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Elena-2011 [213]
3 years ago
9

Write the number 3.8 in the form a/b using integers , to show that it is a rational number

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
7 0

Answer:

38/10

Step-by-step explanation:

38/10

It can be also 19/5 or 76/20

Neporo4naja [7]3 years ago
3 0

Answer:

38/10

Step-by-step explanation:

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Question 4 of 10
ludmilkaskok [199]

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

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3 years ago
Bismuth-214 has a half-life (50%) of approximately 20 minutes. Find the amount of Bismuth-214 left
ivolga24 [154]
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What factors of 20 are also factors of 50
spayn [35]
The easiest way to find the factors of a pair of numbers, is simply to write out the factors until you find the ones that they have in common. So in this case, these factors would be listed as follows:
20: 1,2,4,5,10,20
50: 1,2,5,10,25,50.
From looking at these numbers, we can therefore see that the common factors are: 1,2,5,10
7 0
3 years ago
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Put the "<" sign as the apples are less
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In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does
Tresset [83]
This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"

The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)

This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!

In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
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