1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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:

You might be interested in
Can someone help me solve this proportion:<br> 5/n=1.5/1.8
Jet001 [13]
\frac{5}{n} =\frac{1.5}{1.8} \\ \\ n\neq 0 \\ \\1.5n=5\cdot 1.8\\ \\1.5n= 9 \ \ / : 1.5 \\ \\ n=6


5 0
3 years ago
Read 2 more answers
2 Which of the following polynomials is not written in standard form?
Varvara68 [4.7K]

Answer:

3

Step-by-step explanation:

Standard form is written in the order of the exponent <em>on</em><em> </em><em>a</em><em> </em><em>variable</em> from highest to lowest.

#1 exponents go 2, 1 , then zero. So, this is standard form.

#2 exponents go 2 then zero, so this is standard form.

#3 exponents go 1 then 2 then zero, so this is <em><u>not</u></em> in standard form.

#4 exponents go 3 to 2 to 1, so this is still in standard form.

hope this helps!

8 0
3 years ago
Consider this function: f(x) = -4x + 7. Which polynomial is equivalent to f(f(x))? A. 16x – 28 B. 16x2 – 56x + 49 C. 16x – 21 D.
Temka [501]

Answer:

The answer is :

C. 16x - 21

5 0
2 years ago
Writing Algebraic Expressions the product of 3 and X
Vlada [557]

Step-by-step explanation:

3 \times x

3x

7 0
2 years ago
!!!!!URGENT!!!!!!
nasty-shy [4]

Answer:

hope this helps

Step-by-step explanation:

If you break the fraction into a whole number it would be 5 and 10 minus 5 is 5. so x=5

8 0
3 years ago
Other questions:
  • Solve for n<br> 2n+3= -3.2
    5·2 answers
  • Not sure what the answer is lol
    9·1 answer
  • Give coordinates for any three points that are on the same horizontal line. Include at least one point that has a fraction as a
    13·1 answer
  • Help plz I'm new here
    6·1 answer
  • Please help me with this question, #5.
    8·1 answer
  • If a cube shaped box has a volume of 512 cm^3 if the box was filled with 1 cubic cm how many blocks make up each layer
    5·1 answer
  • Find the unknown angle​
    15·1 answer
  • 2 × 989 =<br><br> Show your work using the area model.
    12·1 answer
  • Which expression is equivalent to (3a)-2?<br> O<br> o<br> 3a2<br> ܝ | ܝ | ܚ| ܘ ܩ|ܛܘ
    8·1 answer
  • Can someone help me with this and show work pleaseee!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!