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kogti [31]
3 years ago
13

Justin built a display stand out of two rectangular prisms. The smaller rectangular prism is 2 inches tall, 4 inches wide, and 6

inches long. The larger rectangular prism is 5 inches tall, 8 inches wide, and 10 inches long. He painted the entire outside of each prism before he put the prisms together. What was the total surface area, in square inches, that Justin painted on both rectangular prisms? (
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0

Answer:

428 square inches

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a prism: 2wl +2lh+2hw

Where w is the width of the prism; l the length; and h the height.

Replacing with the values given:

S (smaller prism) = 2 (4x6) + 2(6x2)+ 2(2x4)=48+24+16= 88 in2

S (larger prism) = 2 (8x10) +2 (10 x5)+2(5x8)= 160+100+80=340in2

Adding both surface areas:

88+340 =428 in2

Feel free to ask for more if needed or if you did not understand something.  

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Raul has been offered three different jobs and must choose which one to accept. One of the factors he is considering is the pay
chubhunter [2.5K]

Answer:

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

Step-by-step explanation:

Given that Raul would work 50 weeks of the year,

40 hours each week,

5 days each week,

and he would receive a 1-hour lunch break each day.

Pay rate for Job A = $35,000 / year

  • For Job B:

Pay rate = $15 / hour

He will work 40 hours each week.

As he works 5 days a week, so in 1 day he will work 40/5 = 8 hours.

He would receive a 1-hour break each day, for which he will not be paid, so he will receive a payment for 8-1=7 hours.

So, payment for 1 day = $15 x 7 = $105

As he works 5 days a week, so payment for 1 week = $105 x 5 = $525

As he works 50 weeks a year, so payment for 1 year = $525 x 50 = $26250.

So, the pay rate by Job B = $26250 /year

  • For Job C:

Pay rate = $750 / week

As he works 50 weeks a year, so payment for 1 year = $750 x 50 = $37500.

So, the pay rate by Job C = $37500 /year

As the pay rate for Job C is the highest, so he must accept the offer from Job C.

8 0
2 years ago
Mike is playing cards with his sister when he draws a card from a pack of 35 cards numbered from 1 to 35 what is the probability
Ganezh [65]
1/5 because there are 7 numbers divisible by 5 from 1 to 35. 5,10, 15, 20,25,30,35, and out of those there are 35 cards, 7 out of 35 or 7/5 can be simplified to 1/5.
4 0
3 years ago
Read 2 more answers
NO ASSESSMENTS/NO LINKS!!
alexdok [17]

9514 1404 393

Answer:

  g(x) = x -1

Step-by-step explanation:

Translation of a function by (right, up) = (h, k) is accomplished by ...

  g(x) = f(x -h) +k

Here the translation is 4 units left, so h=-4 and k=0. This means ...

  g(x) = f(x +4) = (x+4) -5

  g(x) = x -1

3 0
3 years ago
A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,
Alex73 [517]

Answer:

A) A(t)  =  4500*π  -  1600*t

B) A(4)  =  7730 in³

C) t  =  8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max  =  30   r max  =  15 in

V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³

V(s) = 4500*π

A)  Amount of air needed to fill the ball A(t)

A(t)  = Total max. volume of the sphere - rate of flux of air * time

A(t)  =  4500*π  -  1600*t    in³

B) After 4 minutes

A(4)  =  4500*π  - 6400

A(4)  =  14130 - 6400

A(4)  =  7730 in³

C)  A(t)  =  4500*π  -  1600*t  

when  A(t) = 0   the ball got its maximum volume then:

4500*π -  1600*t  =  0

t  =   14130/1600

t  =  8,8 sec

8 0
2 years ago
Subtract five from three times a number and the result is equal to the number plus five. find the number.
allsm [11]
3(x)-5=x+5
3x=-5+5+x
3x=x
0=x
because 3x=x is basically would make each part into 0 which would end up the same. 
6 0
3 years ago
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