Answer:
A baseball diamond is a square with sides of 90 feet. What is the distance to the nearest tenth of a foot between home and second base?
Step-by-step explanation:
127.3 feet This problem requires the use of pythagoras theorem. Ignore the face that it's a baseball diamond. All you're concerned with is that you have a square that's 90 feet per side and you want to know what the length of the diagonal. So you have a right triangle with 2 sides of 90 feet each and you want to know the length of the hypotenuse. The formula is C^2 = A^2 + B^2 Both A and B are 90, so plugging them into the formula gives C^2 = 90^2 + 90^2 = 8100 + 8100 = 16200 So C^2 = 16200 Take the square root of both sides C = 127.2792 Round to the nearest tenth, giving C = 127.3
Find the area of the parallelogram with vertices A(−1,2,3), B(0,4,6), C(1,1,2), and D(2,3,5).
cupoosta [38]
Answer:
5*sqrt3
Step-by-step explanation:
The vector AB= (0-(-1), 4-2,6-3) AB= (1,2,3)
The modul of AB is sqrt(1^2+2^2+3^2)= sqrt14
The vector AC is (1-(-1), 1-2, 2-3)= (2,-1,-1)
The modul of B is sqrt (2^2+(-1)^2+(-1)^2)= sqrt6
AB*AC= modul AB*modul AC*cosA
cosA=( 1*2+2*(-1)+3*(-1))/ sqrt14*sqrt6= -3/sqrt84=
sinB= sqrt (1- (-3/sqrt84)^2)= sqrt75/84= sqrt 25/28= 5/sqrt28
s= modul AB*modul AC*sinA= sqrt14*sqrt6* 5/ sqrt28= 5*sqrt3
Answer:
10
Step-by-step explanation:
This is the answer because:
1) First, insert all the numbers into the expression
Expression: I -2(2) + -3(2) I
2) Next, do -2 x 2 and -3 x 2
-2 x 2 = -4
-3 x 2 = -6
3) Then, do -4 + -6
-4 + -6 = -10
4) Finally, the absolute value of -10 is 10
Therefore the answer is 10
Hope this helps!
Answer: 1 1/2 or 6/4
Step-by-step explanation:
S=d/t
45=29/t
t=45/29
convert to min
t=45/29 *60=38.66min
