Answer:
15.91 units
Step-by-step explanation:
You'll need to use the distance formula 4 times to find the lengths of the four sides to be :
5 sqrt 8 sqrt 20 sqrt13 summed = 15.91 units
Answer:
Height: 8.471
Volume: 2245.641cm3
Step-by-step explanation:
To solve this problem we need to find the volume of the cone, then the volume of the semi sphere, and then, sum all together.
To obtain the volume of the cone, we need to focus our attention in the triangle that already was given to us, since its height is the same as the height of the cone.
We can use the tan(26,7) since it relates the radius of the cone, and its height.
This gives us. h=9/tan(27,9)= 8.471 cm
The volume of the cone is then. 718.629cm3
The volume of the spehere is 1527.012 cm3
FInally the volumen of the toy is the sum of both volumes previously obtained:
2245.641cm3.
Refer the attached picture for a more detailed procedure.
Answer:
7.9 miles
Step-by-step explanation:
pi = 3.14
r = radius = 10 miles
c = circumference
substituting the values
c = 2pi*r
c = 2 * 3.14 * 10
c = 62.83 miles
The ship has traveled 45° due north
so,
d = ( total circular distance * 45 ) / 360
substituting the values:
we get;
d = ( 62.83 * 45 ) / 360
= 7.85 miles
= 7.9 miles
Answer:
92.623
Step-by-step explanation:
Let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3
Then the equation is (x-x₁)(x-x₂) = 0
If you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.
You can see that a=1 (there is just an x²)
b = (-5 -2√7 + 2√7 - 5)/3 = -10/3
c = ((-5-2√7)/3 ) * (-5+2√7)/3) = -1/3
So the equation you're looking for is: