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3 years ago

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 71 feet. Find the length of EF to the nearest tenth of a foot.

Mathematics

2 answers:

o-na [289]3 years ago

4 0

Answer:

71.4

Step-by-step explanation:

cos 6 = 71 / x = 71.4

djyliett [7]3 years ago

3 0

Answer:68.2

Step-by-step explanation:

cos6=71/EF

cos6= 0.960170286650366

0.960170286650366= 71/EF

0.960170286650366*71=EF

EF= 68.2

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uranmaximum [27]

Answer:

Step-by-step explanation:

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3 years ago

X<br> f(x) = 2x-1 -2 <br><br> Please help

Kobotan [32]

By evaluating the linear equation, we can complete the table:

x: -2 | -1 | 0 | 1 | 2 |

y: -3 | -1 | 1 | 3 | 5 |

<h3>How to complete the given table?</h3>

Here we want to complete the table:

x: -2 | -1 | 0 | 1 | 2 |

y: | | | | |

To get the correspondent values in the "y" row, you just need to evaluate the linear function in the given values of x.

Here the function is:

f(x) = 2x - 1

Evaluating it we get:

f(-2) = 2*(-2) + 1 = -3

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f(0) = 2*0 + 1 = 1

f(1) = 2*1 + 1 = 3

f(2) = 2*2 + 1 = 5

Now we just put these values in their correspondent place on the table.

x: -2 | -1 | 0 | 1 | 2 |

y: -3 | -1 | 1 | 3 | 5 |

If you want to learn more about linear functions:

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8 0

2 years ago

How can you know if statement is true? <br> 1/2+3/8=4/10=2/5

mixas84 [53]

Answer:

Actually that's incorrect

Step-by-step explanation:

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3 years ago

Renee has 1/4 yard of floral fabric. She cuts it into 5 equal pieces. How long is each new piece of fabric?

Zinaida [17]

Answer:

$\dfrac{1}{20}\ \text{yards}$

Step-by-step explanation:

Given that,

Renee has 1/4 yard of floral fabric.

She cuts it into 5 equal pieces.

We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

$l=\dfrac{\dfrac{1}{4}}{5}\\\\=\dfrac{1}{4}\times \dfrac{1}{5}\\\\=\dfrac{1}{20}\ \text{yards}$

So, each new piece pf fabric is $\dfrac{1}{20}\ \text{yards}$ .

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3 years ago

Find the f^-1(x) and it’s domain

borishaifa [10]

Answer:

$f^{-1}(x) = (x + 8)^2$

$x \ge -8$

Step-by-step explanation:

Given

$f(x) = \sqrt x - 8$

Solving (a): $f^{-1}(x)$

We have:

$f(x) = \sqrt x - 8$

Express f(x) as y

$y = \sqrt x - 8$

Swap x and y

$x = \sqrt y - 8$

Add 8 to $both\ sides$

$x + 8 = \sqrt y - 8 + 8$

$x + 8 = \sqrt y$

Square both sides

$(x + 8)^2 = y$

Rewrite as:

$y = (x + 8)^2$

Express y as: $f^{-1}(x)$

$f^{-1}(x) = (x + 8)^2$

To determine the domain, we have:

The original function is $f(x) = \sqrt x - 8$

The range of this is: $f(x) \ge -8$

The $domain$ of the $inverse$ function is the $range$ of the $original$ function.

<em>Hence, the domain is:</em>

$x \ge -8$

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3 years ago