 6 minutes after it entered the water and reached the surface of the water at 12 minutes. what is the depth of the seal 10 minutes after diving?
what is 168?
The function f is defined by f(x)=ax+b, where a and b are constants and a>0. The graph of y=f(x) has a y-intercept at (0,-25) and passes through (2,23). What is a+b?
what is -19?
What is 792x/5?
A rocket’s engines produce a constant acceleration of 4.5 m/s². Convert this rate to miles per minute squared. ( Round to the nearest tenth ) (1 mi = 1609 meters)
what is 10.1?
The perimeter of an equilateral triangle is
624 centimeters. The height of this triangle is
k√3 centimeters, where k is a constant. What is the
value of k?
what is 104?
Which of the following has a factor of x+2b, where b is a positive integer.
a) 3x2+7x+14b
b) 3x2+28x+14b
c) 3x2+41x+14b
d) 3x2+42x+14b
what is c) 3x2+41x+14b?
x2+7x+5=0
One solution to the given equation can be written as
(-7+ √k)/2. what is k?
what is 29?
The population of the town of Smithville doubled
every 75 years from 1659 to 1959. The population of
this town was 240 000 , in 1959. What was the
population of this town in 1659?
what is 15000?
A certain town has an area of 4.36 square miles.
What is the area, in square yards, of this town?
(1 mile = 1,760 yards)
what is 13,505,536?
a square is inscribed in a circle. the radius of the circle is (20√2)/2. what is the side length of the square?
what is 20?
x(kx-56)=-16 what is k when the equation has one solution? k is an positive integer
what is 49
f(x)=x+5
g(x)=2x2-rx+50
If f(x)*g(x)=2x3+250 what is value of r?
what is 10?
A scientist measured the lengths of 240 gray seals
from Muskeget Island and 120 gray seals from Sable
Island. The scientist determined that the mean
length of the 240 gray seals from Muskeget Island
was 88 inches and the mean length of the 120 gray
seals from Sable Island was 94 inches. What was the
mean length of all 360 gray seals the scientist
measured for this study?
What is 90?
Gloria has 483 votes and Tony has 320 votes from a poll. A total of 803 voters were selected for this poll and chose what candidate they would vote for. According to the poll, if 6424 people vote, by how many votes would Gloria win by?
What is 1304.
In triangle ABC, angle B is right, angle C is 30. the AC/hypotenuse is 124. what is tan of a?
what is √3
A researcher investigated two species of mites: a predator and its prey. At the start of a week, there was an equal number of the two species. At the end of the week, the number of prey had increased by 2,700% of the number of prey at the start of the week, and the number of predators had increased by 180% of the number of predators at the start of the week. The number of prey at the end of the week was p% greater than the number of predators at the end of the week. What is the value of p?
what is 900?
Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 58. Surface area of Y is 1450. The volume of Y is 1250. What is the differences of the volumes of Y to X
what is 1240?
A car is traveling at a speed of 72 miles per hour. This speed is equivalent to k feet per second. What is the value of k?
(1 mi=5280 feet) (1 minute=60seconds) (1 hour=60minutes
What is 105.6 feet per second?
x2+14x+y2=6y+109
what is the radius?
what is √167