Answer:
101 meters
Step-by-step explanation:
The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.
leg 1 = 99 m
leg 2 = 20 m
hypotenuse = ?
We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2
99^2 + 20^2 = c^2
9801 + 400 = c^2
c^2 = 10201
c = sqrt(10201) = 101
Answer: 101 meters
Answer:
Given
Step-by-step explanation:
Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.
Comparing △RST and △VWX;
TU ~ XY (given altitudes of the triangles)
<TUS = <XYW (all right angles are congruent)
<UTS ≅ <YXW (angle property of similar triangles)
Thus;
ΔTUS ≅ ΔXYW (congruent property of similar triangles)
<UTS + <TUS + < UST = <YXW + <XTW + <XWY = 
(sum of angles in a triangle)
Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX
So that:
= 
(corresponding side length proportion)
How much money is that?? In America
Answer:
Within 0.5 of ;
is not ;
Step-by-step explanation:
Given the data:
The actual standard deviation, = 1
;
The range rule of thumb to estimate the value if standard deviation is ;
Estimated standard deviation = Range / 4
The range = (maximum - minimum) values
The estimated standard deviation = 4 / 4 = 1
Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.
Answer: $352.48
Step-by-step explanation:
Hi, to answer this question we have to apply the formula:
A = P (1 + r)^t
Where
A: total balance after invest
P: principal amount invested
r = interest rate (in decimal form)
t = time (years)
Replacing with the values given:
500= P (1+0.06)^6
Solving for P:
500 = P (1.06)^6
500 / ( (1.06)^6)=P
500 / 1.4185 =P
$352.48= P
