-40
Step-by-step explanation:
at the moment your equation is x+40=0
you move the forty to the other side by subtraction and you get x= -40
The angle between the planes is the same as the angle between their normal vectors, which are
<em>n</em><em>₁</em> = ⟨1, 1, 1⟩
<em>n</em><em>₂</em> = ⟨4, 3, 1⟩
The angle <em>θ</em> between the vectors is such that
⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(<em>θ</em>)
Solve for cos(<em>θ</em>) :
4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(<em>θ</em>)
8 = √3 √26 cos(<em>θ</em>)
cos(<em>θ</em>) = 8/√78
Answer:
The total area of the field is 343 square feet
Step-by-step explanation:
Let us solve the question
∵ There are 7 workers hired to seed a field by hand
∵ Each is given a plot 7 x 7 feet in size
→ The plot has shaped a square because its two dimensions equal
∴ The side of the plot = 7 feet
∵ The area of the square = side × side
∴ The area of each plot = 7 × 7
∴ The area of each plot = 49 square feet
→ To find the total area multiply the area of 1 plot by the number
of the workers
∵ The total area = 49 × 7
∴ The total area = 343 square feet
∴ The total area of the field is 343 square feet
1 1/2 cups vegetable oil is needed. You're tripling the recipe, so you put 1/2 cup and 1/2 cup together to get one, but you still need one more half cup. The answer is 1 1/2 cups
Answer:
624.396
Step-by-step explanation:
I did the math myself XD
