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irina1246 [14]
4 years ago
9

Ten people put 63 boxes on a red truck and 38 boxes on the blue truck. About how many boxes did they load in all?

Mathematics
1 answer:
spayn [35]4 years ago
7 0
 No of boxes in red track
63 × 10=630 boxes
No of boxes in blue track38 × 10 =380
Total no. boxes loaded
 
380 + 630=1010 boxes
Answer = 1010





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A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t
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Answer:

5

Step-by-step explanation:

According to the described rule, we have

a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}

We can see the pattern

a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11

In other words, for all k\ge 2

a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11

Now,

a_{2018}=a_{3\cdot 673-1}=5

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4 years ago
Complete the following.
Otrada [13]

Answer:

Step-by-step explanation:

1) the triangle is a right angle triangle.

From the given right angle triangle,

With 67° as the reference angle,

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To determine x, we would apply

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Tan θ = opposite side/adjacent side.

Therefore,

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xTan 67 = 17

x = 17/Tan 67

x = 17/2.3559

x = 7.22

2) From the given right angle triangle, with 24° as the reference angle,

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12 represents the adjacent side of the right angle triangle.

To determine x, we would apply

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Tan θ = opposite side/adjacent side.

Therefore,

Tan 24 = x/12

x = 12Tan 24

x = 12 × 0.4452

x = 5.34

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4 years ago
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