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A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.
* 23.1 cm* 20.0 cm* 56.6 cm* 28.3 cm
a gate in an irrigation canal is constructed in the form of a trapezoid 3 ft wide at the bottom, 5 ft wide at the top, and 2 ft high. it is placed vertically in the canal so water just covers the gate. find the hydrostatic force on one side of the..
Find the percentage of customers spent less than $20
A dance team knows 17 routines of which 9 are tap, 5 are ballet, and 3 are modern. The program can consist of any five routines. In how many ways can the manager choose which routines to present if there are no restrictions?
Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
Use the root test to show that a geometric series converges only if its ration has absolute value less than 1, or its initial term is 0
Suppose a diver leaps from the edge of an 80foot cliff. His initial upwards velocity is 8 feet per second. When will he hit the water?
Find a coordinate rule for a reflection across the line y = 2x. Then use the rule to find the image of triangle ABC
How fast is the radian measure of the angle between the ladder and the ground changing at the moment when the bottom of the ladder is 12 feet away from the wall?
Prestige Builders has a development of new homes. There are four different floor plans, seven exterior colors, and an option of either a two-car or a three-car garage. How many choices are there for one home?
What is a mathematical model? Explain in your own words. What are some examples of mathematical models that we can use when working with quadratic functions? (Minimum 300 words).
Please show in detail how to solve the following area problem. Let R be the region bounded by the graphs of f(x) = 4 - x^2/4 +8x
Let f(x) = x^3, and compute the Riemann sum of f over the interval [6, 7], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)
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