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ElenaW [278]
3 years ago
6

Lee is creating a garden with the dimensions shown.

Mathematics
2 answers:
den301095 [7]3 years ago
8 0

Answer:

AB= 12.94ft, 108deg

ZY= 6.76ft 50deg

XY 3.05ft, 22deg

Pathway adds up to 22.95ft

Step-by-step explanation:

AB is base

Sides 8 feet each = isosceles. =8ft, 8ft, 12.94ft

Top angle is 36 degree = 36°.36°,108°

ZY is base

Sides 8 feet each = isosceles = 8ft, 8ft, 6.76ft

Top angle is 65° = 65° 65° 50 °

XY is base

Sides 8 feet each =isosceles =8ft, 8ft, 3.05ft

Top angle is 79° degree = 79°,79 °,22 °

Pathway means triangles in a row side by side = Product of 3 values = ? feet

12.94 +6.76 + 3.05 =22.95ft pathway

ycow [4]3 years ago
5 0

Answer:

The correct answer would be A.

Step-by-step explanation:

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If f'(0) = 5 and F(x) = f(3x), what is F'(0)?
Llana [10]

Answer:

\displaystyle F'(0) = 15

Step-by-step explanation:

We are given that:

f'(0) = 5 \text{ and } F(x) = f(3x)

And we want to find F'(0).

First, find F(x):

\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]

From the chain rule:

\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}

Then:

\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}

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7 0
3 years ago
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Step-by-step explanation:

Given that a fair coin is flipped twelve times.

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We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

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Plug in n = 12 and r = 9

       =\frac{12!}{9!\left(12-9\right)!}

       =\frac{12!}{9!\cdot \:3!}

       =\frac{12\cdot \:11\cdot \:10}{3!}            ∵ \frac{12!}{9!}=12\cdot \:11\cdot \:10

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Thus, the probability will be:

P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}

         =\frac{220}{4096}

         =\frac{55}{1024}

Thus, the probability of the coin landing tails up exactly nine times will be:

P\left(E\right)=\frac{55}{1024}

4 0
3 years ago
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