Answer:
Step-by-step explanation:
Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:
The height of a triangle is 5 cm shorter than its base. This means that:
.
The area of the triangle is 25 cm²
By definition the area of a triangle is:
For this triangle we know that 
and . We substitute these values in the equation and solve for B.
Now we use the quadratic formula to solve the equation.
For an equation of the form 
the quadratic formula is:
In this case note that: 
Then:
The solutions are:
For this problem we take the positive solution.
Now we substitute the value of B in the equation to find the height h
<span>distributive property
</span><span>B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08) </span>
Step-by-step explanation:
The problem bothers on fractions, here we are being presented with mixed fractions.
what we are going to do bascially is to subtract the sum of all the uloaded
peat moss in sites 1 and 2 to get from the peat moss to get the remaining for the third site
therefore
we then have to convert the mixed fraction to further simplify the problem we have
we then solve the fraction to the right of the negative symbol first
We can now convert to mixed fraction
For the third site the remainder is 5 12/25
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
Answer:
the Expression is :
(3) × (1 + 6d + 7y)
Step-by-step explanation:
here's the solution : -
=》
=》
now, since 3 is common in all terms let's take it out.
=》
=》so, ,we got the above expression as product of 3 and ( 1 + 6d + 7y ) as factors.
