Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
1. i cant see it 2. g=68 h=112 3. i=111 j=69 4. m=37 k=37 l=143
Answer:F B G E A
Step-by-step explanation:
1. F( a rigid transformation only changes the position but the size and angles remain the same)
2. B(The angle of rotation symmetry is the smallest angle the figure can be rotated to coincide with itself.)
3. G(Congruent means that it is the same size and shape)
4. E(Translation moves the whole shape including the points so that the shape and sizes remain the same)
5. A(Though it's position may change, reflective symmetry ensures that no other parts of the shape can change no matter what.)
Answer:
The family of possible values for 
are:
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
(1)
Where:
- Angle between vectors, in sexagesimal degrees.
- Norms of vectors 
and 
If is acute, then the cosine function is bounded between 0 a 1 and if we know that 
and 
, then the possible values for are:
Minimum (
)
Maximum (
)
With the help of a graphing tool we get the family of possible values for are:
55 miles is 290400 feet so you are driving at 290400 feet per hour now there are 60 minutes In an hours so divide
290400/60=4840
4840 feet per minute
there are 60 seconds in a minute so divide again
4840/60=80.67
80.67feet per second rounded
