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Shalnov [3]
3 years ago
10

which of the following expressions is written in scientific notation? 0.3 • 104 2 • 10-5 10 • 103 12 • 10-3

Mathematics
1 answer:
netineya [11]3 years ago
8 0

Answer:

option (2) is correct.

2 \cdot 10^{-5} is in the scientific notation form.

Step-by-step explanation:

Given: Some expressions

1) \ 0.3 \cdot 10^4\\\\ 2) \ 2 \cdot 10^{-5}\\\\ 3) \ 10 \cdot 10^3\\\\ 4) \ 12 \cdot 10^{-3}\\\\

We have to choose which expressions is written in scientific notation.

For an expression to be in scientific notation the  most important requirement   is that the whole number is between 1 and 10, but not including 10.

that is  a\cdot 10^{n} , 1 ≤ a < 10 and n is integer.

Thus, out of given only 2 \cdot 10^{-5} is in the scientific notation form.

Thus, option (2) is correct.

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Answer:

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Step-by-step explanation:

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PART A: A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the tr
Greeley [361]

Complete Question:

Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.

(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.  

(b) Determine the scale factor from the first map to the second map.

(c)  A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?  

(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:

Answer:

(a) Length = 4cm

(b) Scale factor = 0.5

(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Step-by-step explanation:

(a) Choose a length between 5 cm and 15 cm

Length =4cm <em>--- This is solely up to you (you can make use of any length between 5 cm and 15 cm)</em>

(b) The scale factor

The scale factor (k) is calculated as:

k = \frac{New\ Length}{Old\ Length}

k = \frac{4cm}{8cm}\\

k = 0.5

(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark

Using:

k = \frac{New\ Length}{Old\ Length}

The old lengths, in this case are: 3cm, 4cm and 5cm

Make New length the subject

New\ Length = k * Old\ Length

When Length = 3cm

New\ Length = 0.5 * 3cm = 1.5cm

When Length = 4cm

New\ Length = 0.5 * 4cm = 2cm

When Length = 5cm

New\ Length = 0.5 * 5cm = 2.5cm

So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

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3 years ago
The width of a rectangle is two cm less than 8 times the length. The perimeter is 88 cm. What is the width and length of the rec
kati45 [8]

Let's the length to be x,

then the width is 8x - 2.

Perimeter of a rectangle = 2*Width + 2*Length

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Ar the same time, Perimeter of the rectangle = 88.

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Answer:

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Step-by-step explanation:

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Help with my homework. Please.
garik1379 [7]

Answer:

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c)10 miles + 20 miles = 30 miles

which takes 50 minutes

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5 0
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