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Vilka [71]
3 years ago
13

(4.8 x 105 km) x (2.0 x 103 km)

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

103,824 km^2

Step-by-step explanation:

1. Multiply what's in the parentheses first.

(4.8×105 km)=504 km

(2.0×103 km)=206 km

2. Multiply the two products together.

504 km×206 km=103,824 km^2

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Answer:

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: a_n=a_1+(n-1)d, where,

a_n=\text{nth term of the sequence},

a_1=\text{1st term of the sequence},

n=\text{Number of terms of the sequence},

d=\text{Common difference}.

Since on the first day Jessie scored 2 runs, so a_1=2 and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

a_n=2+(n-1)*2

a_n=2+2n-2

a_n=2n

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is a_n=2n.

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

a_8=2*8

a_8=16

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

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Step-by-step explanation:

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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
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nalin [4]

Answer:

24.15

Step-by-step explanation:

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