Answer:
30
Step-by-step explanation:
For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...
a·b = (xa)(xb) + (ya)(yb)
Substituting the given information, you have ...
a·b = 5·4 + 2·5 = 20 + 10
a·b = 30
_____
Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.
Answer:
The answer to your question is 55 ft
Step-by-step explanation:
Data
Person's height = 5 ft
Person's shadow = 10 ft
Tree's height = ?
Tree's shadow = 110 ft
- Use the Thales' theorem to solve this problem
Person's height / Person's shadow = Tree's height / Tree's shadow
- Substitution
5 / 10 = x / 110
-Solve for x
x = 5 (110) / 10
-Simplification
x = 550 / 10
-Result
x = 55 ft
-Conclusion
The tree is 55 ft height
3 divided by 1/4 =
3x4/1=12
Final Answer: Adren now has 12 pieces of carrot cake.
Answer:
( 2 , 2 )
Step-by-step explanation:
Solve the eqaution :
3x +2y=10
4x-y=6
Solve the eqaution for y :
3x + 2y = 10
y = -6 + 4x
Substitute for y : 3x + 2 ( -6 + 4x ) = 10
x = 10
Substitute for the value of x : x = 2
Substitute the given value of x into the eqaution
y = -6 + 4x : y = -6 + 4 × 2
Solve the eqaution: y = -6 + 4 × 2
solve the eqaution for y : y = 2
y = 2 A possible solution : the ordered solution pair is
( 2 , 2 )
