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3 years ago

Using the paths shown, the distance from Brookfield to Seaside is 20.4 kilometers.

Mathematics

1 answer:

stepan [7]3 years ago

7 0

Answer:

7.2 km

Step-by-step explanation:

Distance between Brookfield to Seaside = 20.4 km

Distance between Yardley and Seaside = 13.2 km

Let distance between Brookfield to Yardley be x.

Thus:

x + 13.2 km = 20.4 km

Subtract 13.2 from each side

x = 20.4 - 13.2

x = 7.2

Distance from Brookfield to Yardley is 7.2 km

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borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

$tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft$

Second triangle:

$tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft$

Now, the total height of the statue will be:

$TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft$

Have a nice day!

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3 years ago

A catering company has small tables and large tables. Small tables seat 4 people and large tables seat 6 people. You are plannin

lutik1710 [3]

Answer:

idk

Step-by-step explanation:

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3 years ago

A jetski rental company charges a $50 deposit, plus $25 per hour to rent a jetski. This can be represented by the formula T = 25

loris [4]

Answer:

None, the answer will be the same

Step-by-step explanation:

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3 years ago

20. The surface areas of two similar solids are 216 m² and 1014 m². The volume of the larger one is 2197 m³. What is the volume

Andrei [34K]

Answer:

216 m³

Step-by-step explanation:

The ratio of linear dimensions is the square root of the ratio of area dimensions.

s = √(216/1014) = √(36/169) = 6/13

Then the ratio of volume dimensions is the cube of that. The smaller volume is ...

v = (6/13)³·2197 m³ = 216/2197·2197 m³ = 216 m³

The volume of the smaller solid is 216 m³.

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3 years ago

What is the expression for the area of the old garden if the perimeter is 6w+8, where W represents the width?

musickatia [10]

Answer:

w(2w+4)

Step-by-step explanation:

we know A = l * w

and Perimeter = 2l + 2w

we want to find l in terms of w

2l + 2w = 6w + 8

2l = 4w + 8

l = 2w + 4

so A = w * (2w + 4)

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3 years ago