The length of the brace required is 4.3m
What is sine rule?
In a ΔABC a, b and c are the sides and A, B and C are angles then,
We can find the length, l as shown below:
Let AB=3m, BC=2m and AC=l
Let ∠A=25°
So, in ΔABC
∠C=39.34°
∠A+∠B+∠C=180°
∠B=180°-25°-39.34°
∠B=115.66°
l=4.2659
Rounding to nearest tenth of meter.
l=4.3m
Hence, the length of the brace required is 4.3m
Learn more about Sine Rule here:
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Answer:
(1.5,-2.6)
Step-by-step explanation:
Given the polar coordinates (-3,60°).
Let our Cartesian coordinates be (x,y)
#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:
#Using the illustration above, we can express our polar coordinates as:
#Solve simultaneously to solve for x and y:
Hence, the Cartesian coordinates are (1.5,-2.6)
125 = 5^3 = 25 * 5
The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.