Solve the problem.On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 35 m long and the tree is 28 m tall, how long is the shadow?

A. 49 m
B. 21 m
C. 45 m
D. 63 m


Answer: B

Mathematics

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Find the indicated control limits.For a production process for which there is a great deal of data since its last modification, the population mean ? and the population standard deviation ? are assumed known. For such a process we have the following values for an   chart:central line = ?, UCL = ? + A?, LCL = ? - A?(The value A is found in the table of control chart factors). In a bottling factory, after bottling, the volume of juice in seven sample bottles is checked every 30 minutes. For this process,  and 

src="https://sciemce.com/media/4/ppg__text0425190836__f1q44g3.jpg" alt="" style="vertical-align: -4.0px;" /> Find the central line, UCL, and LCL for the mean. A. 16.0, 16.019, 15.981 B. 16.0, 16.049, 15.951 C. 16.0, 16.045, 15.955 D. 16.0, 16.017, 15.983

Mathematics

Find the zero of the linear function.h(x) = -2x + 3

A. - 
B.
C. -1
D. 1

Mathematics

Solve the problem.Paul Nagel invested some money at 4.5% simple interest and $7000 more than that amount at 2.5% simple interest. After 1 year, his total interest from the two accounts was $455. How much did he invest at each rate?

A. $5000 at 4.5%; $11,000 at 2.5% B. $5000 at 4.5%; $10,000 at 2.5% C. $4000 at 4.5%; $11,000 at 2.5% D. $4000 at 4.5%; $12,000 at 2.5%

Mathematics

Provide an appropriate response.Give an equation that, along with the equation y = 3x + 6, forms an inconsistent system.

What will be an ideal response?

Mathematics