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3 years ago

9

Addison made a scale drawing of a city. A neighborhood park is 18 inches wide in the drawing. The actual park is 72 yards wide.

What scale did Addison use?

1 answer:

Korvikt [17]3 years ago

5 0

Answer:

Yeah its 0.25 as I think :)

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Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>

Sveta_85 [38]

Trigonometric Formula's:

$\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}$

$\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }$

Given to verify the following:

$\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )$

$\texttt{\underline{apply distributive method}:}$

$\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)$

$\texttt{\underline{simplify the following}:}$

$\rightarrow \sf 2cos^2 a + sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf 2(1 - sin^2a ) + sin^2 a$

$\texttt{\underline{distribute inside the parenthesis}:}$

$\rightarrow \sf 2 - 2sin^2a + sin^2 a$

$\texttt{\underline{simplify the following}} :$

$\rightarrow \sf 2 - sin^2a$

Hence, verified the trigonometric identity.

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2 years ago

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The distribution of reading scale scores in the 4th grade at Truman Elementary School was approximately normal with mean = 221 a

liraira [26]

Answer:

221

Step-by-step explanation:

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3 years ago

A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the

LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

$\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}$

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

$\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64$

Hence, the lighthouse is 34.64 m tall.

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3 years ago

A square plot of land has six fence posts on each side. How many posts are there around the plot of land?

Delicious77 [7]

It is 24. 6 x 4= 24.

Hoped this helped.

~Bob Ross®

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3 years ago

There are x candies in a bag. 4/9 of all the candies are chocolates. How many candies which are not chocolates are in the bag? (

Dmitriy789 [7]

20

4/9 of 36 is 16 so that leaves 20 that aren’t chocolate

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3 years ago