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77julia77 [94]
3 years ago
10

The estimated measurements of the objects are shown below.

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0

The scientific notation is a method that scientists use to easily handle very large numbers or very small numbers. As an example, instead of writing down the value 0.0000000065, we write the value 6.5 x 10-9 in scientific notation. The number of places the decimal point got moved becomes the exponent of the number 10. When the movement is from left to right, the exponent is negative (for very small numbers). When it is right to left, the exponent is positive (for very large numbers).

 

Therefore writing estimated measurements in scientific notation:

 

length of a grain of salt : 0.0002 centimeters = 2 x 10-4 centimeters

width of a key ring : 0.02 centimeters = 2 x 10-2 centimeters

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the length of a rectangular poster is 2 times its width. if the perimeter is 24 inches, what is the area of the poster?
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Free_Kalibri [48]
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Find the value of x. give reasons to justify your answer NEED HELP ASAP!!!!
Firlakuza [10]

Answer:

x = 34^\circ

Step-by-step explanation:

Note that ∠TSU and ∠PSR are vertical angles. Hence:

m\angle TSU = m\angle PSR

∠PSR is the sum of ∠PSQ and ∠QSR. Hence:

\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR

We know that ∠TSU measures 4<em>x</em> and ∠QSR measures 3<em>x</em>. Thus:

(4x) = m\angle PSQ + (3x)

Solve for ∠PSQ:

m\angle PSQ = x

Next, ∠PQS and ∠RQS form a linear pair. Thus:

m\angle PQS + m\angle RQS = 180^\circ

∠RQS measures 68°. Thus:

m\angle PQS +(68^\circ) = 180^\circ

Solve for ∠PQS:

m\angle PQS = 112^\circ

The interior angles of a triangle must total 180°. So, for ΔPQS:

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Substitute in the known values:

(x) + (112^\circ) + (x) = 180^\circ

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4 0
3 years ago
Write a real world problem for: 80-3x=53
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Answer:

Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?

Step-by-step explanation:

In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.

6 0
4 years ago
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