The ratio of the number of miles Kyle drives to the number of hours he is driving is 468 to 9. What is Kyle's rate of speed? A)
2 answers:
You might be interested in
Answer:
A) (7.6, 8.8)
which are the coordinates of the treasure.
Missing Problem Statement:
Given Options:
A) (11.4, 14.2)
B) (7.6, 8.8)
C) (5.7, 7.5)
D) (10.2, 12.6)
I have added the picture showing the traced map onto a coordinate plane to find exact location of treasure.
The coordinates of Tree are (16,21)
Coordinates of rock are (3,2)
Step-by-step explanation:
Let,
Coordinates of treasure be (a,b)
= distance from tree to treasure
=distance from rock to treasure
Given ratio between rock and tree, = 0.55_______(Equation.1)
which will be used to locate the treasure.
Now we just need to cross check by putting the coordinates given in the options one by one to find out value of ,
and checking if it satisfies the Equation 1.
Check (A) (11.4, 14.2)
= 14.8,
= 8.2,
= 1.8
Check (C) (5.7, 7.5)
= 6.13,
= 16.98,
= 0.36
Check (D) (10.2, 12.6)
= 12.8,
= 10.2,
= 1.25
Check (B) (7.6, 8.8)
= 8.2,
= 14.8,
= 0.55
Which satisfies Equation 1, such that ratio between rock and tree is 5:9 or = 0.55
So, the coordinates of the treasure are (B) (7.6, 8.8)
<u>Given</u>:
Given that the regular decagon has sides that are 8 cm long.
We need to determine the area of the regular decagon.
<u>Area of the regular decagon:</u>
The area of the regular decagon can be determined using the formula,
where s is the length of the side and n is the number of sides.
Substituting s = 8 and n = 10, we get;
Simplifying, we get;
Rounding off to the nearest whole number, we get;
Thus, the area of the regular decagon is 642 cm²
Hence, Option B is the correct answer.