AE = AC = 4
m<CAB = 60 (equilateral triangle)
m<CAE = 90 (square)
m<BAE = 150 (= 60 + 90)
Triangle BAE is isosceles since AB = AE;
therefore, m<AEB = m<ABE.
m<AEB + m<ABE + m<BAE = 180
m<AEB + m< ABE + 150 = 180
m<AEB + m<AEB = 30
m<AEB = 15
In triangle ABE, we know AE = AB = 4;
we also know m<BAE = 150, and m<AEB = 15.
We can use the law of sines to find BE.
BE/(sin 150) = 4/(sin 15)
BE = (4 sin 150)/(sin 15)
BE = 7.727
Answer:
SA = 470 m²
volume = 494 m³
Step-by-step explanation:
<u>Individual areas</u>
Back = 4 x 19 = 76 m²
Top = 5 x 19 = 95 m²
sloped side = 5 x 19 = 95 m²
base = 8 x 19 = 152 m²
end = (4 x 5) + 1/2(3 x 4) = 26 m²
Total SA = 76 + 95 + 95 + 152 + (2 x 26) = 470 m²
<u>Volume</u>
volume = (4 x 5 x 19) + 1/2(3 x 4 x 19) = 494 m³
Answer: 288ways
Step-by-step explanation:
There are 5men and 5women to be arranged, since the men must seat together, they will be arranged in 5! ways. For the women, since they must also seat together but with siamese twins between them, they can be arranged in 4! ways instead of 5! ways and this is due to presence of the twins among them.
Note that Siamese twins cannot be separated as such both are taken as one making it 4!.
Since the women and men are always sitting together, they can be arranged in 2! ways i.e 2 sexes
The final seating arrangement can be done in 2!×(5!+4!) ways
= 2× (120+24)
= 2×144
= 288ways.
Note that the arrangement of the men and women are added because they can only be arranged differently to ensure different sex are not sitting together.
Hello.
The answer is
-12y
Combine Like Terms:<span>=<span><span><span>6y</span>+<span>−<span>6y</span></span></span>+<span>−<span>12y</span></span></span></span><span>=<span>(<span><span><span>6y</span>+<span>−<span>6y</span></span></span>+<span>−<span>12y</span></span></span>)</span></span><span>=<span>−<span>12<span>y
Have a nice day</span></span></span></span>
