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lord [1]
3 years ago
6

Pat is six years older than twice his Cousin Zach's age. The sum of their ages is less than 36. What is the greatest age that Za

ch could be? Will mark brainliest. 15 points!
Mathematics
1 answer:
mr_godi [17]3 years ago
6 0
Pat = p, Zach = z
p = 6 + 2z... 2z = p - 6... z = (p-6)/2
p + z < 36
(6 + 2z) + z < 36
3z + 6 < 36
2z < 30
z < 15
So the greatest age for z Zach that is less than 15 is 14!
14 years old
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Step-by-step explanation:---------------

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Linda shoots an arrow at a target in an archery competition. The arc of the arrow can be modeled by the equation y= -0.02x to th
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Answer:

37.8metres

Step-by-step explanation:

The arc of the arrow can be modeled by the equation:

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Where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow.

The arrow hits the ground when its height (y) is zero.

Therefore, we determine the value(s) of x for which:

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Since the distance cannot be a negative value, we ignore -5.29.

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Read 2 more answers
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iren2701 [21]
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IgorLugansk [536]
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One of the diagonals of a rhombus of perimeter 120m is 36m. Find its area and the length of the other diagonal. pls answer fastt
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Answer: 864\ m^2,\ 24\ m

Step-by-step explanation:

Given

Perimeter of the rhombus is 120\ m

Length of one of the diagonal is d_1=36\ m

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Area of the rhombus with side and one diagonal is

\Rightarrow \text{Area=}\dfrac{1}{2}d\sqrt{4a^2-d^2}

Insert the values

\Rightarrow \text{Area=}\dfrac{1}{2}\times 36\times \sqrt{4\cdot 30^2-36^2}\\\\\Rightarrow \text{Area= }18\sqrt{3600-1296}\\\Rightarrow \text{Area= }18\times 48\\\Rightarrow \text{Area= }864\ m^2

Area with two diagonals length can be given by

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Thus, the area of the rhombus is 864\ m^2 and the length of the other diagonal is 24\ m

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