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Sliva [168]
2 years ago
11

PLEASE GUYS HELP ME I NEED THIS FOR A TEST NOW

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
4 0

Answer:

23.54 m

Step-by-step explanation:

Applying

cos∅ = adjacent(A)/hypotenuse(H)

cos∅ = A/H................ Equation 1

make H the subject of the equation

H = A/cos∅............ Equation 2

Given: A = 15 m, ∅ = 25°

Substitute into equation 2

H = 15/cos25

H = 16.55 m

Also,

tan∅ = opposite(O)/Adjacent(A)

tan∅ = O/A............Equation 3

Make O the subject of the equation

O = Atan∅.......... Equation 4

Substituting into equation 4

O = 15(tan25°)

O = 6.99 m.

From the diagram,

The height of the goal post before snap = H+O

The height of the goal post before snap = 16.55+6.99

The height of the goal post before snap = 23.54 m

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Step-by-step explanation:

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3 years ago
The Product of 2 rational numbers with different signs is a _________ number
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Answer:

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Step-by-step explanation:

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What is the solution to the system of equations?
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Answer:

<h2>(-10, 2, 6)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}

\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}

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4 0
3 years ago
What are the solutions of 4x+8<img src="https://tex.z-dn.net/?f=%5Cleq%20%5C%5C" id="TexFormula1" title="\leq \\" alt="\leq \\"
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Answer: x≤−7

Step-by-step explanation:

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4 0
2 years ago
The two toy store owners agree to specialize and to trade 30 puzzles for 10 puppets. The terms of trade are still 3 puzzles for
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Based on the exchange rate, at the end of the trade, Lewis will have 31 puppets and 2 puzzles left over while Geppeto will have 158 puzzles and 4 puppets left over.

<h3>What is the exchange rate of puzzles for puppets?</h3>

The exchange rate of puzzles for puppets is 3 to 1.

Geppeto has 20 puppets to exchange for puzzles.

Lewis has 50 puzzles to exchange for puppets.

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Therefore;

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in conclusion, the exchange rate determines the how many puzzles and puppets will each one have after they complete their trade.

Learn more about exchange rate at: brainly.com/question/2202418

#SPJ1

7 0
2 years ago
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