Yes, I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.
<h3>What is a right-angled triangle?</h3>
A right-angled triangle serves as the triangle having one of its angles equal to 90 degrees.
It should be noted that the other two angles sum up to 90 degrees., hence I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.
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Answer:
x=9
Step-by-step explanation:
Add similar elements: -5x+3x=-2x
-2x+15=-3
Subtract 15 from both sides
-2x + 15-15=-3-15
Simplify
-2x=-18
Divide both sides by -2
-21/-2 = -18/-2
Simplify
x=9
Answer: $14.85
Step-by-step explanation:
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:
$384.75
Step-by-step explanation:
Albert's hourly pay is $8.10
When he works for more than 40 hours, his hourly pay will increase to $12.15.
Last week, Albert worked for 45 hours, his hourly pay would be:
First 40 hours = $8.10 * 40 = $324
Remaining 5 hours =
$12.15 * 5 = $60.75
Albert gross pay for this period will be calculated as:
$324 + $60.75 = $384.75
Therefore, Albert gross pay for this period = $384.75
