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madreJ [45]
3 years ago
12

I need help on this ASAP pls 20 points

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

Answer:

1070cm2

Step-by-step explanation:

the cereal box represents a cuboid and it is closed hence a closed cuboid.

SA- Surface area

L- Length = 15

W- Width =4

H- Height =25

In a closed cuboid, there are going to be 6 faces( 3 pairs).

To find SA, we have to take the area of all faces and sum them up.

You can do this by carrying out the area of all faces and summing them up or you can use the formula:

SA of a closed cuboid=2(L x W) + 2(W x H)  + 2(L x H)

= 2(15 x 4) + 2(4 x 25) + 2(15 x 25)

= 2(60) + 2(100) + 2(375)

=120 + 200 + 750

=<u>1070cm2</u>

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A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s
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Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

C = 16.2*10,000*10 = 1,620,000\ m^3

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

V=52*(5*0.5*765)\\V=99,450\ m^3

The expected life of the landfill is given by its capacity divided by the yearly volume:

L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years

The landfill has an expected life of 16.3 years.

6 0
3 years ago
Manuela solved the equation below.<br><br><br><br> What is the solution to Manuela’s equation?
BabaBlast [244]

For this case we have the following equation:

2 (x + 2) = x-4

Applying distributive property to the terms within the parentheses on the left side of the equation we have:

2x + 4 = x-4

Subtracting "x" on both sides of the equation we have:

2x-x + 4 = -4\\x + 4 = -4

Subtracting 4 on both sides of the equation we have:

x = -4-4\\x = -8

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6 0
4 years ago
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A 50 kg sack of sugar was repacked into 0.5 kg per bag and sold at 17.50 per bag.
earnstyle [38]
1,750 is the total cost of it.
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Can the sum of two mixed numbers be equal to 2? ​
Sholpan [36]
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The figure shows three right triangles. Triangles JKM, KLM, and JLK are similar. Theorem: If two triangles are similar, the corr
pentagon [3]

Answer:

(Segment JL)(Segment ML)=10(6.4)=64 units

Step-by-step explanation:

In the given information, triangle JKL with right angle at K. Segment JK is 6 and segment KL is 8. Point M is on segment JL and angles KMJ and KML are right angles.

we have to choose the correct option.

In order to choose we have to find the segment ML

Let ML=x therefore JM=10-m

In triangle JMK, by Pythagoras theorem

JK^{2}=JM^{2}+MK^{2}\\  36=(10-m)^2+KM^2\\KM^2=36-(10-m)^2

In triangle KML

KL^{2}=KM^{2}+ML^{2}\\  64=m^2+KM^2\\KM^2=64-m^2

From above two equations we get

36-(10-m)^2=64-m^2

⇒ 64-m^2=36-(10-m)^2

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(Segment JL)(Segment ML)=10(6.4)=64 units

Hence, last option is correct


3 0
4 years ago
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