The value of x from the given triangle is 32√3/3
<h3>SOH CAH TOA identity</h3>
In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.
sin 60 = 8√2/H
H = 8√2/sin60
H = 8√2 * 2/√3
H = 16√2/√3
H = 16√6/3
For the value of x, we will use the expression
sin45 = (16√6/3)/x
1/√2 = 16√6/3x
3x = 16√12
3x = 32√3
x = 32√3/3
Hence the value of x from the given triangle is 32√3/3
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Answer:
p < 0
Step-by-step explanation:
Given
- 3(p - 7) > 21
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
p - 7 < - 7 ( add 7 to both sides )
p < 0
Answer:
A, B, & C
Step-by-step explanation:
A: -5x +12 = -12x - 12
+12x +12x
7x + 12 = -12
-12 -12
7x = -24 [Divide both sides by 7 to get x]
x = -24/7
B: −5x + 12 = 5x + 12
-5x -5x
-10x + 12 = 12
-12 -12
-10x = 0 [Divide both sides by -10 to get x]
x = 0
C: −5x + 12 = 5x − 5
-5x -5x
-10x + 12 = -5
-12 -12
-10x = -17 [Divide both sides by -10 to get x]
x = 17 / 10
D: −5x + 12 = −5x − 12
+5x +5x
12 ≠ -12 [The statement is false, so it isn't the correct answer]
Simplify the brackets.
5x - 8x - 9 + 4.5x
Collect like terms
(5x - 8x + 4.5)-9
Simplify
1.5x - 9
Now give me your stuffed crust.
4.25+1.25*m, 5.75+0.75*m
4.25+5.75=10 and 1.25+0.75 = 2 therefore the two expressions are 2m+10
0.5m-1.5 : 4.25+1.25+m-5.75+0.75*m =0.5m-1.5 ( I'm quite sure about this one but I can't think of another answer but this )