<h3>
Answer: 26</h3>
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Explanation:
a = 26 and b = 26 are the congruent legs
angle C = 60 degrees is between sides 'a' and b
c = unknown base which is opposite angle C
We'll use the law of cosines to find this missing side.
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 26^2 + 26^2 - 2*26*26*cos(60)
c^2 = 676
c = sqrt(676)
c = 26
It turns out that all three sides are the same length (26), which means this isosceles triangle is really equilateral. Consequently, it means all three interior angles are 60 degrees each.
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Here's another way to see why we have an equilateral triangle.
The vertex angle is 60 degrees. Let x be the measure of each base angle. Those two base angles add to the 60 degrees to get 180
x+x+60 = 180
2x+60 = 180
2x = 180-60
2x = 120
x = 120/2
x = 60
Each base angle is 60 degrees, so all three angles are 60 degrees. This points us to the triangle being equilateral and we can say all three sides are 26 units long.
If we didn't have an equilateral triangle, then we'd have no choice but to use the law of cosines mentioned earlier.
Answer: it took them 7 hours to travel 49 miles.
Step-by-step explanation:
The exploratory scouts travel 32 miles in eight hours.
Speed = distance/time
It means that the speed at which they travelled 32 miles is
32/8 = 4 miles per hour.
The next day they had traveled 49 miles so they increase the speed by 3 mph. It means that the speed at which they travelled 49 miles is
4 + 3 = 7 mph
Time = distance/speed
Therefore, the time it took them to travel the 49 miles is
49/7 = 7 hours
Answer:
<h2>
y = -¹/₂
x + 4 </h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -¹/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
The point-slope form of the equation:
y - 3 = -¹/₂
(x - 2)
So:
y - 3 = -¹/₂
x + 1 {add 3 to both sides}
y = -¹/₂
x + 4 ← the slope-intercept form of the equation
Answer:
B, because that's the side that wasn't given
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
