Answer:
A
Step-by-step explanation:
1.BD=AC
AC^2=(9^2)+(6^2)-2(9)(6)COS115
AC^2=117-108COS115
AC=√71.358
AC=8.447//
Answer:
=14.69km²
Step-by-step explanation:
We can use the Hero's formula to calculate the area
A= √(s(s-a)(s-b)(s-c))
s is obtained by adding the lengths of the three sides of the triangle and then dividing by 2, a, b and c are the ides of the triangle.
S=(5+6+7)/2
=9
A=√(9(9-6)(9-5)(9-7))
=√(9×3×4×2)
=√216
=14.69km²
Answer: The midpoint of segment PQ is the number 2.5
note: 2.5 as a fraction is 5/2; as a mixed number 2.5 converts to 2&1/2
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Explanation:
Apply the midpoint formula to get the midpoint of -8 and 6
We simply add up the values and divide by 2 and we get (-8+6)/2 = -2/2 = -1
So point Q is at -1 on the number line, which is exactly halfway from R to P
Focus on just points P and Q now. Apply the midpoint formula again
Q = -1
P = 6
(Q+P)/2 = (-1+6)/2 = 5/2 = 2.5
So the midpoint of segment PQ is 2.5
The decimal 2.5 can be written as the mixed number 2&1/2, showing that this new point is exactly halfway between 2 and 3.
Answer:
<em>The total price of the CD is $14.18</em>
Step-by-step explanation:
<u>Percentages
</u>
We can compute additive or subtractive percentages by using these formulas. If we have a number X and want to increase it by Y%, then the increase is xY/100. Thus the new value for the number is x+xY/100 or equivalently

If we want to decrease by Z%, the new value is

The regular price for a CD is X=$15. The CD is Z=10% off, so the sale price is

But we have to add the tax of Y=5%, so the final value is

The total price of the CD is $14.18