3 years ago

Please help! I need this quickly!

Mathematics

2 answers:

s2008m [1.1K]3 years ago

7 0

The correct answer is A) adults tickets: 19

Lera25 [3.4K]3 years ago

6 0

The correct answer is D because if you multiply the adults times the amount for all then do the same for children, on D you will get 166

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Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.

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Answer:

$Area =55.4ft^2$

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

$\tan(60) = \frac{4\sqrt 3}{x}$

Solve for x

$x = \frac{4\sqrt 3}{\tan(60)}$

$\tan(60) = \sqrt 3$

So:

$x = \frac{4\sqrt 3}{\sqrt 3}$

$x = 4$

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

$Base = 4\sqrt 3$

$Height = 4$

So, the area of the rhombus is 4 times the area of 1 triangle

$Area = 4 * \frac{1}{2} * Base * Height$

$Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4$

$Area =2 * 4\sqrt 3 * 4$

$Area =55.4ft^2$

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