All categories

3 years ago

Can somebody help me, please?

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

4 0

Answer: x = 9.6

=========================================================

Explanation:

We have two smaller right triangles that are glued together so to speak.

The base of the smaller triangle on the left is 5 while the height is h.

Let's use the tangent rule to find the value of h

tan(angle) = opposite/adjacent

tan(55) = h/5

5*tan(55) = h

h = 5*tan(55)

h = 7.14074003371058

Make sure your calculator is in degree mode. That value of h above is approximate.

--------------------------

Now focus on the smaller triangle on the right

It has the same height value h. This side is the adjacent side while x is the hypotenuse.

We'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(42) = h/x

cos(42) = 7.14074003371058/x

x*cos(42) = 7.14074003371058

x = 7.14074003371058/cos(42)

x = 9.6088135029715

x = 9.6

You might be interested in

Harley’s house has a value of £160 000 correct to 2 significant figures.

Advocard [28]

Answer:

This is the answer hope you have a nice day

5 0

2 years ago

Plsssss help me with this angle circle problem what is x

kirza4 [7]

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

4 0

3 years ago

Read 2 more answers

Which graph represents the solution to this inequality? -1/4(12x+8)<2x+11

bekas [8.4K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If ABCD is dilated by a factor of 2 the coordinate of b would be? Will mark barinlyist.

ch4aika [34]

Answer:

B'(- 2, 2 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is

B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )

8 0

3 years ago

Sin(4x) in the term of just x<br> Please help!!

Nina [5.8K]

I think you mean in terms of $\sin(x)$ ?

Recall Euler's identity

$e^{ix} = \cos(x) + i \sin(x)$

and de Moivre's theorem

$\left(e^{ix}\right)^n = \left(\cos(x) + i \sin(x)\right)^n = \cos(nx) + i \sin(nx) = e^{inx}$

where $i=\sqrt{-1}$ .

It follows that

$\sin(4x) = \mathrm{Im}\left(\cos(x) + i \sin(x)\right)^4$

By the binomial theorem, expanding the right side gives

$\cos^4(x) + 4i \cos^3(x) \sin(x) - 6\cos^2(x) \sin^2(x) - 4i \cos(x) \sin^3(x) + \sin^4(x)$

and so

$\sin(4x) = 4\cos^3(x) \sin(x) - 4 \cos(x) \sin^3(x)$

We can factorize this as

$\sin(4x) = 4 \cos(x) \sin(x) \left(\cos^2(x) - \sin^2(x)\right)$

and using the Pythagorean identity

$\cos^2(x)+\sin^2(x) = 1 \implies \cos(x) = \pm \sqrt{1-\sin^2(x)}$

this reduces to

$\sin(4x) = \pm 4 \sqrt{1-\sin^2(x)} \sin(x) (1 - 2 \sin^2(x))$

8 0

2 years ago