Answer:
BC ≈ 14.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin65° =
=
=
( multiply both sides by 16 )
16 × sin65° = BC , then
BC ≈ 14.5 cm ( to the nearest tenth )
Answer:
-4
Step-by-step explanation:
f(x) = 4x - 12
Let x=2
f(2) = 4*2 - 12
= 8-12
= -4
Answer:
is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).
Step-by-step explanation:
We have given the vertices at (0, ±9) and foci at (0, ±11).
Let (0,±a) = (0,±9) and (0,±c) = (0,±11)
The standard equation of parabola is:

From statement, a = 9
c² = a²+b²
(11)² = (9)²+b²
121-81 = b²
40 = b²
Putting the value of a² and b² in standard equation of parabola, we have
which is the answer.
Answer:
45 DOLLARS
Step-by-step explanation:
For these kind of problems, write an equation to figure out the answer.
55 + 2x = 145
x represents the bag cost
145 is the shoe cost
Take out the constant, which is 55, from both sides. A constant is a useful term you should learn.
The result is: 2x = 90
Divide 2x by 2, to get x, which is the bag cost, by itself.
Result: x= 45
Since x is the bag cost, the bag costs 45 dollars
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Answer:
Third one
Step-by-step explanation:
<u>Two </u>things to solve 3x+9 <= 15
3x <= 6
<u> x <= 2</u>
<u> and</u> - (3x+ 9) <= 15
- 3x - 9 <= 15
- 3x <= 24
3x >= -24
<u> x > = - 8 </u>
<u />
<u />
<u>s o -8 <= x <= 2 </u>