Suppose a 6-ft person wishes to determine the height of a bridge above the bottom of a canyon, as shown in the figure below. To do this, this person stands at one end of the bridge (point A) and looks down to a point directly below the other end (point B). With the help of a companion, point P is determined to form two triangles. Find the distance to the bottom of the canyon, if ft and

src="https://sciemce.com/media/3/ppg__cognero__7.4_Similar_Triangles__media__7eca80cb-8127-4e00-b31e-161c7e376f1e.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_d2b47a8f0436403b87fbec914" /> ft.
?

?
__________ ft

Fill in the blank(s) with the appropriate word(s).

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48

Mathematics

Solve the problem.The concentration of alcohol in a person's blood is measurable. Suppose that the risk R (given as a percent) of having an accident while driving a car can be modeled by the equation R = 5ekxwhere x is the variable concentration of alcohol in the blood and k is a constant.Suppose that a concentration of alcohol in the blood of 0.07 results in a 10% risk  of an accident. Find the constant k in the equation.Using this value of k, what is the risk if the concentration is 0.11?

What will be an ideal response?

Find the volume specified. Use 3.14 as the approximate value of ?, and round your answer to the nearest tenth.Find the volume of a tent having the shape of a rectangular solid of length 11 ft, width 14 ft, and height 5 ft topped by a rectangular pyramid of the same width and length with height 4 ft.

A. 975.3 ft3 B. 1540.0 ft3 C. 205.3 ft3 D. 410.6 ft3

Multiply and simplify. ?  

A.
B.
C.
D. y

Determine whether the relation represents a function. If it is a function, state the domain and range.{(9.22, 10.92), (9.222, -10.9), (, 0), (0.43, -9)}

A. function
domain: {10.92, -10.9, 0, -9}
range: {9.22, 9.222, , 0.43}
B. function
domain: {9.22, 9.222, , 0.43}
range: {10.92, -10.9, 0, -9}
C. not a function