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Ray Of Light [21]
3 years ago
11

Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the am

ount Danny’s class donated in terms of the amount donated by Ron’s class?
Mathematics
1 answer:
Savatey [412]3 years ago
6 0
DX1.21 because 1.21 means 21 percent more than d

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The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is
notsponge [240]
Since the three angles of a triangle add to give 180°

The the size of the largest angle 4 = 180° × \frac{4}{2+3+4}
                                                       =  180° × \frac{4}{9}

∴ the size of the largest angle = 80°
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Write these numbers in order of size, start with the<br> smallest number<br><br> 60% 1/2 0.3 3/4 0.4
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(Smallest to biggest) 0.3, 0.4, 1/2, 60%, 3/4
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3 years ago
A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box=L\times B\times H

Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

V(x)=120x-30x^2-16x^2+4x^3

V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

5 0
2 years ago
PLEASE HELP!!! I NEED TO SUBMIT BY 12 AM AND I AM STUCK!
Veronika [31]
Hope this helps! I can’t help with the graphing...

4 0
3 years ago
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