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3 years ago

Which expression represent the approximate length of BC HEEEEELLLLPPP!!!

Mathematics

1 answer:

Bumek [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Using the Sine rule in Δ ABC

$\frac{sinA}{BC}$ = $\frac{sin38}{AB}$ , substitute values

$\frac{sin66}{BC}$ = $\frac{sin38}{3}$ ( cross- multiply )

BC sin38° = 3 sin66° ( divide both sides by sin38° )

BC = $\frac{3sin66}{sin38}$ → A

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Which function describes this graph? (CHECK PHOTO FOR GRAPH)

romanna [79]

Answer:

Option A. y = x² + 7x + 10

Step-by-step explanation:

We'll begin calculating the roots of the equation from the graph.

The roots of the equation on the graph is where the curve passes through the x-axis.

The curve passes through the x-axis at –5 and –2

Next, we shall determine the equation. This can be obtained as follow:

x = –5 or x = –2

x + 5 = 0 or x + 2 = 0

(x + 5)(x + 2) = 0

Expand

x(x + 2) + 5(x + 2) = 0

x² + 2x + 5x + 10 = 0

x² + 7x + 10 = 0

y = x² + 7x + 10

Thus, the function that describes the graph is y = x² + 7x + 10

6 0

3 years ago

For which acute angle are the sine of the angle and cosine of the angle equal? 30º 45º 60º 75º

Damm [24]

Hello

sin ..... | 0° |30°|45°|60°|90°|
...........| 0...| 1..| 2..| 3..| 4..| write numbers
...........| 0...| 1..|√2.| √3 | 2..| take root square
...........| 0...|1/2|√2/2|√3/2|1| divide by 2
...........| 0...|1/2|√2/2|√3/2|1| .....
cos.....| 90°|60°|45°|30°| 0°|

sin (75°)
=sin(30°+45°)=sin 30°*cos 45° +cos 30°*sin 45°
.................... =1/2*√2/2 + √3/2*√2/2
.................... = √2(1+√3)/4

cos 75°
=cos(30°+45°)=cos 30°*cos 45°-sin 30°*cos 45°
=√3/2*√2/2-1/2*√2/2
=√6/4-√2/4=√2/4*(√3 -1 )

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28x%20%2B%20k%29%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%201x%20%2B%20%20

ozzi

If we take the equation and multiply out the left side, we get....

$x^{2}$ + 2xk + $k^{2}$ = $x^{2}$ + x + $k^{2}$

The x^2 and k^2 cancel out on both sides leaving us with this...

2kx = x

If we divide both sides by 2x to isolate k, k ends up = 1/2

4 0

3 years ago

The height of a cylinder is twice the radius of its base.

Ber [7]

Let x represent radius of circle.

We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be $2x$ .