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3 years ago

Aflati numarul necunoscut:3894+a-3883=4500

Mathematics

1 answer:

natima [27]3 years ago

6 0

A=4489 hope thus helps you

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A company plans to manufacture a rectangular bin with a square base, an open top, and a volume of 13,500 in3. Determine the dime

Artyom0805 [142]

Answer:

Dimensions 30 in x 30 in x 15 in

Surface Area = 2,700 in²

Step-by-step explanation:

Let 'r' be the length of the side of the square base, and 'h' be the height of the bin. The volume is given by:

$V=13,500=h*r^2\\h=\frac{13,500}{r^2}$

The total surface area is given by:

$A=4*hr+r^2$

Rewriting the surface area function as a function of 'r':

$A=4*\frac{13,500}{r^2} *r+r^2\\A=\frac{54,000}{r}+r^2$

The value of 'r' for which the derivate of the surface area function is zero, is the length for which the area is minimized:

$A=54,000*r^{-1}+r^2\\\frac{dA}{dr}=0= -54,000*r^{-2}+2r\\\frac{54,000}{r^2}=2r\\ r=\sqrt[3]{27,000}\\r=30\ in$

The value of 'h' is:

$h=\frac{13,500}{30^2}\\ h=15\ in$

The dimensions that will ensure the minimum surface area are 30 in x 30 in x 15 in.

The surface area is:

$A=4*15*30+30^2\\A=2,700\ in^2$

3 0

3 years ago

If the height of a right triangle is 24 inches and the the area of the triangle is 120 square inches, what is the length of the

Rus_ich [418]

(120×2)/24 = 10inches

3 0

3 years ago

The sum of 5 consecutive integers is 505

kramer

Using algebra:n+(n+1)+(n+2)+(n+3)+(n+4)=5055n+10=5055n=505-105n=495n=495/5n=99n+1=100n+2=101 answer

5 0

3 years ago

There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the

vfiekz [6]

Answer:

Probability that the result is a multiple of 4 or a multiple of 3= 0.428

Step-by-step explanation:

The spinner is divided into 14 equal areas.

Probability of an event= $\frac{number of favourable outcomes}{total number of outcomes}$

For favourable events,result should be a multiple of 3 or 4.

All the possible outcomes are=1,2,3,4,5,6,7,8,9,10,11,12,13,14

Multiples of 3=3,6,9,12

Multiples of 4=4,8,12

Hence the favourable outcomes are=3,4,6,8,9,12

Number of favourable outcomes=6

Total number of outcomes=14

Probability= $\frac{6}{14}$

=0.428

5 0

2 years ago

Question 6 Find the outliers for the following data set: -21.-3.-5.0.2,-1, 66, 14. 6. 70

Naddik [55]

I’d say 66 and 70 are the outliers

7 0

3 years ago

Read 2 more answers