Answer:
width = 18.97 inches
Step-by-step explanation:
To find the smallest width of the box to fit the bat, we need to put the bat in the diagonal of the box.
The diagonal of the box is given by:
diagonal^2 = length^2 + width^2 + height^2
Then, using the diagonal = 36 inches, length = 30 inches and height = 6 inches, we have:
36^2 = 30^2 + width^2 + 6^2
1296 = 900 + width^2 + 36
width^2 = 360
width = 18.97 inches
Area of rectangle=length * breadth
=6*11=66kmOR,6000m*11000m=66000000m
The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
Answer:
$115.92
Step-by-step explanation:
To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.
A = P ( 1 + <u>R</u> ) ^n
100
where p = principal ($800)
a = amount (?)
r = interest rate (7%)
n = time ( no of years) (2)
A = 800 ( 1 + <u>7 </u>) ^2
100 A = 800 ( 1 + 0.07) ^2
A = 800 ( 1.07)^2 = 800 ( 1.1449)
A = 915.92.
We then find compound interest with:
C = Amount - Principal = $915.92 - $800 = $115.92
X + 5 , y + 2 when you are translating and if you are going up or right it’s going to be positive and it’s going to be negative if you’re going down or left
