Answer:
The length of the rectangular playing field is 84 yards and the width is 44 yards
Step-by-step explanation:
Let
x ------> the length of the rectangular playing field
y -----> the width of the rectangular playing field
we know that
The perimeter of the rectangular playing field is equal to
so
------> equation A
we have that
-----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y
Find the value of x
therefore
The length of the rectangular playing field is 84 yards and the width is 44 yards
<span>100 = 0.046s^2 - 0.199s + 0.264
0 = 0.046s^2 - 0.199s - 99.736
s= 48.77691127... or -44.45082431 (reject)
The car's speed was approximately 48.8 mph.</span>
The 3 sides should obey the Pythagorean Theorem
29^2 = 21^2 + 18^2
29^2 does not equal 441 + 324 = 765
29^2 = 841
Answer: D. 60100
Step-by-step explanation:
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
From the information given,
n = 200 terms
a = 2
d = 3
Therefore, the sum of the first 200 terms, S200 would be
S200 = 200/2[2 × 2 + (200 - 1)3]
S200 = 100[4 + 597)
S200 = 100 × 601 = 60100
