Answer:
1. x=74
2. x=86
Step-by-step explanation:
1. the sum of interior angles in a triangle is 180 degrees
81 + 25 + x = 180
106 + x = 180
x = 74
2. once again the sum of interior angles in a triangle is 180 degrees so add up the terms and set them equal to 180
x + x-35 + 43 = 180
add up like terms (x and x, -35 and 43)
2x +8 = 180
2x = 172
x = 86
Answer:
x = 3
Step-by-step explanation:
take 60 degree as reference angle and using cos rule
cos 60 = adjacent/hypotenuse
1/2 = x/6
do cross multiplication
2*x = 6*1
x = 6/2
x = 3
9514 1404 393
Answer:
5/4
Step-by-step explanation:
The relationship between the sec and csc functions is ...
csc(A) = sec(A)/√(sec²(A) -1)
For the given value of sec(A), this is ...
csc(A) = (5/3)/√((5/3)² -1) = (5/3)/√(16/9) = (5/3)/(4/3)
csc(A) = 5/4
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Some calculators can tell you the answer directly.
Answer:
As the picture shows, we have
V = (x+5)(x-2)x =30x
<=> x(x^2+3x-10) =30x
<=> x^3 + 3x^2-10x-30x = 0(*)
<=> x^3 +3x^2 -40x = 0
<=> x(x-5)(x+8) =0
Solve for (*), there are 3 solution :
5,
0(invalid),
-8(invalid)
=> 3 dimensions of rectangular box: 5, 3, 10
Answer: x>7
Step-by-step explanation:
Because 2 tons of ore in an hour
It says that the government purchase 4 tons, and 10 tons are sold to the mineral extractor
4+10=14
14÷2=7
14>7
