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Vlad1618 [11]
3 years ago
7

What is the smallest 3-digit number that has 2, 3, and 7 among its prime factors?

Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer: 126


Step-by-step explanation: You would just find the LCM (2, 3, 7) and get 42. But since you need a 3-digit number, list the multiples of 42, like so: 42, 84, 126, 168, 210...

As you can see, 126<em> </em>is the smallest 3-digit number that has 2, 3, and 7 among its prime factors.


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In the figure shown the value of a is equal to
Vikentia [17]

Answer:

a = 7.2

Step-by-step explanation:

The figure has been re-labelled and attached to this response.

From the figure, the larger right triangle DAB and the small right triangle BCA are similar. This is because;

i. They have two corresponding congruent angles which are<em> the right angle</em>

and <em>angle B</em>

Therefore, we can say that;

\frac{|DB|}{|BA|} = \frac{|AB|}{|BC|}

\frac{13}{a} = \frac{a}{4}

<em>Cross multiply</em>

a x a = 13 x 4

a² = 52

a = √52

a = 7.2

Note: The figure showing the similar triangles has also been attached to this response.

6 0
3 years ago
Wish is 7(x-4) in simplest form?
butalik [34]
I'm pretty sure the attachment down there can answer ur question! :D

3 0
3 years ago
Read 2 more answers
Write the two consecutive integers between which the given rational lies
meriva

Answer:

a) -1, 0

b) -5, -4

c) 2, 3

d) -8, -7

Step-by-step explanation:

4 0
3 years ago
nora draws a figure on a piece of paper as shown what is the area of her figure round to the nearest hundredth?
9966 [12]

Answer:

maybe 100000

Step-by-step explanation:

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4 0
4 years ago
You are trying to heat up a cup of water with a butane lighter.
algol13

Answer:

Step-by-step explanation:

Remark

The formula for this is

Heat = m * c * Δt

Givens

Heat = unknown

m = 200 grams

c = 4.184 Joules / grams oC

Δt = the change in temperature = 35.7 - 22.3 = 13.4

Solution

Heat = 200 * 4.184 * 13.4

Heat = 11213 Joules

Heat = 11.2 Kj

It's hard to get the correct number of sig digs because the 200 is not qualified in any way.

Part 2.

This can really puzzle you until you know that heat given up = the heat taken on. The heat taken on was 11.2 Kj. The Butane lighter must have given that heat on.

Heat of Combustion = Heat Given Up / Number grams burned.

Heat of Combustion = 11.2 Kj / 0.23 grams

Heat of Combustion = 48.8 Kj / gram

8 0
3 years ago
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