You got the equation correct
Answer:
The angle the wire now subtends at the center of the new circle is approximately 145.7°
Step-by-step explanation:
The radius of the arc formed by the piece of wire = 15 cm
The angle subtended at the center of the circle by the arc, θ = 68°
The radius of the circle to which the piece of wire is reshaped to = 7 cm
Let 'L' represent the length of the wire
By proportionality, we have;
L = (θ/360) × 2 × π × r
L = (68/360) × 2 × π × 15 cm = π × 17/3 = (17/3)·π cm
Similarly, when the wire is reshaped to form an arc of the circle with a radius of 7 cm, we have;
L = (θ₂/360) × 2 × π × r₂
∴ θ₂ = L × 360/(2 × π × r₂)
Where;
θ₂ = The angle the wire now subtends at the center of the new circle with radius r₂ = 7 cm
π = 22/7
Which gives;
θ₂ = (17/3 cm) × (22/7) × 360/(2 × (22/7) × 7 cm) ≈ 145.7°.
For part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.
<h3>What is debt?</h3>
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
5)
Total value = 20×30 + 18×40 + 35×15 = $1845
6)
Net worth = (3500 + 300 + 600) - (1000+200) = $3200
7)
Total debt value = 2000+3200 = $5200
Total assets value = 10000+1300+700 = $12000
Debt to assets value = 5200/12000 = 0.433
Similarly, we can find any debt to assets value by using the formula:
Debt to assets value = Total debt/Total assets
Thus, for part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.
Learn more about the debt here:
brainly.com/question/17286021
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Pour la question numero 2 . la reponse c'est oui , parce qu'une droite perpendiculaire est une droite passant a un point donne . tu vois que les lignes de la maison sont exactement rencontres . c'est une droite perpendiculaire
The value in cents of n nickels: 5n
The value in cents of d dimes and p pennies: 10d + p
The value in cents of w dollars: 100w
The next whole number following a whole number w: w + 1