Answer:
radius ≈ 15.5
Step-by-step explanation:
the radius is RS
the angle between a tangent and the radius at the point of contact is 90°
then Δ RST is a right triangle
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then
RS² + ST² = RT² ( substitute values )
RS² + 7² = 17²
RS² + 49 = 289 ( subtract 49 from both sides )
RS² = 240 ( take square root of both sides )
RS = 
≈ 15.5 ( to 1 dec. place )
The first bus stop is 4 miles from the school. 1 mile is 1760 yards. Multiply 1,760 by 4 to get 7,040 yards. The first bus stop is 7,040 yards from the school.
I graphed this line below.
Start with an open dot on 7.
The reason we use an open dot is because x
does not equal 7, it is only greater than 7.
So from your open dot, draw an arrow to the right
to represent all numbers greater than 7.
Finally, state your answer in set notation if possible.
It is read as {x: x > 7}.
Answer:
$106.67
Step-by-step explanation:
Using the example, for 3 hours work, Alex would be paid ...
(2 hr)($30/hr) +(1 hr)($20/hr) = $60 +$20 = $80
At the same rate of pay, for 4 hours work, the pay would be ...
pay/(4 hr) = $80/(3 hr)
pay = $80(4/3) ≈ $106.67
Alex's pay for 4 hours of work is $106.67.
Answer:
<em>3x + 2y = -2 </em>
Step-by-step explanation:
<em>Given Equation is</em> <em>−
2
x + 3
y = 12</em>
3
y =
2
x + 12
y
= (
2
/3
) y + 12
<em />
<em>Slope of this line is </em><em>m = 2/
3
</em>
<em>
Slope of Line A </em><em>
m
a = 2
</em>
<em>
Slope of Line B </em><em>m
b = 2/
3
</em>
<em>
Slope of Line C </em><em>m
c = −
(
2
/3
)
</em>
<em>
Slope of Line D</em> <em>m
d = − (
3
/2
)
</em>
since m
d = −
1
/m , <em>D</em> is perpendicular to the given line
