<h3>
Answer: C) scalene</h3>
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Explanation:
Use the distance formula to calculate the distance from R to S. This is identical to the length of segment RS.
Segment RS is exactly 5 units long.
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Repeat similar steps to find the length of segment ST
ST is roughly 4.2426 units long.
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Lastly, let's calculate the length of segment TR.
TR is about 6.0828 units long.
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Summary of the segment lengths:
- RS = 5 exactly
- ST = 4.2426 approximately
- TR = 6.0828 approximately
The three sides are different lengths.
Therefore, the triangle is <u>scalene</u>.
Answer: a) 110√2 meters
b) 2.42 hectares
<u>Step-by-step explanation:</u>
a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse. Therefore, the sides are length x and the diagonal is length x√2.
b) Area of a square is side squared. 10,000 meters² = 1 hectare
Answer: 84.9
Step-by-step explanation:
Model's equation: y=1.11x^2
Since y = 2000
y = 1.11x^2
2000 = 1.11x^2
x^2 = 2000/1.11
x^2 = 1801.8
x = 42.45
Diameter of the smallest circle will be:
= 2x
= 2 × 42.45
= 84.9
I can’t see the exact numbers because the pic is blurry but here’s how to solve it.
The three angles in a triangle always add up to 180. So subtract the angle that’s given and you’ll have the sum of the two other angles. Since it’s an equilateral triangle, the other two angles are the same.
So write the equation 2(whatever the angle is) = the number you get when you do 180-the given angle
For example (I’m not sure these numbers are right because the pic is blurry)
2(9x+7)=114
Then you would solve for x and once you get x, plug it into the angle expression 9x+ 7 or whatever to get the angle measure.
Assuming 5 is the base. I'm going to leave that out for now.
2log(5x^3) + (1/3)log(x^2+6)
power rule
log(5^2 x^3*2) + log((x^2 + 6)^(1/3))
log(25x^6) + log((x^2 + 6)^(1/3))
quotient rule
log(25x^6 / (x^2 + 6)^(1/3))
