B. 3 √3
The shortcuts for a 30 60 90 triangle is that the:
Hypotenuse is 2 times the short leg
The long leg is √3 times the short leg.
Making it 3 √3
Another way is by the Pythagorean Theorem.
a^2+b^2=c^2
3^2+b^2=6^2
9+b^2=36
Subtract 9 from both sides
b^2=27
Square root both sides
b=5.2 or the √27
√27 can be simplified more
An equation that equals to 27 that has a perfect square is 9*3
√9* √3
The perfect square of 9 equals to 3
So 3 √3
Answer:
16
Step-by-step explanation:
Plug things in then use PEMDAS:
m * (7+9) * n
= 0.5 * (7+9) * 2
= 0.5 * 16 * 2
= 16
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:
brainly.com/question/25852087
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Answer:
Hey! I believe this is your answer:
11094%
Step-by-step explanation:
Answer:
Here's what I find.
Step-by-step explanation:
You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.
a) i) The recursive formula
Let dₙ = the deer population n years after the initial measurement.

For this situation,

a) ii) Definitions
n = the number of years from first measurement
r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.
a) iii) First term of sequence
The first term of the sequence is d₀, the population when first measured.
b) The function formula
The formula for the nth term of a geometric series is

c) Value of d₀
Let n = 2; then d₂ = 800
