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3 years ago

You work as a lab assistant. Each morning you are responsible for grouping the correct number of test tubes for

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

<h2>Option D is correct.</h2>

Step-by-step explanation:

In total 40 test tubes are required for 12 experiments.

The first two experiments will require 4 test tubes for each.

Hence, there will be a requirement of $4\times2$ = 8 test tubes.

Six experiments require 3 test tubes each.

Hence, these 6 experiments will take $6\times 3=$ 18 test tubes.

Other 2 experiments will take 2 test tubes.

Here, $2\times2$ = 4 test tubes will be required.

Till now a total of (8 + 18 + 4) = 30 test tubes have been used.

The remaining number of test tubes is (40 - 30) = 10.

The remaining experiments require $\frac{10}{2} = 5$ test tubes.

The first calculation to perform is 2(4) + 6(3) - 2(2).

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Answer:

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3 years ago

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Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using this formula, we get

$AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5$

$BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}$

$AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5$

Now,

Perimeter of triangle ABC = AB + BC + AC

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So, perimeter of triangle ABC is $10+\sqrt{10}$ units.

Therefore, the correct option is B.

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