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olga55 [171]
2 years ago
10

directions: Represent each of the following elevations using a rational number question: Cayuga Lake 122 meters above sea level.

Happy holidays!
Mathematics
1 answer:
shusha [124]2 years ago
8 0

Answer:

122

Step-by-step explanation:

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<1 and <2 form a linear pair. If m<1= 4m<2, find the measure of each of the two angles.
ozzi

Answer:

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

5x/5 = 180/5

x = 36°

Therefore,

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
8 0
3 years ago
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bit
posledela

Answer:

Not enough information provided

Step-by-step explanation:

To find the difference between one terabyte and the storage available to the other mediums, we would need to know the storage available to those mediums.  They can all have potentially different amounts of storage space, so we have no way to answer that part of the question.

We can however find out how many bits her computer has.  There are two lines of thought  to follow though.  kilo, mega, giga etc each generally note a multiple of 1000 in common terms.  In computer tech though, the number 1024, or 2¹⁰, is often used instead.

Starting with the layman's powers of 10, a terabyte is a thousand gigabytes, which in turn is a thousand megabytes, which is a thousand kilobytes, which is a thousand bytes.

That means that a terabyte stores 1 × 10¹² bytes.  A byte however is eight bits, giving us 8 × 10¹² bits.

Using the nerdier powers of 2 then, a byte is eight bits, so we'll call that 2³.  We then go up by multiples of 2¹⁰.  With the same logic above, a terabyte is 2¹⁰ gigabytes, which is 2¹⁰ megabytes, which is 2¹⁰ kilobytes, which is 2¹⁰ bytes.  Adding the exponents up, then a terabyte would be 2⁴³ bits

So depending on whether you use the powers of ten or powers of 2 conventions, then a terabyte is either 8 × 10¹² bits, or 2⁴³ bits.

If you want to express the latter as a power of ten for proper scientific notation, then it would be 8.796093022208 × 10¹² - a rather useless way of expressing it, but just to cover all bases.

3 0
3 years ago
A map has a scale of 1 cm to 20km. Rewrite the scale as a ration in its simplest form.
Lesechka [4]

Answer:

1 : 2000000

Step-by-step explanation:

we have to convert 20km into cm so

20km×100000

=2000000

So ratio is 1:2000000

<h2>MARK ME BRAINLIEST PLS!</h2>
6 0
2 years ago
Read 2 more answers
Suppose △DFC≅△SNP . What is the corresponding congruent part for each segment or angle? Drag the answers into the boxes to match
timurjin [86]

<FCD

<SNP

SN

FC

Look at the vertex of each angle and match it to the other triangle (tri. DFC is congruent to tri. SNP) F=N, which is the vertex, D=S, C=P, DF=SN, and so on

7 0
3 years ago
Read 2 more answers
There were 90 runners just start a race in the first half of the race 1/3 of them dropped out in the second half of the race 1/5
Eva8 [605]

Answer:

6 runners finished the race

Step-by-step explanation:

it starts with 90 runners. then 1/3 of them dropped out in the second half of the race, that means you do 90 divided by 3

90 ÷ 3 = 30

Then, 1/5 of the runners remained.

That means you do 30 divided by 5

30÷ 5= 6

so the answer is 6 remaining runners finished the race.

8 0
2 years ago
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