Answer:
17 m² or 17 square meters
Step-by-step explanation:
A trapezoid has base lengths of 5 meters and 3.5 meters. If the height of the trapezoid is 4 meters, what is the area of the trapezoid?
Area of a trapezoid =1/2(b1 + b2)h
Where
b1 = First base length = 5m
b2 = Second base length = 3.5 m
Height = 4m
= 1/2(5m + 3.5m) × 4m
= 1/2(8.5m) × 4m
= 1/2 × 8.5m × 4m
= 17 m²
Therefore, the area of the trapezoid is 17 m² or 17 square meters
Answer:
n=97
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
We know that the margin of error for a confidence interval is given by:
(1)
The next step would be find the value of 
, 
and 
Using the normal standard table, excel or a calculator we see that:
If we solve for n from formula (1) we got:
And we have everything to replace into the formula:
And if we round up the answer we see that the value of n to ensure the margin of error required 
is n=97.
Answer:
Step-by-step explanation:
<u>Given</u>
- u(x) = x^5 - x^4 + x^2 and v(x) = -x^2
<u>(u/v)(x) = </u>
- (x^5 - x^4 + x^2) /(- x^2) =
- - (x^3 - x^2 + 1) =
- -x^3 + x^2 - 1
Correct option is C
Answer:
1. AB ~= DF
2. Definition of Congruent
3. Reflexive Property of Congruency
4 BD=BD
6. AB+BD=AD; DF+BD=BF
7. Substitution Property of Equality
8. Definition of Congruent
Step-by-step explanation:
1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).
2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.
3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.
4. Remember if something is congruent then it is equal.
6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.
7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.
8. If two things are congruent then they are equal by definition of congruency.
The simplified expression is 18x^3.
Hope this helped☺☺
