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3 years ago

Find g. Write your answer as an integer or as a decimal rounded to the nearest tenth.

Mathematics

1 answer:

Soloha48 [4]3 years ago

6 0

Step-by-step explanation:

$\frac{EG}{ \sin(/EFG) } = \frac{EF}{ \sin(/EFG) } \\ \frac{7}{ \sin(36°) } = \frac{g}{ \sin(121°) } \\ g = 10.208$

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BRAINLIEST ASAP! PLEASE HELP ME :)

Nitella [24]

The answer is [ ∠A ≅ ∠A; A F/AB = AG/AC = 3 ]

Both triangles are the same just different sizes.

The length of A F is 9 units. The length of AB is 3 units.

To find the scale factor, just divide.

9 / 3 = 3

The length of AG is 6 units. The length of AC is 2 units.

To find the scale factor, just divide.

6 / 2 = 3

The only logical answer is B because the ratio's are written to where when you solve them, you get the scale factor 3.

Best of Luck!

6 0

3 years ago

If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?

Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

$g(x)=4x^2-16$

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

$Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:$

$\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)$

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it $h(x)$ ) will be:

$h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17$

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

$(0,-16)$

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

$New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)$

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0

3 years ago

How to find the area of the shaded region

Andreas93 [3]

Y=2x^(1/2)

A=2⌠x^(1/2) dx

A=2[ (2/3)x^(3/2) ]

A=(4/3)[ x^(3/2) ] x=[1,4]

A=(4/3)(8-1)

A=(4/3)7

A=28/3 u^2

A=9 1/3 u^2

7 0

3 years ago

A restaurant wishes to have at least one server for every 12 tables. Each of the tables in the restaurant seats four guests. If

Fiesta28 [93]

X = number of servers
y = number of guests

$\text {number of guest per table = } 4$ <span>

</span> $\text {number of tables = } \dfrac{y}{4}$
<span>
</span> $\text {number of servers needed = } \dfrac{y}{4} \div 12$ <span>

</span> $\text {number of servers needed = } \dfrac{y}{4} \times \dfrac{1}{12}$

$\text {number of servers needed = } \dfrac{y}{48}$

There must be at least 1 server for every 12 tables:
$x \geq \dfrac{y}{48}$

8 0

3 years ago

Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) − 5. Which statement describe

crimeas [40]

The graph of h(x) is the graph of g vertically shifted down 5 units. Then the correct option is C.

<h3>What is a function?</h3>

Functions are found all across mathematics and are required for the creation of complex relationships.

The function g(x) = x² is transformed to obtain function h:

h(x) = g(x) − 5

h(x) = x² − 5

The graph h(x) get shifted downward by 5 units.

Then the correct option is C.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

6 0

2 years ago