Step-by-step explanation:
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A garden table and a bench cost $809 combined. The garden table costs $41 less than the bench. What is the cost of the bench ?
1 answer:
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Answer:
4.5 hours
Step-by-step explanation:
So, let's write a function p(x) which represents the total cost.
Let's let x represent the amount of hours.
The cost of a piece is a constant 10.
And there is a $8 fee per hour. In other words:
We spent a total of $46.
So, substitute in 46 for p(x) and solve for x:
Subtract 10 from both sides:
Divide both sides by 8:
Reduce:
So, we spent about 4.5 hours.
Answer:
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30° ⇒ last answer
Step-by-step explanation:
In any triangle if the sum of the squares of the shortest two sides is equal to the square of the longest side, then the triangle is a right triangle and the angle opposite to the longest side is the right angle
In Δ VUW
∵ WV = 6 cm
∵ WU = 3 cm
∵ UV = 3 cm
- Use the rule above tho check if it is a right Δ or not
∴ The longest side is WV
∴ The shortest two sides are WU and UV
∵ (WV)² = (6)² = 36
∵ (WU)² + (UV)² = (3 )² + (3)² = 27 + 9 = 36
∴ (WV)² = (WU)² + (UV)²
- That means ∠U which opposite to WV is a right angle
∴ Δ VUW is a right triangle at ∠U
∴ m∠U = 90°
Let us use the trigonometry ratios to find m∠W and m∠V
→ sin Ф =
∵ UV is the opposite side of ∠W
∵ WV is the hypotenuse
∵ sin(∠W) =
∵ sin(∠W) =
- Use to find ∠W
∴ ∠W =
∴ m∠W = 30°
∵ WU is the opposite side of ∠V
∵ WV is the hypotenuse
∵ sin(∠V) =
∵ sin(∠V) =
- Use to find ∠V
∴ ∠V =
∴ m∠V = 60°
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30°
Answer:
8°,32°,140°.
Step-by-step explanation:
Sum of measure of angles of a triangle is 180°
Let the second smallest angle be x°
Smallest angle= x
Largest angle= 5 x- 20°
A T Q
x+ x + 5x-20= 180°
= 180+ 20
= 200
x= × 4
x= 32°'
Smallest angle is 32°
Hence, the smallest angle is x=
×32°= 8°
Largest angle is 5x- 20= 5×32- 20= 140°