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
Igoryamba
3 years ago
6

In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.​

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

sin(\angle BDC)=BC/BD

BC=(BD)sin(\angle BDC)

substitute the values

BC=(22)sin(30\°)=11\ cm

You might be interested in
Half a number plus 2.5 times that number equals 18. What is the number?
Sholpan [36]

Answer:

It's 6.

Step-by-step explanation:

this was so confusing

4 0
3 years ago
I need help on this please help
kotykmax [81]

Answer:

4

Step-by-step explanation:

\sqrt[3]{64} = \sqrt[3]{4*4*4}=4

4 0
3 years ago
Read 2 more answers
A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student
yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

The information provided is as follows:

n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43

The critical value of <em>z</em> for 98% confidence level is,

z_{\alpha/2}=z_{0.02/2}=2.326

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

     =(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0
3 years ago
If (ax+2)(x+b) = 3x^2 + 5x + c for all values of x, what is the value of c?
mr Goodwill [35]

Answer: is it 0.258

Step-by-step explanation:

4 0
3 years ago
Please help with problem
KatRina [158]
-3
Step by Step guide
y =  \frac{3}{2} ( - 4) + 3
y =   - 6 + 3
y =  - 3

5 0
3 years ago
Other questions:
  • WILL MARK BRAINLIEST
    10·1 answer
  • A bag contains 6 red marbles, 8 blue marbles, and 6 white marbles. if one marble is selected at random from the bag and not repl
    13·1 answer
  • Who can solve this one example2
    10·1 answer
  • What is the radius for (-2,3)
    13·1 answer
  • QUESTION 9 Imagine that the mean height for all Division I women's basketball programs is 69 inches with a standard deviation of
    13·1 answer
  • Last week Isaiah and his roommates ate 3/8 of a carton of yogurt, and this week they ate
    11·1 answer
  • Find the missing segment in the image below​
    10·1 answer
  • HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
    10·1 answer
  • Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t) models the weight of sheep (in kg) that H
    5·1 answer
  • I neeeddd hellppp on this
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!