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2 years ago

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Two trees are next to each other in a clearing. The first tree is 13 feet tall and casts an 8-foot shadow. The second tree casts

a 33-foot shadow. How tall is the second tree to the nearest tenth of afoot?

1 answer:

SVEN [57.7K]2 years ago

3 0

The second tree is 59.5 feet
tall. Given Two trees are growing
in a clearing. The first tree

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Help me classify the triangles by its sides and measuring its angles :)

barxatty [35]

Answer:

Triangle 1 : isosceles triangle

Triangle 2 : Right Triangle

Step-by-step explanation:

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2 years ago

Question 7 of 10<br> Choose two statements that are true for this expression.<br> 6r³ − 8x² - 40 +21

crimeas [40]

Based on the given parameters, bhe true statements are: the expression has four terms, and the term -40/y is a ratio.

<h3>How to determine the true statements?</h3>

The expression is given as:

6x^3 - 8x^2 - 40/y + 21

The above expression has four terms, and the terms are:

6x^3, - 8x^2,- 40/y and 21

Also, the term -40/y is a ratio

This is so because it is a quotient of two numbers

Hence, the true statements are: the expression has four terms, and the term -40/y is a ratio, based on the given parameters

Read more about polynomials at:

brainly.com/question/2833285

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1 year ago

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

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3 years ago

Sin (x/2)= √2- sin (x/2) solve for the exact solutions in the interval (0, 2π)

serg [7]

$sin\left( \frac{x}{2} \right)=\sqrt{2}-sin\left( \frac{x}{2} \right)\implies sin\left( \frac{x}{2} \right)+sin\left( \frac{x}{2} \right)=\sqrt{2}\implies 2sin\left( \frac{x}{2} \right)=\sqrt{2} \\\\\\ sin\left( \cfrac{x}{2} \right)=\cfrac{\sqrt{2}}{2}\implies sin^{-1}\left[ sin\left( \cfrac{x}{2} \right) \right]=sin^{-1}\left( \cfrac{\sqrt{2}}{2} \right) \implies \cfrac{x}{2}= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4} \end{cases} \\\\[-0.35em] ~\dotfill$

$\cfrac{x}{2}=\cfrac{\pi }{4}\implies \boxed{x=\cfrac{\pi }{2}}~\hfill \cfrac{x}{2}=\cfrac{3\pi }{4}\implies \boxed{x=\cfrac{3\pi }{2}}$

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2 years ago

PLZZZ HELP WILL GIVE BRAINN

Hatshy [7]

Answer:

Whole numbers: 56

Rational numbers: 1/3

Integer: -5

Irrational numbers: 1.17513698

Natural numbers: 0

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3 years ago