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s2008m [1.1K]
4 years ago
10

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]4 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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(4,1) is a possible solution. Hope this helps. :)
5 0
4 years ago
What is7(3x+5y)??????
romanna [79]

Answer:

21x + 35y

Step-by-step explanation:

you need to use the distributive property

7 times 3x = 21x

7 times 5y = 35y

4 0
3 years ago
The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,
ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

AC^2 =AB^2 +BC^2  \\  =  {12}^{2} +  {5}^{2}   \\  = 144 + 25 \\  = 169 \\  AC =  \sqrt{169}  \\  \therefore \: AC =  13\: m \\  \\ AC \: is \: the \: diameter \: of \: semicircle \\  \therefore \: r =  \frac{1}{2} \times  AC = \frac{1}{2} \times 13 = 6.5 \: m \\  Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2

8 0
4 years ago
two triangles are similar. The base of the first triangle is 10 cm and the height is 15 cm. The base of the second triangle is 1
Andrei [34K]

Answer:

the height is 18cm

Explanation:

If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Are these ratios equal?

given that

Triangle 1 (first triangle)

base = 10cm

height = 15cm

Triangle 2 (second triangle)

base = 12cm

height = unknown

base 1 / base 2 = height 1 / height 2

10cm / 12cm = 15cm / xcm

xcm = 18cm

height = 18cm

8 0
4 years ago
What is the slope of the line shown below?
Gre4nikov [31]
Answer: C. 5/6


Steps:

Use the formula x1-x2/y1-y2 to find the slope

(5,11), (-5,-1)

-5-5/-1-11
= -10/-12
=5/6
4 0
3 years ago
Read 2 more answers
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