Given :
A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame.
To Find :
The length of the frame.
Solution :
We know, perimeter of the rectangle is given by :
Now, it is given that 18 feet of wood is used.
So,
Therefore, length of frame is given by 3x = 6.75 feet.
Hence, this is the required solution.
Find slope: (y2-y1)/(x2-x1)
(-7-1)/(0-2) = -8/-2 = 4
Slope int form: y = mx + b
Y = 4x + b
Plug in a point
1 = 4(2) + b, b = -7
Equation: y = 4x - 7
The geometric sequence is found in the relationship between consecutive terms that is constant.
In this problem, as I understand it, none of the functions forms a geometric sequence.
The functions that form a geometric sequence have the form
f (x) = h (a) ^ n where "a" is the constant relation between the successive terms.
If you wrote the function "f (x) = - 2 (3/4) x", you wanted to write instead:
f (x) = - 2 (3/4) ^ x
So that would be the function that forms a geometric sequence, where the relation between the consecutive terms is 3/4.
You can test it by dividing f (x) / f (x-1)
Then you will see that the result of that division will be 3/4.
Let's replace the first, second, third, and home with letters.
first base = F
second base = S
Third base = T
home base = H
We have two triangles, ΔHTS and ΔHFS
We know HS = HS because it's a shared side.
We know FS = TS
We know that ∠HST and ∠HSF are equal.
Because of SAS, the two triangles are congruent.
According to CPCTC, TH must be congruent to FH.
Thus, the distance from home plate to third base and the distance from home plate to first base must be the same.
Have an awesome day! :)
Answer:
The value of the length of the side C is 11.49.
Step-by-step explanation:
Cosine formula is applicable.
c² = a² + b² -2abcos(C)
substitute the values:
c² = (5)² + (12)² -2(5)(12)cos(72)
= 25 + 144 - 2 (60) (0.309)
= 169 - 37.08
c² = 131.92
square root both sides:
c = sqrt(131.92)
C = 11.49
