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deff fn [24]
4 years ago
12

Niko bikes the same route after school every day. He starts by biking 15 blocks west. Then he goes 12 blocks north. Then he comp

letes the path by kicking 15 blocks east and 12 blocks south. What is the area of Niko's bike path?
Mathematics
1 answer:
romanna [79]4 years ago
3 0

Answer:

180

Step-by-step explanation:

draw it out it is a rectangle with length=15 and width = 12.

Area of a rectangle = LxW

                               =15x12

                               =180

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How to solve a log equation with variable in the exponent?
GREYUIT [131]
Example...

4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)
6 0
4 years ago
suppose that n is a positive integer written in base 10. prove that n is divisible by 3 if and only if the sum of its decimal di
Goshia [24]

Modulo - The result of multiplying the original number by three and the result of multiplying the digits by three must be the same.

What is modulo?

In mathematics, the phrase modulo, which literally means "with respect to a modulus of," is frequently used to claim that two different mathematical objects can be regarded as comparable if their difference is explained by a third component.

Using the Fermat's little theorem:

x^n-1 =(x-1)(x^{n-1}+x^{n-2}+....+x+1)

when x=10. You may easily establish the identity by multiplying it term by word. All terms cancel, excluding the first and last ones. Therefore, any power of ten minus one is divisible by nine, and consequently, by three

Now consider a multi-digit natural number, 43617 for example.

43617= 4*10^4+3*10^3+6*10^2+1*10+7

= 4*9999+3*999+6*99+1*9+(4+3+6+1+7)

Other than the sum of the digits, every term on the right is divisible by 3. The result of multiplying the original number by three and the result of multiplying the digits by three must be the same.

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5 0
2 years ago
I got two more pls answer
polet [3.4K]

Answer:

33.) = 4

34.) = 2

35.) = 6

36.) = 6

37.) = 91

38.) = 35

39.) = 4

40.) = 28

41.) = 18

42.) = (-6)

Step-by-step explanation:

<h3>33.)</h3>

(10 + 6) ÷ [(9 – 5) × (5 – 4)²]

(16) ÷ (4) × (1)²

16/4 = 4

Thus, The answer is 4

<h3>34.)</h3>

(3² × 2) ÷ (5 + 8 – 5 + 1)

(9 × 2) ÷ (9)

18/9 = 2

Thus, The answer is 2

<h3>35.)</h3>

6² ÷ {2 + 5 – [9 – (6 + 2)]}

6² ÷ [2 + 5 – (9 – 8)]

36 ÷ [2 + 5 – (1)]

36 ÷ 7 – 1

36/6 = 6

Thus, The answer is 6

<h3>36.)</h3>

(3 × 3 × 2) ÷ (4 – 1)

18/3 = 6

Thus, The answer is 6

<h3>37.)</h3>

4 × 3 × 10 – 4² – (10 + 3)

120 – 16 – 13

120 – 29 = 91

Thus, The answer is 91

<h3>38.)</h3>

5 × [(22 – 1) × 2] ÷ (8 + 2 – 4)

5 × [(21) × 2] ÷ (6)

5 × 42 ÷ 6

5 × 7 = 35

Thus, The answer is 35

<h3>39.)</h3>

-2 × 4 ÷ [2 + (-4) – (-4)] – 4

-8 ÷ (2 – 4 + 4) – 4

-8 ÷ 2 – 4

-8/-2 = 8/2 = 4

Thus, The answer is 4

<h3>40.)</h3>

-4(-1 + 2) × 4 – 2 + (-1)

-4 × (1) × 4 – 2 – 1

(-4) × (-7) = 28

Thus, The answer is 28

<h3>41.)</h3>

-3 – (-3 × 3) + 6 × 2

-3 – (-9) + 12

-3 + 9 + 12

6 + 12 = 18

Thus, The answer is 18

<h3>42.)</h3>

6 – {3² + [3 × (-1)²]}

6 – [9 + (3 × 1)]

6 – (9 + 3)

6 – 12 = -6

Thus, The answer is (-6)

<u>-TheUnknownScientist 72</u>

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Need help with problem show answer with work
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Answer:

[4x - 3][x + 5]

Step-by-step explanation:

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I am joyous to assist you anytime.

8 0
4 years ago
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