Work out values a,b,c,d

Mathematics

1 answer:

Dovator [93]3 years ago

8 0

Since u have a blank black screen the answer has to be A

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Triangles A and B have vertical heights x cm and (x+3) cm respectively. The areas of Triangles A and B are 30cm² and 32cm² respe

PolarNik [594]

Answer:

Hi,

Step-by-step explanation:

Let say a the base of the triangle A and b the base of the triangle B.

$a)\\\left\{\begin{array}{ccc}\dfrac{a*x}{2}&=&30\\\dfrac{b*(x+3)}{2}&=&32\\b=a-4\\\end{arraqy}\right.\\\\(i): a=\dfrac{60}{x}\\\\(ii): b=\dfrac{64}{x+3}\\\\b)\\\dfrac{64}{x+3}=\dfrac{60}{x}-4\\\\64x=(60-4x)*(x+3)\\\\4x^2+16x-180=0\\\\x^2+4x-45=0\\\\\Delta=16+4*45=196=14^2\\x=\dfrac{-4+14}{2}=5\ or\ x=\dfrac{-4-14}{2}=-9\ (impossible)\\So\ x=5,\ a=\dfrac{60}{5}=12, b=\dfrac{64}{5+3}=8\\\\Area\ of\ A=12*5/2=30\\Area\ of\ B=8*8/2=32\\\\Height\ of\ triangle\ B=x+3=5+3=8.\\$

3 0

2 years ago

Jakob is tiling a newly finished room.He estimates that he tiles about 9 square ft every 3/4 hour. About how many sq ft can he t

Ganezh [65]

Okay this is how I would figure this out:
I would take 9 divided by 3 and get 3, so he can tile abut 3 square ft. in 15 minutes.
Then, I would multiply 3 by 4 because there are 4 15 in an hour. I would get 12.
So it takes Jakob 1 hour to tile 12 square feet.

Your answer is: He can tile about 12 square feet per hour.

Hope this helped :)

4 0

4 years ago

A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle at the same time, and walk

Oduvanchick [21]

Answer:

They are moving at a speed of 2/3 meters per second.

Step-by-step explanation:

The field is shown in the attached figure below

As we can see that ant any instant of time Area of the triangle is given by

$A=\frac{1}{2}x\times x\\\\A=\frac{1}{2}x^2$