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
Ulleksa [173]
3 years ago
10

In the diagram below, angle BAC = 34°.

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

a) 90°

b) 56°

Step-by-step explanation:

If we connect O with B to get two isosceles triangles: ΔAOB and ΔBOC

∠BOC= is central angle ans is twice as ∠BAC, so equals to 2*34°= 68°

Then ∠BCA= (180°- 68°)/2= 56°

∠ABC= ∠ABO+∠CBO= 34°+56°= 90°

You might be interested in
The areas of two similar rectangles are 180 ft.² and 320 ft.². What scale factor applied to the smaller rectangle will give the
grigory [225]
The ratio of areas is the square of the scale factor, so that factor is
  √(320/180) = 4/3
8 0
3 years ago
Which of the following equations have complex roots?
mestny [16]

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0

Evaluate the discriminant of each of the given equations.

\textsf{A.} \quad 3x^2+2=0

\implies a=3, \quad b=0, \quad c=2

\implies b^2-4ac=0^2-4(3)(2)=-24

As -24 < 0 the equation will have complex roots.

\textsf{B.} \quad 2x^2+1=7x

\implies 2x^2-7x+1=0

\implies a=2, \quad b=-7, \quad c=1

\implies b^2-4ac= (-7)^2-4(2)(1)=41

As 41 > 0 the equation does not have complex roots.

\textsf{C.} \quad 3x^2-1=6x

\implies 3x^2-6x-1=0

\implies a=3, \quad b=-6, \quad c=-1

\implies b^2-4ac=(-6)^2-4(3)(-1)=48

As 48 > 0 the equation does not have complex roots.

\textsf{D.} \quad 2x^2-1=5x

\implies 2x^2-5x-1=0

\implies a=2, \quad b=-5, \quad c=-1

\implies b^2-4ac=(-5)^2-4(2)(-1)=33

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0
2 years ago
Separated by or signs ​
Mademuasel [1]

Answer:

4242

Step-by-step explanation:

car is the best

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Dahasolnce [82]

Factor by using the rational roots test, and find that -2 is a root.

Replace X with -2 and simplify each term.

Divide the polynomial by (x+2)

The final answer becomes x = -2 and x = -1/2 +/-√3/2i

The first choice is the correct one.

5 0
4 years ago
Apr 23, 8:46:54 AM<br> What is the missing term?
kipiarov [429]
Answer: -10x
Explanation: Multiply -2 by 5x
7 0
3 years ago
Other questions:
  • Javier rode his bike for a total of 41 minutes.  Before lunch, he rode 1 minute less than 5 times the number of minutes he rode
    10·1 answer
  • 2x + 4y + z = 3<br> x − 2y − 3z = 4<br> x + y − z = −1
    5·1 answer
  • If 12 to 99 power - 12 to 97th power
    9·2 answers
  • I NEED HELP PLEASE, THANKS! :)
    12·1 answer
  • The width of a rectangle is 8 inches more than the length. The perimeter is 60. Find the length and width of the rectangle
    15·1 answer
  • A bookcase measures 13 ft wide and 24 ft tall. What would the bookcase's measurements be on a scale drawing using the scale 3 cm
    9·2 answers
  • Hector surveyed 500 people and asked them how far they drive to work and what is the last digit of their phone number. He used t
    10·1 answer
  • Please help me with this
    13·1 answer
  • (pleas help) Which statement describes the following expression? 6 x (3,117 + 724)
    8·2 answers
  • How much bigger is the area of a circle with a radius of 5 cm than a circle with a radius of 3 cm?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!