Answer: The distance between the girls is 362.8 meters.
Step-by-step explanation:
So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.
The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:
Tan(A) = opposite cath/adjacent cath.
Tan(40°) = X/160m
Tan(40°)*160m = 134.3 m
Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°
So we have:
Tan(55°) = X/160m
Tan(55°)*160m = X = 228.5 m
And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:
Dist = 228.5m + 134.3m = 362.8m
Length of segment HJ is 5√3 units
Step-by-step explanation:
Here, apply the Pythagorean relationship where sum of squares of the sides equals the square of the hypotenuse.
Given that the hypotenuse, c= 10 units, and one of the side, a=5 units, then the other side can be calculated as;
a²+b²=c²
5²+b²=10²
b²=10²-5²
b²=100-25
b²=75
b=√75 = √3*25 = √3 *√25 = √3 *5 = 5√3
Length of segment HJ is 5√3 units
Learn More
Pythagorean relationship:brainly.com/question/14532944
Keywords :triangle, right-angle, side, hypotenuse,line segment
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Answer:
Step-by-step explanation:
-0.4(3i + 4i) - 0.3(-2i + 5j) + 0.2(-
+ 
j)
-1.2i - 1.6j + 0.6i - 1.5j - 
i + 0.5j
Converting to fraction form;
<u>Solving the i part;</u>
= 
<u>Solving the j part;</u>
j
So -0.4a - o.3b + 0.2d = - 
Divide the price by the number of months to find the monthly rate.
<span>$237.36 ÷ 24 = $9.89 per month </span>
<span>$184.50</span><span> ÷ 18 = $10.25 per month
The two year club, Aqua Plus is cheaper
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Answer:
Last one, triangles AOB and COD
Step-by-step explanation:
In step 3, they are talking about the side/angle/side postulate. That helps in describing a triangle, therefore she must be talking about a triangle
