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
Answer:
30 units
Step-by-step explanation:
In order to find the length of the 3rd side of the triangle, the hypotenuse, you can use the Pythagorean Theorem. Using this method, you get 5^2+12^2=169. The square root of 169 is 13.
5 + 12 + 13 = 30 units.
Answer:
47
Step-by-step explanation:
6n + 5y + 4z
substitute the variables
6(4) + 5(3) + 4(2)
6 x 4 = 24
5 x 3 = 15
4 x 2 = 8
24 + 15 + 8
= 47
It would be a rational number,c because if you are getting cents back, you are getting a decimal, which isn't a multiple of 1 so it can't be a whole number or negative number, and it can't be irrational because all cents are less than 100 which means they all terminate so they are rational.<span />
If its parallel then angular coeficient is the same
y = 5x + 3
The other line m = 5
(y - yo) = m.(x - xo)
(y - 7) = 5.(x - 9)
y - 7 = 5x - 45
y = 5x - 45 + 7
y = 5x - 38
Alternative D