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
PLEASE HELP ME GIVING 20 POINTS!! 16 &gt; -8 + x
KonstantinChe [14]

Answer:

The answer is x<24

7 0
3 years ago
Read 2 more answers
FIRST ONE TO ANSER WILL BE MARKED BRAINLIEST!!
FromTheMoon [43]
Ok so
-10, -6
4,-6
-3,-13
-3,1
should be it
7 0
3 years ago
Read 2 more answers
PLEASEEE HELP ME WHAT IS THE ANSWER!!
blagie [28]

Answer:

Number 3 is correct.

129.19m

Step-by-step explanation:

You might be wondering how did I got 32⁰, well, that's because they are alternate angles.

Now, we're trying to find the opposite side of the triangle.

Using the laws,

we got cos32⁰=x/243.8

243.8cos32⁰=x

129.19⁰

Mark me as Brian list?

3 0
3 years ago
Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
2) Phillip has 8 red balls, 3 green balls, 6 yellow balls, 3 orange balls, 13 black balls
AVprozaik [17]
Mean 6.6
Median 6
Mode 3
Range 10

not positive on the 6.6 but the rest should be good
5 0
3 years ago
Other questions:
  • Solve the inequality and graph the solution set on a number line 200-4.5x less then equal to 20
    15·1 answer
  • A model car has a scale factor of 1/64. The diameter of a tire on the model is 0.39. So, the diameter of the tire on an actual c
    6·1 answer
  • If you had a set of numerical data, and you wanted to see individual data, what type of graph should you use?
    14·1 answer
  • Use the discriminant to describe the roots of each equation. Then select the best description. 3x2 - 2 + 7x = 0
    8·1 answer
  • ) A puppy named Shasta started out at 3 pounds and gained 2 pounds every month. At
    9·1 answer
  • Two hikers, Charles and Maria, begin at the same location and travel in perpendicular directions. Charles travels due north at a
    5·1 answer
  • XY is formed by X(-9,-7) and Y (-3,5 is line j is the perpendicular bisector of XY
    13·1 answer
  • What is 23 x 26 - 78 + 45
    10·2 answers
  • Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20-pound mixture. If the mixture
    10·1 answer
  • An expression to show 5 less than the sum of y and g.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!