Answer:
5/√3 inches long.
Step-by-step explanation:
The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.
Answer:
Approximately 11.5 units.
Step-by-step explanation:
We need to find the side opposite to ∠W. We are given the two angles ∠W and ∠X. We are also given that Side X is equal to 7. Therefore, we can use the Law of Sines.
Now, like last time, use the Law of Sines:

We can ignore the first term. Plug in 144 for ∠W, 21 for ∠X, and 7 for <em>x</em>.

Cross multiply:

Answer:
(-2,-2)
Step-by-step explanation:
for question number 15...cordinated grid shows each equation...first equation is represented by straight line going upwards through +4 in y axis...(y=3x+4)...
point is....every point in this two lines represent a possible x and y value for each equation...and there is a point where these lines meet each other....in that point...x and y values are possible values for both equations.so answer is (-2,-2)...this cordination satisfy each pairs of equation...you can try using -2 for x in both equations and get -2 as the answer for y...that proves the point..try it for 16 quiz.good luck
Answer:
= 52sqrt3
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
Where a and b are the parallel sides and h is the perpendicular height.
a = 15 ft, b= 11 ft and h = 4√3
Therefore;
Area = 1/2 (15+11) 4√3
= 1/2 × 26 × 4√3
= 52√3 ft²
Answer:
4/5:2/5 = ratio of degrees to time
2/5*2.5 = 1 min
4/5*2.5 = 10/5 = 2
2 degrees every min
Step-by-step explanation: