You need to say how many pills must be made in total.
Answer:
CD = 6.385 units
Step-by-step explanation:
Given triangle ABC with right angle at C.
And AB = AD + 6 .
Now, consider the triangle ABC.
⇒ cos(∠BAC) = (cosФ = adj/hyp)
cos(20) = .
0.9397 =
(since AB = AD + 6 and AC = AD + CD)
⇒ 0.9397 AD + 5.6382 = AD + CD
⇒ CD = 0.0603 AD + 5.6382. →→→→→ (1)
⇒ sin(∠BAC) = (sinФ = opp/hyp)
sin(20) = .
⇒ BC = AB sin(20) . →→→→→(2)
Now, consider the triangle BCD,
sin(∠BDC) =
⇒ sin(80) =
CD =
From (2), CD = .
⇒ CD = AB (0.3473)
⇒ CD = (AD + 6) (0.3473)
⇒ CD = 0.3473 AD + 2.0838 →→→→→→(3)
Now, (1) →→ CD = 0.0603 AD + 5.6382
(3) →→ CD = 0.3473 AD + 2.0838
⇒ 0.0603 AD + 5.6382 = 0.3473 AD + 2.0838
0.287 AD = 3.5544.
⇒ AD = 12.3847
⇒ From (1), CD = 0.0603(12.3847) + 5.6382
⇒ CD = 6.385 units
Answer:
Step-by-step explanation:
a) 6 out of 10 are shaded. 6/10 = 60/100 so it is 60%
b) 11 out of 20 are shaded. 11/20 = 55/100 so it is 55%
Answer:
A) 9x^2-12x+4
Step-by-step explanation:
to find out whether an equation is a perfect square when we take the square root of "a" and the square root of "c" and double their sum. The result should be the middle term, -12
so
square root of 9; 3
square root of 4: 2
2((3*-2))=-12
now we can take the square root of 9x^2(which is 3x) and the square root of 4(-2) and put it in a expression like this
(3x-2)^2
hope this helps!