Idk what it’s asking for since u don’t show that but if it’s radius: 5. 18m, 6. 11.3 in, 7. 21 yd, if it’s diameter: 5. 36m, 6. 22.6in, 7. 42yd
Answer:
5x2=10 so 10+3 =13
Step-by-step explanation:
your answer is 13
17 yards. The fence that enclose Sondra's backyard is a right triangle whose sides measuring 8 yards, 15 yards and 17 yards respectively.
The key to solve this problem is using the Pythagorean Theorem that dictates; In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs and the equation hypotenuse²=leg1²+leg2².
For this problem we know the measuring of two side, which mean that we can apply Pythagorean Theorem equation as follow:
Let's say that one of the side is a = 8yards, and the other side is b = 15yards. So, we want to know how long the third side c long.
Applying the Pythagorean Theorem:
![c^{2} =a^{2}+b^{2} \\c=\sqrt{a^{2}+b^{2}}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3Da%5E%7B2%7D%2Bb%5E%7B2%7D%20%20%5C%5Cc%3D%5Csqrt%7Ba%5E%7B2%7D%2Bb%5E%7B2%7D%7D)
Substituting the values of the sides a and b:
![c=\sqrt{(8yards)^{2}+(15yards)^{2}}\\c=\sqrt{64yards^{2}+225yards^{2}}\\c=\sqrt{289yards^{2}}\\c=17yards](https://tex.z-dn.net/?f=c%3D%5Csqrt%7B%288yards%29%5E%7B2%7D%2B%2815yards%29%5E%7B2%7D%7D%5C%5Cc%3D%5Csqrt%7B64yards%5E%7B2%7D%2B225yards%5E%7B2%7D%7D%5C%5Cc%3D%5Csqrt%7B289yards%5E%7B2%7D%7D%5C%5Cc%3D17yards)
Answer:
a=55
b=5
T=17
Step-by-step explanation:
The general form of the equation is:
![N(t)=ab^{\frac{t}{T}}](https://tex.z-dn.net/?f=N%28t%29%3Dab%5E%7B%5Cfrac%7Bt%7D%7BT%7D%7D)
For t = 0:
![N(0)=ab^{\frac{0}{T}}\\N(0) = a = 55\\a=55](https://tex.z-dn.net/?f=N%280%29%3Dab%5E%7B%5Cfrac%7B0%7D%7BT%7D%7D%5C%5CN%280%29%20%3D%20a%20%3D%2055%5C%5Ca%3D55)
Since there has been a fivefold increase after 17 years, at t = 17, N(17) = 55*5
![N(17)=55b^{\frac{17}{T}}\\55*5 = 55b^{\frac{17}{T}}\\b^{\frac{17}{T}} = 5](https://tex.z-dn.net/?f=N%2817%29%3D55b%5E%7B%5Cfrac%7B17%7D%7BT%7D%7D%5C%5C55%2A5%20%3D%2055b%5E%7B%5Cfrac%7B17%7D%7BT%7D%7D%5C%5Cb%5E%7B%5Cfrac%7B17%7D%7BT%7D%7D%20%3D%205)
If at every 17*n years there in an increase of 5^n, one can deduct that the values for T and b are respectively 17 and 5:
![b^{\frac{t}{T}}= 5^{\frac{17n}{17}}](https://tex.z-dn.net/?f=b%5E%7B%5Cfrac%7Bt%7D%7BT%7D%7D%3D%205%5E%7B%5Cfrac%7B17n%7D%7B17%7D%7D)
Therefore, the function that represents N(t) is:
![N(t)=55*5^{\frac{t}{17}}](https://tex.z-dn.net/?f=N%28t%29%3D55%2A5%5E%7B%5Cfrac%7Bt%7D%7B17%7D%7D)