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3 years ago

Please help me solve

Mathematics

2 answers:

KIM [24]3 years ago

6 0

Answer:

(B) 18

Step-by-step explanation:

The angle x is 45 degrees. Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.

90 - 45 = 45

Since AB is 3, DC is 3. Since the right triangle DC is 45-90-45, the other side, CE, will also be 3. Since CE is half of the side of the rectangle, multiply it by 2 to get 6. The sides of the rectangle are 3 and 6. Use the formula for area of a rectangle to solve.

A = lw

A = (6)(3)

A = 18

The answer is B.

arsen [322]3 years ago

4 0

Answer:

18 square centimeters

Step-by-step explanation:

Notice that if e is the midpoint of the side CB, and angle $\angle x = 45^o$ , then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 $cm^2$

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Read 2 more answers

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

jonny [76]

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

$y = -x^2 + 72x -458$

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

$y = ax^2 + bx + c$

The vertex ( turning point ) or maximum/minimum point is given as:

$x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36$

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

$y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838$