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
20% of 60 is 12
60/300 = 20%
The friend is incorrect because that is 20% of 300 not 60
Answer: Area= 459.73cm^2
Step-by-step explanation: Circumference of a circle is 2πr
76=2×3.14×r
r= 76÷(6×3.14)
r=12.10
Area of a circle= πr^2
Area= 3.14×(12.10)^2
Area= 456.73cm^2
Answer:
b)
Step-by-step explanation:
Answer:
The answers are as follows for the functions.
f(1) = 12
f(3) = 22
f(5) = 32
Step-by-step explanation:
To find any of these, simply input the value in for x in the equation given.
f(1)
f(x) = 5x + 7
f(x) = 5(1) + 7
f(x) = 5 + 7
f(x) = 12
You can repeat this for each of them and it will allow you to use all of the numbers in the equations given.
