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kolbaska11 [484]
3 years ago
14

Find the value of: (ii) [(1/4) -1 + (1/3) -2 - (1/2) -3 ] ÷ 5

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

-71/6

Step-by-step explanation:

[(1/4) -1 + (1/3) -2 - (1/2) -3 ] ÷ 5

[(3/12)-(12/12)+(4/12)-(24/12)-(6/12)-(36/12)] ÷ 5

[-71/12]/5

-71/60

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An Archer shoots an arrow horizontally at 250 feet per second. The bullseye on the target and the arrow are initially at the sam
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Answer:

<h2>1.84feet</h2>

Step-by-step explanation:

Using the formula for finding range in projectile, Since range is the distance covered in the horizontal direction;

Range R = U\sqrt{\frac{H}{g} }

U is the velocity of the arrow

H is the maximum height reached = distance below the bullseye reached by the arrow.

R is the horizontal distance covered i.e the distance of the target from the archer.

g is the acceleration due to gravity.

Given R = 60ft, U = 250ft/s, g = 32ft/s H = ?

On substitution,

60 = 250\sqrt{\frac{H}{32}} \\\frac{60}{250} = \sqrt{\frac{H}{32}}\\\frac{6}{25} = \sqrt{\frac{H}{32}

Squaring both sides we have;

(\frac{6}{25} )^{2} = (\sqrt{\frac{H}{32} } )^{2} \\\frac{36}{625} =  \frac{H}{32} \\625H = 36*32\\H = \frac{36*32}{625} \\H = 1.84feet

The arrow will hit the target 1.84feet below the bullseye.

5 0
3 years ago
Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex
andrezito [222]

Answer:

g(x) = (x -3 )^2 + 2

Step-by-step explanation:

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We want to shift this 5 units to the right

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The vertex is at ( -2, 2)

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
In the diagram below, ZGRS - ZART, GR = 36, SR = 45, AR = 15, and RT = 18. G 36 А 15 R S T 45 18 Which triangle similarity state
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