Answer:
x ≈ 25.4 Km
Step-by-step explanation:
Using the tangent ratio in the right triangle on the right
tan54° = 
= 
( multiply both sides by 17 )
17 × tan54° = opp , thus
opp ≈ 23.4
-------------------------------------------
Using the cosine ratio in the right triangle on the left
cos23° = 
= 
( multiply both sides by x )
x × cos23° = 23.4 ( divide both sides by cos23° )
x = 
≈ 25. 4 Km ( to the nearest tenth )
Answer:
equation is: width = area / length
width = 62.5 yd
Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²
For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd
Hope this helps :)
Answer:
The equation would be y = x + 5, in which x is the number of weeks and y is the number of books he has.
Step-by-step explanation:
We know this because even at 0 weeks, he still has 5 books. Therefore we put this as the constant at the end. Then we can add the number of weeks since the rate is one book per week.
Answer:
Step-by-step explanation:
2x⁴ + 4x³ - 30x² = 2x²*(x² + 2x - 15)
x² + 2x - 15
Sum = 2
Product = -15
Factors = 5 ; (-3)
x² + 2x - 15 = x² + 5x - 3x - 3 *5
= x(x + 5) - 3(x + 5)
= (x + 5)(x - 3)
2x⁴ + 4x³ - 30x² = (2x²) (x + 5)(x - 3)
