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
Aloiza [94]
3 years ago
13

Please help!!!!CE is tangent to this circle, CD is a radius and ECB=48 what is BAC​

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

48degrees

Step-by-step explanation:

From the circle geometry shown, traingle BDC is an isosceles triangle which shows means that their base angels are the same. Hence;

<B = <C

<CBD + <BCD + <D = 180

<BCD + <BCD + <D =180

2<BCD + <BDC = 180

Get <BCD;

<BCD+ <ECB = 90

<BCD + 48 = 90

<BCD = 90 - 48

<BCD = 42degrees

Get <BDC

2<BCD + <BDC = 180

2(42)+ <BDC = 180

84 + <BDC = 180

<BDC = 180 - 84

<BDC = 96

Since angle at the centre is twice that at the circumference, then;

<BAC = 1/2(<BDC )

<BAC = 96/2

<BAC = 48degrees

You might be interested in
The circumference of a circle is 20π cm. What is the DIAMETER of the circle?
marshall27 [118]
D≈6.37

<span>CCircumference 20</span>
5 0
3 years ago
Read 2 more answers
Please answer these 4 math questions for me! Pretty easy! need then ASAP!!!!! I have to get them right or my life is doomed! (ca
Grace [21]

Answer:

Last one is 90 and -65, 3rd one is 120 feet i think, and i am 99% sure 2nd one is 129

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Better to be a free bird than a captive king
Cerrena [4.2K]
What is the question?
5 0
3 years ago
2. A square-based tent has the cross-sectional
ollegr [7]

(a) Length of the height is 2.732 m

(b) Length of the base is 5.466 m

<u>Explanation:</u>

An image is attached for reference.

(a)

In ΔAOB,

sin 30^o = \frac{AO}{AB} \\\\0.5 = \frac{AO}{2} \\\\AO = 1 m

In ΔBGD,

sin 60^o = \frac{BG}{BD} \\\\0.866 = \frac{BG}{2} \\\\BG = 1.732 m

According to the figure, BG = OE = 1.732 m

Height of the tent, AE = AO + OE

                                  = 1 m + 1.732 m

                                  = 2.732 m

(b)

DF = ?

In ΔAOB,

tan 30^o = \frac{AO}{OB} \\\\0.577 = \frac{1}{OB} \\\\OB = 1.733 m\\\\\\

According to the figure, OB = GE = 1.733 m

In ΔBGD,

tan 60^o = \frac{BG}{DG} \\\\1.732 = \frac{1.732}{DG}\\ \\DG = 1m

According to the figure, DE = DG + GE

                                      DE = 1 m + 1.733 m

                                     DE = 2.733 m

Length of the base, DF = 2 X DE

                              DF = 2 X 2.733 m

                               DF = 5.466 m

8 0
3 years ago
Help me please I need help
Tamiku [17]

Answer:

AGE should be 35

Step-by-step explanation:

same as DGB

8 0
2 years ago
Other questions:
  • What is the area of the polygon below?
    6·2 answers
  • Tentukan himpunan penyelesaian dari persamaan berikut:<br> 3y+15=5y-1
    13·1 answer
  • 22) Talia and Selena searched their house for dimes and
    6·1 answer
  • BE SURE PLEASE BRAINLIEST<br> Let C=20. Evaluate the expression <br> 2c+6
    13·2 answers
  • Which line is parallel to y=3/4x-3
    10·1 answer
  • Im completely stuck, can someone please help me out??
    5·1 answer
  • 5. What is the average of these numbers? Round to nearest tenth. 10, 28, 8, 16, and 22​
    12·1 answer
  • Brendan has a cherry tree in his yard. Currently the tree is 9 feet tall. That is 50% taller than it was when Brendan planted it
    12·2 answers
  • Please help!! I'll give 50 points
    8·2 answers
  • What kind of number is e? <br><br> a.) integer<br> b.) rational <br> c.) natural <br> d.) irrational
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!