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galben [10]
2 years ago
10

Can someone please help me with this thanks

Mathematics
2 answers:
Karo-lina-s [1.5K]2 years ago
8 0
Since this is a right angle, x = 90 so 90 - 18 = 72 the answer is 72
Aneli [31]2 years ago
6 0

Answer:

72

Step-by-step explanation:

that is a right triangle

90-18=72

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1.6 liters = ___ milliliters A.160 B.0.016 C.1,600 D.0.0016
zvonat [6]
1.6 liters is 1600 milliliters. Hope this helps!
7 0
3 years ago
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What is the next term in the sequence
Nesterboy [21]

Answer:

-5/2

Step-by-step explanation:

The next term will be,

→ -2/4

→ (-2-3)/(4÷2)

→ -5/2

Hence, the solution is -5/2.

8 0
2 years ago
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The following graph shows a proportional relationship.
Nina [5.8K]

Answer:

1.5

Step-by-step explanation:

k=\frac{y}{x}\\\\k=\frac{6}{4}\\\\k=1.5

8 0
3 years ago
Prove that $5^{3^n} + 1$ is divisible by $3^{n + 1}$ for all nonnegative integers $n.$
Viktor [21]

When n=0, we have

5^{3^0} + 1 = 5^1 + 1 = 6

3^{0 + 1} = 3^1 = 3

and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)

Suppose this is true for n=k, that

3^{k + 1} \mid 5^{3^k} + 1

Now for n=k+1, we have

5^{3^{k+1}} + 1 = 5^{3^k \times 3} + 1 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k}\right)^3 + 1^3 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k} + 1\right) \left(\left(5^{3^k}\right)^2 - 5^{3^k} + 1\right)

so we know the left side is at least divisible by 3^{k+1} by our assumption.

It remains to show that

3 \mid \left(5^{3^k}\right)^2 - 5^{3^k} + 1

which is easily done with Fermat's little theorem. It says

a^p \equiv a \pmod p

where p is prime and a is any integer. Then for any positive integer x,

5^3 \equiv 5 \pmod 3 \implies (5^3)^x \equiv 5^x \pmod 3

Furthermore,

5^{3^k} \equiv 5^{3\times3^{k-1}} \equiv \left(5^{3^{k-1}}\right)^3 \equiv 5^{3^{k-1}} \pmod 3

which goes all the way down to

5^{3^k} \equiv 5 \pmod 3

So, we find that

\left(5^{3^k}\right)^2 - 5^{3^k} + 1 \equiv 5^2 - 5 + 1 \equiv 21 \equiv 0 \pmod3

QED

5 0
1 year ago
What is the probability that a passenger prefers to sit in front of the plane and prefers a window seat
Ksenya-84 [330]

Answer:

A

Step-by-step explanation:

This is a probability question.

We want to calculate the probability that a passenger prefers to sit in front of the plane and at a window seat.

The answer here is directly obtainable from the table. Let’s take a look at that point where we have the front and window merging. We can see that the figure here is 8

Thus, the probability that we want to calculate is this figure over the total = 8/36

= 2/9

6 0
3 years ago
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