1. Find the lengths of the diagonals of rectangle QRST , Given that QS = 6X+3 and RT = 8X-1

Mathematics

2 answers:

Bezzdna [24]3 years ago

8 0

For the lengths, Qs and RT= 15

Greeley [361]3 years ago

5 0

Answer:

1. QS and RT= 15

2. Im not positive but I think it's TQ=18

Step-by-step explanation:

For question 1, you would do 6x+3=8x-1 and solve to get the result of x=2

Then you'd plug in 6 and get QS and RT=15

For the second one I am unsure because I wasn't positive how to solve but it seems like the side RQ might be 1/2 of TQ. Sorry if thats wrong I can try and help more if you need

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Murrr4er [49]

Answer:

Step-by-step explanation:

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5 0

2 years ago

This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.

Ugo [173]

As we can see on the picture we have a rectangle and half of circle.

The areas for half circle and rectangle are:

$A_{rectangle}=a\cdot b \\A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}$

The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.

Now we calculate the areas.

$A_{rectangle}=10\cdot 6=\underline{60} \\A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}$