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Contact [7]
3 years ago
5

WILL MARK BRAINLIEST IF RIGHT

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

Answer:

  • AB = 16√3
  • AC = 8√3
  • BC = 24

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

In ΔAHD, the side opposite angle DAH is DH, and the hypotenuse is AD, so we have ...

  sin(∠DAH) = DH/AD = 4/8

  ∠DAH = arcsin(4/8) = 30°

That makes ΔAHD a 30°-60°-90° triangle, so the side lengths have the ratios 1 : √3 : 2.

∠CAB = 2·30° = 60°, so ΔABC is also a 30°-60°-90° triangle having the same ratios of side lengths.

In short, ...

  AH = √3·DH = 4√3

  AC = 2·AH = 8√3

  AB = 2·AC = 16√3

  BC = √3·AC = 8·(√3)² = 24

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4 years ago
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Find the area of the un-shaded part. ABCD and EFGH are two rectangles. AB = 10 inches, BD = 8 inches EF = 6 inches FH = 4 inches
Serggg [28]

Answer:

56 inches!

Step-by-step explanation:

Rectangles ABCD and EFGH are concentric, that means that they are almost the same but their sides have a different ratio.

First, lets find the area of EFGH.

1). Area of EFGH = a * b = 4 * 6 = 24 inches

Then we will find the area of ABCD.

2). Area of ABCD = a * b = 10 * 8 = 80 inches.

Now we know the areas of the rectangles, we can find the area of the un-shaded part.

3). Area of ABCD - Area of EFGH = 80 - 24 = 56 inches

So, 56 inches will be your answer.

Hope this helps))) ^‿^

7 0
3 years ago
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kari74 [83]

Answer:

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Step-by-step explanation:

hope this helps

3 0
2 years ago
2 Points
Over [174]

Answer:

A. Five places to the left

Step-by-step explanation:

Scientific notation is a method used so we can show a very big/small number easier. Rather than putting so many zeroes, we put the number in the format of a number multiplied by 10^x.

Before putting a number into scientific notation, you need to know which number is a significant  figures. In this question, there are two significant figure which is 39, all zeroes on the right is insignificant. We can move the decimal to convert the number into 3.9 * 10^5. Basically you need to move the decimal to the left  if the exponent positive, but move it to the right if its negative. The exponent is +5 so we move the decimal points 5 places to the left.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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