3 years ago

Given: △ABC, m∠B=120° AB=6, BC=10 Find: Area of △ABC

Mathematics

1 answer:

Kobotan [32]3 years ago

4 0

A way to solve the problem; find out the answer.

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The sum of two numbers is 72. one number is 4 less than the other number. what are the two numbers?

-Dominant- [34]

Let 1st number be = x
Thus second number = x - 4

Now

(x) + (x - 4) = 72
2x - 4 = 72
2x = 76
x = 38

1st number is 38 thus 2nd number is (38 - 4) = 34

8 0

3 years ago

Last year, a person wrote 123 checks. Let the random variable x represent the number of checks he wrote in one day, and assume

Sunny_sXe [5.5K]

Answer:The mean number of checks written per day = 0.3370

The standard deviation = 0.5805

The variance = 0.3370

Step-by-step explanation:

Let the random variable x represent the number of checks he wrote in one day.

Given : The number of checks written in last year = 123

Let the number of days in the year must be 365.

Now, the mean number of checks written per day will be :-

$\lambda=\dfrac{123}{365}=0.33698630137\approx0.3370$

We know that in Poisson distribution , the variance is equals to the mean value .

$\text{Thus , Variance }=\sigma^2= 0.3370$

$\Rightarrow\ \sigma=\sqrt{0.3370}=0.580517010948\approx0.5805$

Thus, Standard deviation = 0.5805

3 0

2 years ago

Distance between points (7,6) (-3,-1)

GaryK [48]

Answer:

Step-by-step explanation:

(7,6) (-3,-1)

(x1,y1) (x2,y2)

$Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\=\sqrt{(-3-7)^{2}+(-1-6)^{2}}\\\\=\sqrt{(-10)^{2}+(-7)^{2}}\\\\=\sqrt{100+49}=\sqrt{149}\\\\=12.21$