MaxWong

1. Dialating the triangle by a scale factor of 5 makes the base 5 times as long as before and the height 5 times as long as before. Therefore answer is 5 x 5 = 25. The coordinates are just useless. XD

2. SAS Theorem

3. You have the base length and the height of the pyramid and more actually XD, But you just need to use the base length and height.

Volume = \(\dfrac{1}{3}(\text{base length})^2\times \text{height}\)= \(\dfrac{1}{3}\cdot 16^2 \cdot 15\) = 1280 cubic ft

\(\dfrac{2}{3}x + 8 = 20\\ \dfrac{2}{3}x + 8 - 8 = 20 - 8\\ \dfrac{2}{3}x = 12\\ \dfrac{2}{3}x \times \dfrac{3}{2}=12\times\dfrac{3}{2}\\ x = 18\)

\(y = -3x - 6\\ -y = 3x + 6\\ 3x - y = 8\\ 3x + (3x + 6) = 8\\ 6x + 6 = 8\\ x +1 = \dfrac{4}{3}\\ x = \dfrac{1}{3}\\ y = -3(\dfrac{1}{3})-6 = -7\\ \therefore x = \dfrac{1}{3};y=-7\)

This is enough, if you did this for homework. Anyways I will provide more.

Cooker

remote control

Switches(I think switches counts as an electronic, it is a part of electronic though)

Doorbell

LED screens(lots of them in Hong Kong that makes you can't sleep well everyday. Crazy)

Power? Energy? IDK.

My opinion.

 There is a creature with higher intelligence controlling us.(Maybe not god, Studies have shown that God is only slightly possible but here we call it god first. Read P.S.) God knows when you die, how you die, so if you suicide, God knows because he planned all human's life. Even if you are lucky that you did not die from attempt to suicide, God still knows because he already planned it. So, commit suicide isn't immoral, he knows.

 To respond the question "Why is it our responsibilty to continue the human race?", I think that there is a kind of mysterious power to make us want to continue the human race while not knowing why. 

 "Are we being forced to live?" I think not. God has planned everything(Not god again, read P.S.) and he knows if you do not want to live and he will control you to suicide.

I think this opinion is so negative...... but I really think so.

P.S. Studies have shown that the probability of "We are just a kind of simulator" is about 100,000 times higher than the probability of "We are created by god".

Another P.S. I am 14, and I have been thinking about these kind of "philosophical" questions since last year

~The smartest cookie in the world.

Answer:

Multiply them together:

\(1/7 \times 21\\ = 3\)

Area = 1/2 * 9.2 * 11.9 * sin(27 dg) = 24.85 ft

1 is not a question......

2. Call the point Marco stands on "M", Garret stands on "G" and Dino stands on "D".

Apply the law of sines:

17 sin angle MDG = 15 sin angle MGD

because \(\angle MDG +\angle MGD = (180 - 81)^{\circ}=99^{\circ}\)

\(17\sin(99^{\circ}-\angle MGD)=15\sin \angle MGD \\17(\sin99^{\circ}\cos \angle MGD-\cos 99^{\circ}\sin\angle MGD)=15\sin \angle MGD\\ 17\sin 99^{\circ} \cot \angle MGD - 17\cos 99^{\circ} = 15\\ \cot \angle MGD = \dfrac{15 + 17\cos 99^{\circ}}{17\sin 99^{\circ}}\\ \angle MGD \approx 53.69^{\circ}\\ \therefore \angle MDG = (99 - 53.69)^{\circ}=45.31^{\circ}\)

DG = 17cos(45.31) + 15cos(53.69) = 21 yd