Answer:

Step-by-step explanation:
step 1
Find the measure of angle A
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so

substitute the given values

step 2
Find the length side c
Applying the law of sines

substitute the given values

solve for c


Answer:
x = - 2
Step-by-step explanation:

Answer:
1. 3/4 + 1/3 = 1 1/12
2. 1/6 + 2/3 = 5/6
3. 3/8 + 1/4 = 1/4
4. 1/3 + 2/5 = 11/15
5. 1/8 + 3/4 = 7/8
6. 2/5 + 7/10 = 1 1/10
7. 1/6 + 1/3 + 3/4 = 1
8. 1/10 + 3/10 + 3/5 = 1
9. 3/8 + 5/5 + 1/2 = 7/8
10. 11/16
Step-by-step explanation:
Answer:
Therefore,

Step-by-step explanation:
Consider a Δ ABC with
m∠ B= 45°
m∠ C = 90°
AB = c = 15 cm
To Find:
BC = a = y ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.

We know in a Triangle Sine Rule Says that,
In Δ ABC,

substituting the given values we get

∴ 
Similarly for 'x',


Therefore,

Answer:

Step-by-step explanation:
To find the speed, divide the distance by the time. We can use the following formula:

The racing car completed a 700 meter lap in 14 seconds. So, the distance is 700 meters and the time is 14 seconds.

Substitute the values into the speed formula.

Divide.

The speed of the racing car is 50 meters per second