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Licemer1 [7]
3 years ago
5

Provide 2 examples/2 sets of factors.

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0
15 has 1,3,5,15
24 has 1,2,3,4,6,8,12, 24
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Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and fou
saw5 [17]

Answer:

height = 14.5 ft

width = length = 3.2 ft

Step-by-step explanation:

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

h = \frac{144-5a^{2}}{2a}     .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = \frac{144-5\times 3.2\times 3.2}{2\times 3.2}

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

6 0
3 years ago
PLEASE HELP WITH THIS MATH SUM
Firdavs [7]

Answer:

27 questions correct

Step-by-step explanation:

Well 108 marks and 4 marks for each correct,techinally you can’t subtract since 108 is the final score, and the thing was already subtracted so \divide.

108/4= 27

27 correct answers

3 0
2 years ago
Read 2 more answers
The probability that an archer hits the target when it is windy is 0.4; when it is not windy, her probability of hitting the tar
stiks02 [169]

Answer:

x = 6

Step-by-step explanation:

The probability that this archer hits her first shot is given by t the probability of being windy and that she hits the shot added to the probability of not being windy and that she hits the shot:

P(H_{first}) = P(H_w)*P(W)+P(H_{nw})*(1-P(W))\\P(H_{first})=0.4*0.3+0.7*(1-0.3)\\P(H_{first})=0.12+0.49 = 0.61

If the probability that she hits the target on her first shot is 0.x1, the value of x is:

P(H_{first})=0.61=0.x1\\x=6

5 0
3 years ago
Bianca filled 2 same-sized jars with flavored popcorn as a gift. She wants to glue a piece of ribbon around the edge of each lid
dybincka [34]
I think it is 177.4728 

but im not sure let me check


7 0
3 years ago
Read 2 more answers
Correct the mistake
ankoles [38]
(12+8)\ 5 + 15=19... this solution works because 12+8=20.. 20/5=4 and then 4+15=19
3 0
3 years ago
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