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Bad White [126]
3 years ago
14

4. Determine all unknown sides and angles to 1 decimal place.

Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer:

The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees

Step-by-step explanation:

4a) Given the following

Opposite side = 38cm (side facing the given angle)

Required

Adjacent and hypotenuse side

According to SOH CAH TOA

tan \theta = \frac{opp}{hyp}\\tan 32=\frac{38}{hyp}\\hyp=\frac{38}{tan 32}\\hyp=\frac{38}{0.6249}\\hyp=  60.81cm

Next is to get the adjacent

Cos 32=\frac{adj}{60.81}\\adj=60.81cos32\\adj=60.81(0.8480)\\adj= 51.57cm

Next is to get the missing

Since sum of angle in the triangle is 180degrees

32 + 90 + x = 180

122 + x = 180

x = 180 - 122

x = 58degrees

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3 years ago
Why 2+2=4 and not 2+2=22 ?
Lunna [17]

2 + 2 = 4 because 4 is a sum of 1-digit numbers

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Step-by-step explanation:

Lets explain some important notes:

  • The 1-digit number consists of one digit, 4 is a one-digit number
  • The 2-digit number consists of two digits, ones digit and tens digit, 23 is a 2-digit number, the ones digit is 3 and the tens digit is 2, so its value is 20 + 3
  • The 3-digit number consists of ones digit, tens digit and the hundreds digit, 123 is a 3-digit number, the ones digit is 3, the tens digit is 2 and the hundreds digit is 1, so its value is 100 + 20 + 3

∵ 2 + 2 is the addition problem of two 1-digit numbers

∴ There sum will be 4 which is also 1-digit number

∴ 2 + 2 must be 4

∵ 22 is a two digit number

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2 + 2 = 4 because 4 is a sum of 1-digit numbers

2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers

Learn more:

You can learn more about the place value of numbers in brainly.com/question/13174282

#LearnwithBrainly

8 0
3 years ago
How do i answer this and how do i find the modal
faltersainse [42]
So firsty up, you need to have equal denominators IN order to do this equation.

 1/3 and 5/12..

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8/12 + 1/12= 9/12 and 9/12 simplified is 3/4..

So the answer is 3/4.

Hope this helped.
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Read 2 more answers
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