Answer:
P = (18a+10b+13) cm
Step-by-step explanation:
Given that,
A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.
We need to find an expression that represents the perimeter of the triangle.
Perimeter = sum of all sides
P = (10a+9) + (8a-3) + (10b+7)
Taking like terms together,
P = (10a+8a)+10b+(9-3+7)
= 18a+10b+13
Hence, the epresssion for the perimeter is (18a+10b+13) cm.
Answer:
A = choosing a red marble
B = choosing a green marble
Probability of A happening = P(A) = 5/(3+5+4) = 5/12
Probability of B happening = P(B) = 4/(3+5+4) = 4/12
Probability of either happening = P(A) + P(B) = 5/12 + 4/12 = 7/12
The key word in their question is red OR green and that is why we add the two probabilities. If they ask the probability of them both happening (if they said red AND green), you would multiply P(A)*P(B).
B. 3 √3
The shortcuts for a 30 60 90 triangle is that the:
Hypotenuse is 2 times the short leg
The long leg is √3 times the short leg.
Making it 3 √3
Another way is by the Pythagorean Theorem.
a^2+b^2=c^2
3^2+b^2=6^2
9+b^2=36
Subtract 9 from both sides
b^2=27
Square root both sides
b=5.2 or the √27
√27 can be simplified more
An equation that equals to 27 that has a perfect square is 9*3
√9* √3
The perfect square of 9 equals to 3
So 3 √3
Always use PEMDAS as a key. Peretheses, Exponents, Multiplication, Division, Addition, and then Subtraction.
