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Kazeer [188]
3 years ago
10

Find the missing side lengths. Leave your answer as radicals in simplest form.

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Answer:

Hence x = y = 2

Step-by-step explanation:

Using the SOH CAH TOA identity

Hypotenuse = 2√2

Opposite = x

theta = 45

Sin theta = opp/hyp

Sin 45 =x/2√2

1/√2 = x/2√2

x = 2√2 * 1/√2

x = 2

To get y we will use the pythagoras theorem;

(2√2)² = x² +y²

(2√2)² = 2²+y²

8 = 4 + y²

y² = 8-4

y² = 4

y = √4

y = 2

Hence x = y = 2

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Write an Equation using the following arithmetic sequence: 5, _____, ______, 32
Shalnov [3]

Answer:

The sequence is:

5, 14, 23, 32

Step-by-step explanation:

We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:

aₙ = a₁ + (n-1)d

Given the arithmetic sequence

5, _____, ______, 32

here:

a₁ = 5

n = 4

aₙ

so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term

aₙ = a₁ + (n-1)d

32 = 5 + (4-1)d

32 = 5 + 3d

3d = 32-5

3d = 27

divide both sides by 3

3d/3 = 27/3

d = 9

Therefore, the common difference: d = 9

Determining the 2nd term:

Using the formula

aₙ = a₁ + (n-1)d

substitute n = 2, a₁ = 5, d = 9

a₂ = 5 + (2-1)9

a₂ = 5 + 1(9)

a₂ = 5 + 9

a₂ = 14

Determining the 3rd term:

Using the formula

aₙ = a₁ + (n-1)d

substitute n = 3, a₁ = 5, d = 9

a₃ = 5 + (3-1)9

a₃ = 5 + 2(9)

a₃ = 5 + 18

a₃ = 23

Thus, the sequence becomes:

5, 14, 23, 32

4 0
3 years ago
Please help with this math question thank you!
Talja [164]
I believe the correct answer is c.
6 0
3 years ago
A semitruck and its load is measured to weigh 31 tons. A toll is assessed such that $0.01 is paid for every 10 pounds of weight.
algol13

Answer:

62.00

Step-by-step explanation:

I failed the test cuz I put 62,000 lol but it showed me the correct answer is 62.00 ( sorry if the answer is late, <em>I hope this was helpful tho... :) )</em>

5 0
3 years ago
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will mark BRANLIEST and give you ALL MY POINTS, and answer ANY QUESTIONS U MAY HAVE!!!! pls help! tysm &lt;3
s2008m [1.1K]
Hi! i think the question represented by the number line is 1 minus -2 (so 1-2)

hope this helped!:)
6 0
4 years ago
Read 2 more answers
Isabella earns interest at an annual rate of 10% compounded annually on her savings account. She deposits $2,000 into her accoun
Alex Ar [27]
2420 after two years.

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3 years ago
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