Answer:
Log 48 base 3 on changing base is3.524 and log X base 5 on solving is290.385
Step-by-step explanation:
Given log48 base 3
To change the base to natural logarithm for easy simplification
Log M base n is equal to log M /log n
Hence log3 48= log48/log 3= 1.6821/0.4771= 3.524
Changing to base 5
Log X base 5 is 3.524
log5 X=3.524
Recall that loga b=x
a^x=b
So
5^3.524=290.385 =X
Answer:
15" by 10"
Step-by-step explanation:
Use a proportion.
10'/5" = 30"/x
10x = 5 * 30
10x = 150
x = 15"
10'/5" = 20'/y
10y = 5 * 20
10y = 100
y = 10"
Answer: 15" by 10"
Responder:
Número total de bolas = 245/23
Explicación paso a paso:
Dado que:
Bolas blancas = 1/5
Bolas negras = 1/7
Bolas rojas = 7
Sea el número total de bolas = x
Bolas blancas = 1 / 5x
Bolas negras = 1 / 7x
Por tanto, total;
(x / 5 + x / 7 + 7) = x
((7x + 5x) / 35) +7 = x
(12x / 35) + 7 = x
7 = x - 12x / 35
7 = (35x - 12x) / 35
7 = 23 veces / 35
245 = 23x
x = 245/23
Answer:
29/40
Step-by-step explanation:
A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. The exact probability that Taylor picks an egg from the basket is;
(14+15)/(14+15+11) = 29/40
The area of a sector = 0.5 * radius^2 * central angle measure (in radians)
So that:
![Area_{sector}= \frac{1}{2} * 6^2* \frac{120}{180}*\pi=12\pi=37.69911 \\ Area_{sector}=37.7](https://tex.z-dn.net/?f=Area_%7Bsector%7D%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%2A%206%5E2%2A%20%5Cfrac%7B120%7D%7B180%7D%2A%5Cpi%3D12%5Cpi%3D37.69911%0A%5C%5C%0AArea_%7Bsector%7D%3D37.7%20%20%20)
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