Using Pythagorean theorem, we can justify our answer.
if c^2 = a^2 + b^2 then triangle is right one,
if c^2 > a^2 + b^2 then triangle is obtuse and
if c^2 < a^2 + b^2 then triangle is acute triangle.
Here a=8, b=11 and c=16
Put these values in the equation
16^2 = 8 ^2 + 11^2
256 = 64 +121
256> 185
So here c^2 > a^2 + b^2 Which means triangle is obtuse triangle.
Answer: Obtuse Triangle
Let
T---------> <span>the tax rate on the parts in $
we know that
$18.75=$15+$3.50+$T
T=18.75-15-3.5
T=$0.25
so
$3.50----------> 100%
$0.25--------> x
x=0.25*100/3.50------> x=7.14%------> x=7.1%
the answer is
7.1%</span>
Answer:
D.x = 6; m∠XOY = 18°
Step-by-step explanation:
Supplementary angles add to 180 and complementary angles add to 90
∠WOZ + ∠WOX = 180
108 + ∠WOX = 180
∠WOX + ∠XOY = 90
∠WOX + 3x = 90
∠WOX = 90 -3x
Replace WOX in the first equation
108 + ∠WOX = 180
108 + 90 -3x = 180
Combine like terms
198 -3x = 180
Subtract 198 from each side
-3x = 180-198
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
∠XOY = 3x = 3*6 = 18
Answer: Choice B
Range = {-3, 1, 5}
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Explanation:
The domain is the set of all possible input x values. The range is the set of all possible y outputs.
Plug in each x value from the domain, one at a time, to get its corresponding range y value.
--------------------
Start with x = -3
f(x) = 2x+3
f(-3) = 2(-3)+3
f(-3) = -6+3
f(-3) = -3
So -3 is in the range.
--------------------
Move onto x = -1
f(x) = 2x+3
f(-1) = 2(-1)+3
f(-1) = -2+3
f(-1) = 1
1 is also in the range
--------------------
Finally plug in x = 1
f(x) = 2x+3
f(1) = 2(1)+3
f(1) = 2+3
f(1) = 5
The value 5 is the final value in the range.
--------------------
All of those values form the set {-3, 1, 5} which is the complete range.
Answer:
The answer is 14
Step-by-step explanation:
e=2
Substitute 2 in for e
8 + 3(2)
Solve
14
