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Elenna [48]
3 years ago
5

The size of a beehive is decreasing at a rate of 15% per month.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0
What are the answers given
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A triangle has sides with lengths 5, 12, and 13. Verify this is a Pythagorean triple. Approximate the acute angles in this trian
djyliett [7]

A triangle with lengths 5, 12, and 13 is a Pythagorean triple

The approximate acute angles are 22.6° and 67.4°

Pythagorean triple

Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:

  • c² = a² + b²

A triangle whose sides form a Pythagorean triple is called a right angle triangle.

The longest side is the hypotenuse side.

Therefore,

  • 5² + 12²
  • 25 + 144 = 169
  • √169  = 13

Therefore,

5² + 12² = 13²

This means the triangle is a Pythagorean triple.

<h3>Acute angles</h3>

Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.

Therefore, let's find them

  • tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
  • 180 - 22.6 - 90 = 67.4°

learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults

7 0
2 years ago
Read 2 more answers
The following two parallelograms are drawn below. Find the measurement of FE or the variable “x”
labwork [276]

Answer:

x=15 in.

Step-by-step explanation:

If the parallelograms are equal (I assume they are), then the ratios are the same. 12 is 3/4 of 16. 3/4 of 20 is 15.

4 0
2 years ago
Write an equation for a line that passes thruogh (3,-1) and has a slope of 2
harkovskaia [24]

Answer:

y=2x−7

Step-by-step explanation:

so

formula is ( y 1 − y = m ( x 1 − x))

m is the slope

-1-y=2(3-x)

add 1 to both sides

−y−1+1=−2x+6+1

−y=−2x+7

divide both sides by -1

y=2x−7

Hope this helps

Brainliest please

Ask if u have more questions.

3 0
3 years ago
Solve the equation P=KTV for the letter K.
ddd [48]

Answer:

K = \frac{P}{TV}

Step-by-step explanation:

P = KTV

Divide both sides by TV

(P/TV) = K

5 0
2 years ago
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Wh
Alexxandr [17]

Answer:

  $361,223

Step-by-step explanation:

Each year, the value is multiplied by 1+5% = 1.05. After 51 years, it has been multiplied by that factor 51 times, so is now ...

  $30,000×1.05^51 ≈ $361,223

6 0
3 years ago
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