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3 years ago

How many times larger is 4 x 10 12 than 8 x 10 7?

Mathematics

1 answer:

USPshnik [31]3 years ago

5 0

Answer:

50000 times

Step-by-step explanation:

Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.

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A 250 ml bottle of water treatment liquid will treat up to 625 litres of water. Given that 1 cubic meter=1000 litres, how much t

kupik [55]

You will need:
(2240/625)*250=896 ml of treatment liquid.
If each bottle contains 250 ml you'll need 3.6 bottles (3 bottles and a bit more than half a bottle).

I do not think you need the conversion 1 cubic meter=1000 litres unless the volume of the tank is in cubic meters BUT 2240 cubic meters seems too large!

5 0

3 years ago

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si

Vladimir79 [104]

Given

Sofia cuts a piece in the shape of a kite for an art project

top two sides measure 20 cm each

bottom two sides measure 13 cm each.

One diagonal, EG, measures 24 cm

Find out the length of the other diagonal, DF.

To proof

As given in the question and also shown in the diagram shown below

DE = EF = 20cm

DG = GF = 13cm

EG = 24cm

DF = ?

In kite shape

One diagonal is the perpendicular bisector of the other diagonal.

i.e EG is the perpendicular bisector of DF

i.e EG is divided into two equal parts

thus EA = AG = 12cm

in Δ EAF

By applying the pythagorus theorem

we have

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

$\sqrt{256} =FA$

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

$\sqrt{25} =DA$

5cm = DA

Thus diagonal DF = DA + FA

= 5 + 16

= 21cm

Hence proved

8 0

2 years ago

Read 2 more answers

Help please, w-5-4= -8-6w+8w?

balandron [24]

Answer:

w = -1

Step-by-step explanation:

w-5-4= -8-6w+8w ⇒ simplify
w - 9 = - 8 + 2w ⇒ add 9 - 2w to both sides
w - 2w = - 8 + 9 ⇒ simplify
-w = 1 ⇒ multiply both sides by -1
w = -1 ⇒ answer

4 0

2 years ago

Read 2 more answers

A triangle has two sides of lengths 4 and 15.What value could the length of the third side be? Check all that apply.. A:12 B:13

galina1969 [7]

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

A: 4, 12, 15

4 + 12 = 16 > 15 CORRECT :)

B: 4, 13, 15

4 + 13 = 17 > 15 CORRECT :)

C: 4, 4, 15

4 + 4 = 8 < 15 INCORRECT :(

D: 4, 15, 15

4 + 15 = 19 > 15 CORRECT :)

E: 4, 11, 15

4 + 11 = 15 INCORRECT :(

F: 4, 15, 19

4 + 15 = 19 INCORRECT :(

<h3>Answer: A: 12, B: 13, D; 15</h3>

3 0

3 years ago

Please help with the picture attached

vladimir2022 [97]

The answer is 3a•(3a+5)

4 0

3 years ago