Answer:
![\frac{x}{y}=1.3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D1.3)
Step-by-step explanation:
<u>Informação recuperada:</u>
(UFRGS) Se 10x = 20y , atribuindo 0,3 para log 2 , então o valor de x/y é
1) Primeiro, passando o 10 para o 2º membro como base do logaritmo:
![10x=20y \Rightarrow x=log_{10}20y](https://tex.z-dn.net/?f=10x%3D20y%20%5CRightarrow%20x%3Dlog_%7B10%7D20y)
2) Aplicando a propriedade do produto de logaritmo:
![log(AB)= logA+logB](https://tex.z-dn.net/?f=log%28AB%29%3D%20logA%2BlogB)
![x=log_{10}20y \Rightarrow x=log(2+10)y\Rightarrow x=(0.3+1)y \Rightarrow x=1.3y](https://tex.z-dn.net/?f=x%3Dlog_%7B10%7D20y%20%5CRightarrow%20x%3Dlog%282%2B10%29y%5CRightarrow%20x%3D%280.3%2B1%29y%20%5CRightarrow%20x%3D1.3y)
3) Como quero o quociente divido ambos os lados por y
![\frac{x}{y}=\frac{1.3y}{y}\Rightarrow \frac{x}{y}=1.3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B1.3y%7D%7By%7D%5CRightarrow%20%5Cfrac%7Bx%7D%7By%7D%3D1.3)
Answer:
where
denote arc lengths of two circles
Step-by-step explanation:
Let
denote arc lengths of two circles,
denote corresponding radii and
denote the corresponding central angles.
So,
and ![L=R\alpha _2](https://tex.z-dn.net/?f=L%3DR%5Calpha%20_2)
This implies
and ![\alpha _2=\frac{L}{R}](https://tex.z-dn.net/?f=%5Calpha%20_2%3D%5Cfrac%7BL%7D%7BR%7D)
As each circle has an arc where the measures of the corresponding central angles are the same, ![\alpha _1=\alpha _2](https://tex.z-dn.net/?f=%5Calpha%20_1%3D%5Calpha%20_2)
![\frac{l}{r}=\frac{L}{R}](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7Br%7D%3D%5Cfrac%7BL%7D%7BR%7D)
As radius of one circle is twice the radius of the other circle,
![R=2r](https://tex.z-dn.net/?f=R%3D2r)
![\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7Br%7D%3D%5Cfrac%7BL%7D%7B2r%7D%5C%5C%5Cfrac%7Bl%7D%7B1%7D%20%3D%5Cfrac%7BL%7D%7B2%7D%5C%5CL%3D2l)
Answer:
9feet
Step-by-step explanation:
Given the path of the toy modeled by the function f(x)=−x^2+4x+5, where x is the number of feet the toy is from Emmy and f(x) is the height of the toy.
AT maximum height, the velocity of the toy will be zero. Hence;
df(x)/dx = 0
-2x + 4 = 0
-2x = -4
x = -4/-2
x = 2
Get the maximum height;
Substitute x = 2 into the given function;
f(x)=−x^2+4x+5
f(2)=−2^2+4(2)+5
f(2) = -4+8+5
f(2) = 9feet
Hence the maximum height of the toy is 9feet
Answer:
1. adjacent
2. vertical
3. vertical
4. neither
5. adjacent
let me know if it's wrong
Step-by-step explanation:
Answer:
3140
Step-by-step explanation:
If they made 314 kilometers per day and they worked for 10 days, multiply:
![314*10=3140](https://tex.z-dn.net/?f=314%2A10%3D3140)
The total length of the road is 3,140 kilometers.