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3 years ago

Solve the following equation: V= 2(ab+bc+ca), for a

Mathematics

1 answer:

Nadya [2.5K]3 years ago

8 0

V = 2ab + 2ca + 2bc

2ab + 2ca = V - 2bc

2a * b + c = V - 2bc

Answer: a = v - 2bc / 2 * b + c

Hope that helps!!!!! : )

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What is the interquartile range (IQR) of the following data set?

OleMash [197]

Answer:

Step-by-step explanation:

Arrange data set

19, 4, 17, 3, 6, 5,5, 3, 11, 12, 3, 7, 15, 8, 8, 10,5, 3, 12, 41, 36

in ascending order

3, 3, 3, 3, 4, 5, 5, 5, 6, 7, 8, 8, 10, 11, 12, 12, 15, 17, 19, 36, 41

The median is $Q_2=8$

$Q_1=\dfrac{4+5}{2}=4.5$

$Q_3=\dfrac{12+15}{2}=13.5$

Thus, the interquartile range is

$Q_3-Q_1=13.5-4.5=9$

4 0

3 years ago

Find the area of the isosceles triangle.

kogti [31]

Answer:

The hight length : h

The base length : a

Apply the Pythagorean theorem in the right triangle :

h² = 13² - (10/2) = 144

h = √144 = 12 cm

S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²

Step-by-step explanation:

5 0

2 years ago

The numbers of blue, red, green and black pencils are proportional to the numbers 2, 3, 5, and 7, respectively. If we add the nu

Vitek1552 [10]

Answer:

20 green pencils

Step-by-step explanation:

The difference between black and green "ratio units" is 7 -5 = 2. The difference between red and blue ratio units is 3 -2 = 1. The sum of those differences is 2 +1 = 3 ratio units, which represent 12 pencils. Then each ratio unit represents 12/3 = 4 pencils.

The 5 ratio units of green pencils represent 5·4 pencils = 20 green pencils.

_____

If you need an equation, you can use k as the constant of proportionality. Then the sum of differences described is ...

(7k -5k) + (3k -2k) = 12

3k = 12 . . . . simplify

k = 4 . . . . . . divide by 3

5k = 5·4 = 20 . . . . . number of green pencils

6 0

3 years ago

Read 2 more answers

Find the value of x pls help

4vir4ik [10]

Answer:

x = 15°

Step-by-step explanation:

First Identify the angle of x by subtracting 180° - 120° = 60°

Always remember when you see a straight line the line measures 180°

So the angle of x = 60° but not the value of x so use the given equation to find the value of x

3x + 15 = 60°

3x - 15 = -15°

3x = 45

x = 15°

7 0

2 years ago

if a student does not like the mountains what is the probability that the student does also not like the beach

Yakvenalex [24]

40.4% I would say but if you need the whole problem I can give it to you.

8 0

3 years ago