Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
3x+15=0
<=> 3x=-15
<=> x= -15/3
<=> x= -5
Vậy nghiệm của đa thức 3x+15 là -5
Step-by-step explanation: Notice that the figure shown here is a rectangle so we can find its area by using the formula <em>length x width</em>.
Since the length is 3/7 in and the width is 2/8 in, we can plug this information into the formula to get (3/7)(2/8).
Now multiplying across the numerators and multiplying across the denominators we get 6/56 which can be reduced to 3/28 in².