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
The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>
The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
Learn more about the limit of a function x here:
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Step-by-step explanation:
I think we cannot find the sum because it will continue on so the series is multiply by 4
Answer:
$125
Step-by-step explanation:
Given:
deposit, P= $500
rate,i = 5%
time,t= 5 years
I=P*i*t
where P is principal amount
i is interest rate
t is time
I is simple interest
Putting values we get:
I=500*0.05*5
= 125 !
<span>x-intercept, y = 0:
-2x + 8 =0
-2x = -8
x= -8/-2 = 4<span>
y-intercept, x =0
y = 8</span></span>
