Answer:
The speed of the biker is 15
Step-by-step explanation:
First, you call the speed of the walker x, and the speed of the biker 2.5x.
Then you know that speed times time equals distance, so you set up and equation. You do x times 2, which is 2x, and then 2.5x times 2, which is 5x. Then, since the distance between them is 18 miles, the equation would be 5x-2x=18. You would get 3x=18, and x is 6. So 6 is the speed of the walker, and 6 times 2.5 = 15, so the speed of the biker is 15.
Answer:
9.48
Step-by-step explanation:
Complete question
<em>A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the pyramid?</em>
To get the height of the pyramid, we will use pythagoras theorem.
slant height l is the hypotenuse
length of the base is the adjacent
height of the pyramid is the opposite
According to the theorem;
l² = h² + b²
90.1² = h² + 89.6²
8,118.01 = <em>h²+</em>8,028.16
h²= 8,118.01 - 8,028.16
h² = 89.85
h =√89.85
h = 9.48
Hence the height of the pyramid will be 9.48
<em>Note that the value of the slant height was assumed to solve the problem</em>.
20*.4= 8
(20 as the original price, .4 is 40% as a decimal)
20+8
(eight being 40% of 20)
$28 is the new price.
9514 1404 393
Answer:
(c) (3, 3)
Step-by-step explanation:
Point E partitions both the x-distance and the y-distance in the ratio 2 : 1. That is, for either the x-coordinates or the y-coordinates, ...
CE : ED = 2 : 1
Try the answers with the x-coordinates.
CE : ED = (1 -(-1)) : (5 - 1) = 2 : 4 . . . . incorrect
CE : ED = (-3 -(-1)) : (5 -(-3)) = -2 : 8 . . . . incorrect
CE : ED = (3 -(-1)) : (5 -3) = 4 : 2 = 2 : 1 . . . . correct
CE : ED = (-1 -(-1)) : (5 -(-1)) = 0 : 6 . . . . incorrect
The only viable choice is (3, 3).
_____
<em>Alternate solution</em>
For a partitioning of m : n, the desired point is ...
E = (n×C +m×D)/(m+n)
For partitioning of 2 : 1, the desired point is ...
E = (1×(-1, -3) + 2×(5, 6))/(2+1) = (-1+10, -3 +12)/3
E = (3, 3)
The correct answer is (x+6)(x+7). Great job.
