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3 years ago

Complete the table to investigate dilations of

Mathematics

1 answer:

const2013 [10]3 years ago

7 0

Complete the table to investigate dilations of
exponential functions.
x
2x
3.2x
23.
1
-2
6
+
2 음
3 을
3
4
3
2
64
1
8
1
2
-1
0
a
b
C
1
1
d
e
f
2
4
12
64
а:
11
b =
C
ejcbbcndnehopenit helps can dns

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21.6

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Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

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3 years ago

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Mariana [72]

All of them have the same answer of -8 except the last one.

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3 years ago

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iogann1982 [59]

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Step-by-step explanation:

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3 years ago

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lakkis [162]

If g is the gallons of gas, and the truck holds up to 20 gallons, then g can be anything from 0 to 20.

If there is zero gallons of gas (g = 0) then the truck will travel zero miles because M(0) = 17(0) = 0.

The max miles depends on the max gallons of gas, so the miles possible with 20 gallons is M(20) = 17(20) = 340.

So, g ranges from 0 to 20 and M(g) ranges from 0 to 340.
Therefore your answer is the last option.

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3 years ago