Answer:
see explanation
Step-by-step explanation:
∠ PQX = 90° ( angle in a semicircle )
∠ PXQ = 42° ( alternate angle theorem )
Angle between tangent and diameter is right, thus
∠ XPQ = 90° - 42° = 48°
Answer:
√3/10 = 0.1732
Step-by-step explanation:
√15 / 5√20 = (√5 x √3) / 5(√5 x √4) = √3 / (5 x√4) = √3 / 10
<h2>
Hello!</h2>
The answer is:
The distance to over by Adam to get to the park is 108 miles.
<h2>
Why?</h2>
To solve the problem, we need to write two equations using he given information about the times and his speed.
So,
For the first equation we have: Travel to Disney Park


For the second equation we have: Travel back from Disnery Park



Then, if Adam covered the same distance going and coming back, we have:





We have that the speed when he was going to Disney Park was 27 mph.
Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.
Therefore, substituting the speed into the second equation, we have:


Hence, we have that the distance that Adam should cover to get to the park is 108 miles.
Havea nice day!
Rewrite it as y=6x-7/5
Flip the x and y
x=6y-7/5
Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y
f^-1(x)=5/6x+7/6
Answer: B
Step-by-step explanation:
y = azaleas
x = lilies
6y + 5x =196 total cost
y + x = 36 total number of items
y = 36 – x
6(36 -x ) +5x =196
216 – 6x + 5x = 196
-x = 196 – 216
-x = -20
Divide by -1
X = 20 lilies
Plug into y equation
Y = 36 – 20
Y= 16 azaleas
To check
6(16) + 5(20) = 196
96 + 100 = 196