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SOVA2 [1]
3 years ago
13

Help me find the equation for the dimensions of a window, please!

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0
On the sheet, it's not even asking you for the dimensions.
It's just asking you to set up the <em>equation that you would use</em>
to find the dimensions.  That's a great way to do it, because
nobody actually needs the answers, the whole thing is only
meant to help you learn HOW to find them.
==========================================
Call the width of the window 'W' .

We know that the length is 5 feet more than the width, so the length is (W + 5).

The area is (length times width).

Area = (W + 5) times (W).

36 = (W + 5) W

36 = W² + 5W

Subtract 36 from each side:

W² + 5W - 36 = 0

That's choice-4 .


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By remainder theorem:

f(x) = x³ - 2

factor, x - 1 = 0

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f(x) = x³ - 2

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6 0
3 years ago
Two stabilizing wires extend from the top of a pole to the ground, forming right triangles on
FrozenT [24]

Answer: the height of the pole is 16.1 m.

Step-by-step explanation:

The scenario is illustrated in the attached photo.

x represents the height of the pole.

y represents the distance from the foot of one stabilizing wire to the foot of the pole.

30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.

In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent side.

Considering triangle ACD,

Tan 60 = x/y

x = ytan60 = y × 1.732

x = 1.732y- - - - - - - - -1

Considering triangle BCD,

Tan 38 = x/(30 - y)

x = (30 - y)tan38 = 0.781(30 - y)

x = 23.43 - 0.781y- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

1.732y = 23.43 - 0.781y

1.732y + 0.781y = 23.43

2.513y = 23.43

y = 23.43/2.513

y = 9.3

x = 1.732y = 1.732 × 9.3

x = 16.1 m

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3 years ago
Question 6 of 10
jek_recluse [69]

Answer:

c=18

Step-by-step explanation:

5 0
3 years ago
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