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
Leokris [45]
3 years ago
12

5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.

Mathematics
1 answer:
ycow [4]3 years ago
6 0

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

\frac{AC}{sin30} = \frac{15}{sin40} ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = \frac{15sin30}{sin40} ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = \frac{adjacent}{hypotenuse} = \frac{BC}{AC} = \frac{BC}{11.668} ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

You might be interested in
Find f(-3) for f(x) = 4(2)^x<br> A. 1/8<br> B. -32<br> C. 1/2<br> D. -24
Law Incorporation [45]

{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}

Find f(-3) for f(x) = 4(2)^x

  • D.-24

((−3)(4))(2)

=(−12)(2)

=−24

8 0
2 years ago
Please help on this ill give braneliest
horsena [70]

Answer:

-2.5

Step-by-step explanation:

25/-10 = -2.5

20/-8 = 2.5

10/-4 = 2.5

-5/2 = 2.5

so the answer is -2.5

Can I pls have brainliest

8 0
2 years ago
Solve (x+y) if x=-1/2 and y=-3
bixtya [17]

Answer:

-3\frac{1}{2}

Step-by-step explanation:

Solve

(x+y)

For x=-1/2 and y=-3

substitute the value of x and the value of y in the expression above

x+y=(-\frac{1}{2})+(-3)

Remember that

(+1)(-1)=-1

so

x+y=-\frac{1}{2}-3=\frac{-1-6}{2}=-\frac{7}{2}

Convert to mixed number

-\frac{7}{2}=-\frac{6}{2}-\frac{1}{2}=-3\frac{1}{2}

7 0
3 years ago
Choose the greatest of the four
iragen [17]

Answer:

D 1.33

Step-by-step explanation:

B and C are less than 1

A is one and .30

D is one and .33

33>30

4 0
3 years ago
Read 2 more answers
Three times the sum of n and four is twelve. write an equation or inequality.​
lisabon 2012 [21]

9514 1404 393

Answer:

  3(n+4) = 12

Step-by-step explanation:

The sum of n and 4 is (n+4). Three times that sum is 3(n+4). When we say it "is 12", we mean it is equal to 12.

  3(n +4) = 12

5 0
2 years ago
Other questions:
  • Emily is 62 years old. Colin is 3 years older than Emily. Dan is 8 years younger than Emily. What is the total of their combined
    14·2 answers
  • When John bought his new computer he purchased an online computer help service. The help service has a yearly fee of 25.50 and a
    8·1 answer
  • on the opening day at a toy store, every third customer gets a ball and every fourth customer gets a stuffed animal . sixty peop
    13·1 answer
  • Five whole numbers are written in order
    11·2 answers
  • What is 427 thousand in scientific notation
    13·1 answer
  • What are factors?
    10·1 answer
  • Help me with this question ;-;
    13·2 answers
  • If R, S, and T are collinear and RS + ST = RT, which of the following is true?
    5·2 answers
  • Show Step by step for solving <br><br>-6(n-3) = 5(4-n)​
    6·1 answer
  • If f(x)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!