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2 years ago

HELP ASAP

Mathematics

2 answers:

galben [10]2 years ago

3 0

I don’t have a very detailed explanation, however the answer should be “A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left”.

You can clearly see a 90° angle here, it’s obvious. Also, the polygon switch counterclockwise. so, you can see.

hope I helped ^^

WARRIOR [948]2 years ago

3 0

The person above is correct

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Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0

3 years ago

15) The diameter of a cylinder is 12 and height is 11. Find the surface area of the figure.

kirza4 [7]

Answer:

A=640.88

Step-by-step explanation:

if the diameter is 12, the radius , r=12/2=6

we have r=6, h=11

Surface area, A= 2πrh+2π r^2

A=2*3.14*6*11+2*3.14*(6)^2=640.88

7 0

3 years ago

Please help me quiz

velikii [3]

Answer would be the bottom answer

5 0

2 years ago

4. Because the triangles are congruent, the area of the entire

nordsb [41]

Answer:5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the volume of the prism?

ozzi

Answer:

Step-by-step explanation:

When you find the volume of prisms, you're essentially taking the area of the base and multiply it by the length, in varied orientations.

In this case, I'd start by finding the area of the parallelogram facing us.

The formula for a parallelogram's area is the same as a rectangle's:

A = b x h

In this case, h = 3 cm and b = 8 cm.

A = 24 cm²

Now, you multiple the area by the length of the parallelogram, which is 8 cm.

V = 24 cm² x 8 cm

= 192 cm³

I hope this helps!

3 0

3 years ago