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zmey [24]
3 years ago
12

What is the sum of the fractions? Use the number line to help find the answer.

Mathematics
2 answers:
klasskru [66]3 years ago
6 0

Answer:

-4/5

Step-by-step explanation:

Serhud [2]3 years ago
5 0

Answer:

-12/15

Step-by-step explanation:

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What is the mean of the following set of data? Round your answer to two decimal places.
irinina [24]
Hope this helps but I think the answer is 5.14
6 0
3 years ago
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Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over
Virty [35]

The area of the triangle which is formed as described is; 60.

<h3>What is the area of the triangle formed?</h3>

According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).

It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.

Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.

Read more on area of a triangle;

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8 0
2 years ago
In international morse code, each letter in the alphabet is symbolized by a series of dots and dashes: the letter a, for example
Ostrovityanka [42]
Morse code is essentially the same as binary. That is, there are two "digits", a dot or a dash.

There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means 2^3=8 letters at most.

We have to select the smallest power of 2 that exceeds or is equal to 26. In this case, 2^5=32>26, so we would have to use up to 5 symbols to encode each letter in the alphabet.
5 0
3 years ago
(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per
daser333 [38]

The question is incomplete. Below is the complete question:

A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion 11

mm and the overall height is 18 mm.

(a) Find the volume of the pill in cubic millimeters. Round to the nearest cubic

millimeter.

(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per

cubic millimeter? Round to the nearest tenth of a cubic millimeter.

Answer:

a. 603 cubic millimetre

b. 1.7 mg/mm^3

Step-by-step explanation:

The since the pill has the shape of a cylinder and 2 hemispheres at both ends of the cylinder, if we are to calculate the volume, we will need the formula for calculating the volume of a cylinder and the volume of a hemisphere:

a. The volume of a cylinder = π×r^2×h and the volume of a hemisphere = 2×π×r^3.

The total height of the pill is 18mm but that of the cylinder specifically is 11cm, so 18 - 11 = 7mm.

This becomes the combined radius of the two hemispheres. We will now split it into 2:

7/2 = 3.5mm

This becomes the radius of each of the 2 hemispheres and will be used for calculating their respective volumes. The cylinder too will share same radius with the spheres (3.5mm). Let us take π as 3.14

Volume of the pill is then:

V =[2× (2/3 × π×r^3)] + π×r^2×h

V = [2×[(2/3) × 3.14 × 3.5^3]] + 3.14 × (3.5^2) × 11

[2 × (89.752)] + 423.115

179.504 + 423.115

= 602.619

= 603mm^3 (nearest cubic millimetre)

b. In order to find out how much vitamin C the pill will contain per cubic millimetre if it is to contain 1000mg of vitamin C, we will simply divide 1,000mg by the already calculated volume:

= 1000/63

= 1.658

= 1.7 mg/mm^3 (nearest tenth)

4 0
3 years ago
What is the value of x?<br> 40°<br> (6x + 2)
Anvisha [2.4K]

Answer:

x = 8

Step-by-step explanation:

40 + 6x + 2 = 90   {Complementary angles}

Combine like terms

40+ 2 + 6x = 90

     42 +6x = 90         {Subtract 42 form both sides}

             6x = 90 - 42

             6x = 48       {divide both sides by 6}

        6x/6 = 48/6

             x = 8

6 0
4 years ago
Read 2 more answers
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