The sum of the magnitudes will be the magnitude of the sum when the vectors have the same direction.
Answer:
Total material needed = 9.5 square feet
Step-by-step explanation:
Dimensions of I = 2. 5feet x 1 feet
Area = 2.5 square feet
Dimensions of S :
Top part = 1 feet x 1 feet
Area of top part = 1 square feet
Bottom part = 1 feet x 2.5 feet
Area of bottom part = 2.5 square feet
Total Area of S = 2.5 + 1 = 3.5 square feet
Total material needed = Area of I + Area of S + Area of S
= 2.5 + 3.5 + 3.5
= 9.5 square feet.
Answer:
The range of values for x is; 5 < x < 29
Step-by-step explanation:
The given parameters are;
= 15
= 18
=
Given
=
by reflexive property
∠BCA = 2·x - 10
∠DCA = 48°
Since 15 < 18, given the common sides of the tringle ΔABC and triangle ΔADC, angle ∡(2·x - 10)° < 48°
Therefore;
2x - 10 < 48
2·x < 48 + 10
∴ x < 29
Also, given that 2·x - 10 is real, 0 < 2·x - 10
10 < 2·x
10/2 < x
5 < x
Therefore, an acceptable range is 5 < x < 29
660 yards total ran times how many feet are in each yard (3) , 660 x 3 = 1980 feet to be exact