In the first attachment your answer is A.
In the second attachment your answer is D.
In the third attachment your answer is D.
In the fourth attachment your answer is 90cm
In the fifth attachment your answer is 98<span />
Answer:
6c^2-cd-d^2
Step-by-step explanation:
How you get the answer is you use the process called FOIL. The F is front, so you multiply the 2c and the 3c to get 6c^2. The O is the outer, so you multiply the 2c and the d(because they are on the outer sides of the parenthesis) to get 2cd. The I is the inner, so you multiply the -d and the 3c(because they are on the inner sides of the parenthesis) to get -3cd. The L is the last, so you multiply d and -d to get -d^2. The 2cd and the -3cd are the same so you have to minus them to get -cd. So the answer is:
6c^2-cd-d^2.
By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5
<em><u>Recall:</u></em>
Trigonometry ratios, <em>SOH CAH TOA</em> can be applied to solve a right triangle.
- Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).
<em><u>Given:</u></em>
ΔMNL is a right triangle
ML = 25
NL = 15
Find MN using the Pythagorean Theorem:
MN = √(ML² - NL²)
MN = √(25² - 15²)
MN = 20
To find the value of cos(M), apply the trigonometry ratio, CAH, which is:
cos ∅ = Adj/Hyp
∅ = M (reference angle)
Hypotenuse = ML = 25
Adjacent = MN = 20
cos(M) = 20/25
cos(M) = 4/5
Learn more about Trigonometry ratios on:
brainly.com/question/10417664
A=x²+4, so 12x²+48=12(x²+4)=12a
the original equation becomes: a²+32=12a,
rearrange into standard form: a²-12a+32=0
the coefficient of the a term is -12.
the constant is 32.
Number of Good Oranges = 2/3 * 48 = 32
Now, Let the number of Oranges taken by David = x
Taken by Ben = x + 8
It is given that, x + x+8 = 32
2x = 32 - 8
x = 24/2
x = 12
In short, David takes 12 Oranges
Hope this helps!