John had 2 1/4 meter of felt and used only 3/12 of that for a costume. how many meters of felt did he use?

0.5625 m

Step-by-step explanation:

2.25/12 *3=0.5625

John  used 0.5625 m or 56.25 cm of felt ( more than half metre less than one metre)

Step-by-step explanation:

3/12 of 2  1/4 m

= 3/12 of  9/4

= 3/12* 9/4

= 27/48

= 0.56 25m *100= 56.25 cm

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204