Answer: The sailboat is at a distance of 15 km from the port.
Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.
We are to find the distance between the sailboat from the port in kilometers.
Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.
The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.
PS = ?
Using the Pythagoras theorem, we have from right-angled triangle SOP,
Thus, the sailboat is at a distance of 15 km from the port.
Answer:
7.3 feet
Step-by-step explanation:
osK=
hypotenuse
adjacent
=
35
x
\cos 78=\frac{x}{35}
cos78=
35
x
35\cos 78=x
35cos78=x
Cross multiply.
x=7.2769\approx \mathbf{7.3}\text{ feet}
x=7.2769≈7.3 feet
Type into calculator and round to the nearest tenth of a foot.
Length of arc=angleO/360×2pi×r
=108/360×22/7×14×14
=3/10×22×2×14
=66×2×14/10
=1848/10
=184.8inches
Answer:
Step-by-step explanation:
The graph you see there is called a parabola. The general equation for the graph is as below
To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.
To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!
Awesome, we've found both values. And we can write the result.
I'll include a plotted graph with our equation just so you can verify it is indeed the same.
Answer:
D.)Gym B and Gym A charge the same hourly rate for childcare.
Step-by-step explanation:
You need to find out how much Gym B charges for a full hour. There are 60 minutes in an hour. Divide this by 5 to determine how many 5 minute increments are in an hour: 12. A parent paying for 1 hour of child care will need to make 12 payments of .75. 12 times .75 equals $9.00. This means that both gyms charge the same amount per hour.
