Answer: They will travel about 131.18 yards.
Step-by-step explanation:
Given : A football field is 120 yards long by 53 yards wide.
We know that a football field is rectangular in shape.
Each interior angle in a rectangle is a right angle.
Then, by Pythagoras theorem, we have
(Diagonal)² = (Length)² + (Width)²
If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-
Hence, they will travel about 131.18 yards.
Answer:
c is the answer
Step-by-step explanation:
hope it is correct tho
Answer:
c. 35.34015106
Step-by-step explanation:
As with many problems of this nature, you only need to get close to be able to choose the correct answer. 22 minutes 45 seconds is just slightly less than 1/2 degree (30 minutes), so the tangent value will be just slightly less than tan(88.5°) ≈ 38. The appropriate choice is 35.34015106.
If you need confirmation, you can find tan(88°) ≈ 29, so you know the answer will be between 29 and 38.
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The above has to do with strategies for choosing answers on multiple-choice problems. Below, we will work the problem.
The angle is (in degrees) ...
88 + 22/60 +45/3600 = 88 + (22·60 +45)/3600 = 88 +1365/3600
≈ 88.3791666... (repeating) . . . . degrees
A calculator tells you the tangent of that is ...
tan(88.3791666...°) ≈ 35.3401510614
Many calculators will round that to 10 digits, as in the answer above. Others can give a value correct to 32 digits. Spreadsheet values will often be correct to 15 or 16 digits.
<span> Honor roll Not on honor roll Total
Received math class requested 315 64 379
Did not get math class requested 41 80 121
Total 356 144 500
Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%
Honor roll students were given preference in granting request than those not in the honor roll.</span>
Answer:
<h3>AC=96 units.</h3>
Step-by-step explanation:
We are given a parallelogram ABCD with diagonals AC and BD intersect at point E.
, and CE=6x .
<em>Note: The diagonals of a parallelogram intersects at mid-point.</em>
Therefore, AE = EC.
Plugging expressions for AE and EC, we get
Subtracting 6x from both sides, we get
Factoriong quadratic by product sum rule.
We need to find the factors of -16 that add upto -6.
-16 has factors -8 and +2 that add upto -6.
Therefore, factor of quadratic is (x-8)(x+2)=0
Setting each factor equal to 0 and solve for x.
x-8=0 => x=8
x+2=0 => x=-2.
We can't take x=-2 as it's a negative number.
Therefore, plugging x=8 in EC =6x, we get
EC = 6(8) = 48.
<h3>AC = AE + EC = 48+48 =96 units.</h3>
