<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
Answer:
12.449899598
Step-by-step explanation:
You would use pythagoras thereom.
C^2=A^2+B^2
The hypotenuse is C (which is the longest side of the triangle - 18).
18×18=13×13+B^2
324=169+B^2
324-169=B^2
155=B^2
Square root B to get B on it's own which would be 12.449899598.
Answer:
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = -x + 5
// Plug this in for variable y in equation [1]
[1] x - 2•(-x +5) = 8
[1] 3x = 18
// Solve equation [1] for the variable x
[1] 3x = 18
[1] x = 6
// By now we know this much :
x = 6
y = -x+5
// Use the x value to solve for y
y = -(6)+5 = -1
Solution :
Answer:
262
Step-by-step explanation:
From the Question, we know that:
In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%.
Step 1
Find the amount decreased
35% × 403
= 35/100 × 403
= 141.05
Step 2
The amount of robberies this year is:
= 403 - 141.05
= 261.95
Approximately to the nearest whole number = 262
