Hawick is 15 kilometers south of Abbotsford, and Kelso is 17 kilometers east of Abbotsford.
1 answer:
Hawick is 15 kilometers south of Abbotsford, and Kelso is 17 kilometers east of Abbotsford. What is the distance from Hawick to Kelso? Round your answer to the nearest tenth of a km.
Answer:
22.7 km
Step-by-step explanation:
The shape formed by this problem is a right triangle which is attached.
We apply Pythagoras Theorem
The distance from Hawick to Kelso is 22.7 km (to the nearest tenth of a km)
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Check the picture below.
a circle has a total of 360°, if we split the circle with a hexagon's radii, each radii with their vertices will make an equilateral triangle who will have three 60° angles. Anyhow, if we run a line like the apothem "a" there, we'll end up with a 30-60-90 triangle, and then we can apply the 30-60-90 rule, as you see there.
since we know then that the distance from a vertex at the base to the center is 2, and the slant-height, sticking out from that vertex, is 6, then we can use the pythagorean theorem as you see in the picture, to get the distance V.
a circle has a total of 360°, if we split the circle with a hexagon's radii, each radii with their vertices will make an equilateral triangle who will have three 60° angles. Anyhow, if we run a line like the apothem "a" there, we'll end up with a 30-60-90 triangle, and then we can apply the 30-60-90 rule, as you see there.
since we know then that the distance from a vertex at the base to the center is 2, and the slant-height, sticking out from that vertex, is 6, then we can use the pythagorean theorem as you see in the picture, to get the distance V.
Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
And we want to find the remainder after it is divided by the binomial:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:
The remainder will be 6.