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3 years ago

5

Could someone help me solve this

2 answers:

faltersainse [42]3 years ago

7 0

Answer:

x = 8.3.

Step-by-step explanation:

According to solve for the length of x, we need to use SOH CAH TOA.

This means...

Sine: Opposite over Hypotenuse

Cosine: Adjacent over Hypotenuse

Tangent: Opposite over Adjacent

In this case, we are given the angle, the hypotenuse, and we need to solve for the adjacent. This means that we will use cosine, since we have the adjacent and the hypotenuse.

cosine(41) = x / 11

x = (cosine(41)) * 11

x = 0.7547095802 * 11

x = 8.301805382

The question asks us to round to the nearest <em>tenth</em>.

So, your final answer is that x = 8.3.

Hope this helps!

sweet-ann [11.9K]3 years ago

4 0

Answer:

<h2>X=8.3</h2>

solution,

AC=11

BC=X

By trigonometry,

We know that

$cos \: theta = \frac{base}{hypotenuse} = \frac{bc}{ac} \\ \: \: \: \: \: \: \: \: \: cos \: 41 = \frac{x}{11} \\ \: \: \: \: \: x = 11 \: cos \: 41 \\ \: \: \: \: \: x = 11 \times 0.754 \\ \: \: \: \: x = 8.3$

Hope this helps...

Good luck on your assignment...

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when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s

Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

$t \propto y^{1/2}$

$t = k\cdot t^{1/2}$

Where:

$t$ - Time spent by the stone, measured in seconds.

$y$ - Height change experimented by the stone, measured in meters.

$k$ - Proportionality constant, measured in $\frac{s}{m^{1/2}}$ .

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

$k = \frac{t}{y^{1/2}}$

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$k = \frac{4\,s}{(78.4\,m)^{1/2}}$

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3 years ago

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3 years ago

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rusak2 [61]

Answer:

K' (-1,10)

L'(0,4)

M'(2,2)

Step-by-step explanation:

To use the mapping rule, substitute x and y with the original values

The coordinates of K are x=-4, and y=5.

Using the mapping rule, x of K' = -4+3 = -1

Using the mapping rule y of K' = 2x5=10

So K' is at the coordinate (-1,10)

The coordinates of L are x =-3, and y =2.

Using the mapping rule, x of L' = -3+3=0

Using the mapping rule y of L' = 2x2=4

So L' is at the coordinate (0,4)

The coorindates of M are x=-1 and y=1

Using the mapping rule, x of M' = -1+3=2

Using the mapping rule, y of M' = 2x1 = 2

So M' is at the coordinate (2,2).

8 0

3 years ago