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sergeinik [125]
3 years ago
10

PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​

Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

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If 1/3 is 0.333 then 3/3 is 0.999 that means 1 doesnt actually equal 1​
sergejj [24]

Answer:

Correct

Step-by-step explanation:

When you type 1/3 into a calculator it should give you something along the lines of .333333334. If you continue to round, eventually you will get 1.

7 0
3 years ago
Read 2 more answers
For what values of a are the following expressions true?/a+5/=-5-a
katovenus [111]

Explanation:

The expression is given below as

|a+5|=-5-a

Concept:

We will apply the bsolute rule below

\begin{gathered} if|u|=a,a>0 \\ then,u=a,u=-a \end{gathered}

By applying the concept, we will have

\begin{gathered} \lvert a+5\rvert=-5-a \\ a+5=-5-a,a+5=5+a \\ a+a=-5-5,a-a=5-5 \\ 2a=-10,0=0 \\ \frac{2a}{2}=\frac{-10}{2},0=0 \\ a=-5,0=0 \end{gathered}

Hence,

The final answer is

a\leq-5

5 0
9 months ago
What is the approximate value of 200,000 x 200
Nesterboy [21]

it would be 40000000 because there there are 7 zeroes and then you and then you multiply the two twos together and then put it in the front.

3 0
3 years ago
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PLZ HELP
nasty-shy [4]

Answer:

do u need other coordinates?

if so B'(1,-1)

C'(1,4)

D'(5,6)

the formula is (-x,y)

hope it helps :)

7 0
2 years ago
Find the radius pls. help
MA_775_DIABLO [31]

Good morning,

Answer:

<h2>r = 4 cm</h2>

Step-by-step explanation:

V = h × (base area)

  = 12 × (π×r²)

then 192π = 12π×r²

Then 192 = 12×r²

Then r² = 192÷12 = 16

Then r = √16 = 4.

:)

5 0
2 years ago
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