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Kay [80]
3 years ago
11

Given: △ABC, m∠B=120° AB=6, BC=10 Find: Area of △ABC

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0
A way to solve the problem; find out the answer.

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You need to find the LCM of 13 and 14. Would you rather use their multiples or their prime factorizations? Explain.
Vladimir [108]

Answer:

I would rather use their multiples.

Step-by-step explanation:

With 13 and 14, neither number has many factors (and few prime factors, for that matter) so factoring would be pretty much useless. If you wanted to use the prime factors of 14 (7 and 2) multiplying either of them by 13 would not give you the LCM. Actually the LCM is just 13*14 which is 182.

Good luck!

5 0
2 years ago
In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

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

6 0
3 years ago
3.<br> 3 cm<br> 11 am<br> 6 cm<br> 4.3 cm<br> 8 cm
Archy [21]
32cm yay I got it right
8 0
3 years ago
Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick
lisov135 [29]
7 students are home sick
7 0
2 years ago
The measure of an angle is twenty-four times the measure of its complementary angle. What is the measure of each angle?
Bogdan [553]

Answer:

<h2>         3.6° and 86.4°</h2>

Step-by-step explanation:

24x   - measure of an angle

x      - the measure of a complementary angle

Complementary angles adds to 90°

x + 24x = 90°

25x = 90°

x = 90°÷25

x = 3.6°

24x = 24·3.6° = 86.4°

7 0
3 years ago
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