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zalisa [80]
3 years ago
11

Introduction Sort each number into the correct category

Mathematics
1 answer:
Lorico [155]3 years ago
3 0

Answer:

Prime: 11, 13, 29.

Composite: 21, 15, 16.

Step-by-step explanation:

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I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!
Brilliant_brown [7]

Answer:

\huge\boxed{IJ \approx 2.01}

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: \text{sin(42)} = \frac{x}{3}

Let's now solve for x.

  • \text{sin(42)} = \frac{x}{3}
  • 3 \cdot \text{sin(42)} = x
  • \text{sin(42)} \approx 0.67
  • 3 \cdot 0.67 \approx 2.01

Therefore, the length of IJ will be around 2.01.

Hope this helped!

4 0
2 years ago
3
Lynna [10]

Answer:

C

Step-by-step explanation:

greatest spread for the middle 50% of data refers to the IQR, or interquartile range

A) IQR = 5

B) IQR = 5

C) IQR = 7

D) IQR = 6

6 0
3 years ago
Katherine needs to cut a piece of cardboard for an art project at school. She has four pieces of cardboard that she can cut from
Rasek [7]
Cut five inches to creat the least amount of unused cardboard.
3 0
3 years ago
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
stiks02 [169]

Answer:

Pythagorean Theorem: c2 = a2 + b2

Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh

Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.

The total area of the trapezoid is : A1 + A2 = ab + ½c2

You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2

You subtract out the 2ab: a2 + b2 = c2.

Then what is left is the proof: a2 + b2 = c2

6 0
2 years ago
Simplify 6 - 2 3 + (-9 + 5) · 2.
Licemer1 [7]
Answer: -25

Hope this helps! <3
4 0
3 years ago
Read 2 more answers
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