We are given
△ABC, m∠A=60° m∠C=45°, AB=8
Firstly, we will find all angles and sides
Calculation of angle B:
we know that sum of all angles is 180
m∠A+ m∠B+m∠C=180
we can plug values
60°+ m∠B+45°=180
m∠B=75°
Calculation of BC:
we can use law of sines
now, we can plug values
Calculation of AC:
now, we can plug values
Perimeter:
we can plug values
Area:
we can use formula
now, we can plug values
...............Answer
Answer:
# red marbles = 25
# blue marbles = 7
Step-by-step explanation:
r + b = 32
r = 4 + 3b
substitute '4 + 3b' for 'r' in the 1st equation
4 + 3b + b = 32
4 + 4b = 32
4b = 28
b = 7
red = 32 - 7
r = 25
Where did the 9 and 2 come from
The general and correct rule in order of operations is PEMDAS which is parentheses, exponents, multiplication, division, addition then subtraction.
Given the expression <span>2 + (3 + 5)2 ÷ 4 ⋅(1/2)^4
P : </span><span>2 + (8)2 ÷ 4 ⋅(1/2)^4
E : </span><span>2 + (8)2 ÷ 4 ⋅ 0.0625
M: </span><span>2 + 16 ÷ 0.25
D: 2 + 64
A: 66
S: -
The final answer is then 66.</span>
