Geometry
A right triangle has legs with lengths 18 and 24. If the hypotenuse can be written as 6√d, what is the value of d?
what is 5?
Which expression is equivalent to 3x(2x - 5) + 4(x² + 6x)?
what is 10x² + 9x
(m4q4z-1)/(mq5z3) write the expression
what is m3/qz4
A certain town has an area of 2.25 square miles. What is the area, in square yards, of this town?
1 mile = 1,760 yards
what is 6969600
What were the first ten amendments to the U.S. Constitution collectively known as?
What is The Bill of Rights?
A circle has a diameter of 14√3. What is the area of the circle?
what is 147pi or 461.8
The function f is given by f(x) = ax + b. The graph passes through the y-intercept (0, -5) and the point (4, 15). What is a + b?
what is 0
The function f is defined by f(x)=a^x+b, where a and b are constants and a>0. The graph of y=f(x) has a y-intercept at (0,-17) and passes through (2,47). What is a+b?
what is -10?
A population of bacteria increases by 40% each hour. If the population was 500 at the start, which expression represents the population after t hours?
what is 500(1.4)t
Which event is widely believed to have sparked World War I?
What is the the assassination of Archduke Franz Ferdinand?
The perimeter of an equilateral triangle is 180 centimeters. The height of the triangle is k√3 centimeters. What is the value of k?
what is 30?
For what positive integer value of k does the equation x(kx - 18) = -81 have exactly one solution?
what is 1
x2+12x+10=0
One solution to the given equation can be written as
(-12 + √k)/2. What is the value of k?
what is 104?
A researcher studied two populations of insects. Population A increased by 120%, and population B increased by 80%. If both populations started with the same number, by what percent is population A greater than population B after the increase?
What was the name of the ancient Egyptian writing system that used symbols and pictures?
What is Hieroglyphics
whA square is inscribed in a circle. The radius of the circle is 10√2. What is the side length of the square?
The expression x² + bx + 36 is equivalent to (x + m)(x + n), where m and n are positive integers. If m - n = 5, what is the value of b?
what is 13
Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 72. The surface area of right rectangular prism Y is 648. The volume of X is 160. What is the difference of the volumes of Y and X?
what is 4160?
Rui has 420 votes and Davielle has 315 votes from a poll. A total of 735 voters were selected for this poll and chose which candidate they would vote for. According to the poll, if 5,880 people vote, by how many votes would Maya win?
What is 840?
Which country features a shipwreck on its national flag?
In right triangle ABC, angle B is 90° and angle C is 60°. If side AC, the hypotenuse, is 72, what is tan A?
what is √3/3?
For what positive value of a does the equation
x² - 12x + a = 0 have solutions that differ by 8?
what is 20?
f(x) = x + 6 g(x) = 4x² - rx + 45
If the coefficient of x² in f(x)g(x) is -2, what is the value of r?
What is 26?
A researcher investigated two species of insects: 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 1,500% of the number of prey at the start of the week, and the number of predators had increased by 300% 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 300?
What is the name of the only country in the world whose national flag is not a quadrilateral (four-sided) shape?
Where is Nepal?