Area of the triangle = (1/2)*base*height
For right triangle base and height can be legs.
We have one leg = 5 ft. (Lets think it is a base.)
We need to find the other leg.
We are going to use Pythagorean theorem.
5² + b²=13²
b²=144
b=12 (It is going to be our height.)
Area of the triangle = (1/2)*5*12= 30 ft²
Area of the triangle = 30 ft²
Answer:
Distributive Property
Step-by-step explanation:
5y + 2 + 6 + 2y
= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition
= 6y − y + 2y + 10 − 4 + 2
The distributive property of multiplication with respect to addition is the one which separates each term by using multiplication and then addition.
So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.
Answer:
y = 3/4x + 6
Step-by-step explanation:
6-3 3
------- = ------
0--4 4
y = mx + b
take coordinates for y and x out of (-4, 3) or (0,6)
6= 3/4 * 0 + b
6 = 0 + b
b = 6
Answer:
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Step-by-step explanation:
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Answer:
The z-score corresponding to an observed value of x of 2 is 0.215.
Step-by-step explanation:
We are given that a variable x has the possible observations shown below;
Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.
Firstly, we will find the mean and the standard deviation of X, i.e;
Mean of X, (
) =
=
=
= 1.44
Standard deviation of X, (
) =
=
= 2.603
Now, the z-score corresponding to an observed value of x of 2 is given by;
z-score =
=
= <u>0.215.</u>