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3 years ago

Find x please help thank you

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

8 0

Answer: x=(7√6)/2

Step-by-step explanation:

To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.

For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.

Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.

The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.

7√3=x√2 [divide both sides by √2]

x=(7√6)/2

Now, we know x=(7√6)/2.

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3 years ago

if the sin of angle x is 4/5 and the triangle was dilated to be two times as big as the orginal, what would be the value of the

Kobotan [32]

Answer:

There will be no change. It will still be 4/5

Step-by-step explanation:

When one performs a dilation of a triangle, all sides get affected. In this case, since the dilation is by a factor of two, the sides will double their lengths.

But recall that dilations will create similar triangles, which means that their angles at the vertices remain the same.

The trig functions of angles depend only on the actual angle they are applied to, so, since the angles remain the same, the sine value will stay the same: "4/5".

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Consumers are spending more on music from digital sources than they do on CDs. Purchases of streamed music from services such as

hodyreva [135]

Answer:

(a) (i) 3.7 billion

(ii) $ 4.6 billion

(b) $ 0.3 billion/year

Step-by-step explanation:

Given equation that shows the amount( in billions of dollar ) spent by consumers on streamed music after t years since 2012,

f(t) = 3.7 + 0.84 ln(t + 1) ,

(a)

(i) for 2012, t = 0,

So, the amount spent by consumers on streamed music in 2012,

f(0) = 3.7 + 0.84 ln (1)

= 3.7 + 0.84(0)

= $ 3.7 billion

(ii) for 2014, t = 2 years,

So, the amount spent by consumers on streamed music in 2014,

f(0) = 3.7 + 0.84 ln (1+2)

= 3.7 + 0.84 ln(3)

= 3.7 + 0.9228

= 4.6228 billion

≈ $ 4.6 billion

(b) ∵ f(t) = 3.7 + 0.84 ln(t + 1),

Differentiating with respect to t,

$f'(t) = 0.84 \frac{1}{t+1}$

For t = 2 years,

$f'(2) = 0.84 \frac{1}{2+1}=\frac{0.84}{3}=0.28\approx 0.3$

Hence, the amount spent by consumers on streamed music is growing with the rate of $ 0.3 billion/year in 2014

6 0

3 years ago