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Flura [38]
2 years ago
9

Pls help!! 15 points!

Mathematics
2 answers:
Vesna [10]2 years ago
6 0

When trapezoidal prism undergoes a dilation, the size of the prism changes

The height of the image is 52.2 meters

<h3>How to determine the height of the image?</h3>

The given parameters are:

A1 = 35 m²

A2 = 315 m²

H1 = 5.8 m

To calculate the height of the image, we make use of the following equivalent ratio

A1 : H1 = A2 : H2

So, we have:

35 : 5.8 = 315 : H

Express as fractions

35/5.8 = 315/H

Make H the subject

H = 315 * 5.8/35

Evaluate the product

H = 52.2

Hence, the height of the image is 52.2 meters

Read more about dilation at:

brainly.com/question/3457976

Ksju [112]2 years ago
4 0

Answer:

17.4

Step-by-step explanation:

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You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co
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The perimeter of the rectangular plot of land is given by the expression below

P=2x+2y

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\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}

Furthermore, the area of the enclosed land is given by

A=xy

Solving the second equation for x,

\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}

Substituting into the equation for the area,

\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}

To find the maximum possible area, solve A'(y)=0, as shown below

\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}

Therefore, the corresponding value of x is

\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0
1 year ago
Ftmdnydngdngd fbfdjj
levacccp [35]

Answer:

The above triangle is an isosceles triangle....

Reason

As we can see AB and DE are parallel to each other

As angle ABC is 80 degree

Therefore BCE is too 80 degree (as they both are alternate to each others)

Hence angle DCB is a 50 degree because in the straight DCE we have angle BCE as <u>80 </u><u>degree</u><u> </u>and Angle ACD as <u>50 degree</u>

Since a straight line has <u>180 degree</u> therefore the remaining angle ACB is 50 degree(180-80-50)

Now in triangle BAC. Angle C is 50 degree and Angle B is 80 degree, since the total angle of a triangle is 180 degree therefore A is 50 degree that is angle BAC is 50 degree(180-50-80) .

Hence here we see that two opposite sides have same angle that is the reason its a ISOSCELES triangle

Answer BY AN INDIAN

THANK YOU

7 0
3 years ago
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