To solve this problem you must apply the proccedure shown below:
1. You have the the<span> 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
3</span>9 degrees 45'=39.75°
<span>
Sin(39.75°)=d/13.5
d=13.5x</span>Sin(39.75°)
<span> d=8.63
</span>
7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
Answer:
Step-by-step explanation:
Hello!
The definition of the Central Limi Theorem states that:
Be a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
X[bar]≈N(μ;σ²/n)
If the variable of interest is X: the number of accidents per week at a hazardous intersection.
There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15
I hope it helps!
It's directly proportional, so
m=kw
Find the value of k
900=k(18)
k= 50
Answer: m=50w
Answer:
x = 8
FE = 54
Its Acute, Isosceles triangle
Step-by-step explanation:
Well you have to do this out of order and use some knowledge about questions, (It always helps.)
Lets do 12 first:
If this were a scalene triangle, you wouldn't be able to solve for it. Because no sides are equal and this isn't equilateral, because it only shows two equal angles. Therefore it is Isosceles.
Also, if this were a right triangle we would see the little square for an angle. It isn't obtuse because if you look at the triangle and its angles it isn't wider than the square (this only works on the ones that are to scale like this one) So again by elimination and some knowledge of the question we figure out that it is an acute scalene triangle
Now we try and find X. Because Angles F, and E are equal, we can make the two sides equal to each other and solve for x.
Add 24 on both sides
8x - 24 = 40
+24 +24
Divide by 8 on both sides
8x/8 = 64/8
And Voilla
X = 8
Hope this helped! Ask me if you have any further questions!
