Answer:
b
Step-by-step explanation:
Answer:
1) If Sam is an expert sailor then she will be allowed on Signe's racing boat.
2) If Sam is not allowed on Signe's racing boat, then she is not an expert sailor.
Step-by-step explanation:
- The contrapositive statement of if P → Q is if ~Q→~P.
In this case we have: If Sam is an expert sailor then she will be allowed on Signe's racing boat.
P = Sam is an expert sailor
Q = Sam will be allowed on Signe's racing boat.
To write the contrapositive statement we're going to say if ~Q→ ~P
If Sam is not allowed on Signe's racing boat, then she is not an expert sailor.
Answer:
A.) in 6 hours Rovan can make 288 tarts
B. at this rate it'll take Rovan about 2 and a half hours to make 120 tarts
Step-by-step explanation:
so if Rovan can make 48 tarts an 1 hour take 48 and multiply it by the hours to find out how many tarts he can make
48 x 1 =48
48 x 2 =96
48 x 3 =144 .....
48 x 6 =288
A.) in 6 hours Rovan can make 288 tarts
B. at this rate it'll take Rovan about 2 and a half hours to make 120 tarts
Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:

r=radius
We also know that the radius is just a half of the diameter.
So, the radius of the track is (1/2)/2=1/4 miles
Now, use the circumference of a circle formula to find how much she runs in 1 lap.

Simplify

This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.

The answer is around 5.497787144 miles.
To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).
We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment
using the pythagorean theorem we have that
![\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D6%5E2cm%5E2-3%5E2%5Coperatorname%7Bcm%7D%3D27cm%5E2%20%5C%5C%20h%3D%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B27%5Ctext%7B%20%7D%7Dcm%20%5Cend%7Bgathered%7D)
Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.
Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.
Finally we add up all the areas: