Answer:
Step-by-step explanation:
using formula
a^2+b^2=c^2
x^2+4^2=8^2
x^2+16=64
x^2=64-16
x=
cm
Answer:
3.33%
Step-by-step explanation:
Given that :
Final amount A= 320
Principal P = 300
Time (t) = 2 years
Yes, the information is enough to obtain the interest rate :
Using the relation :
A = P(1 + rt)
r = interest rate
320 = 300(1 + r*2)
320 = 300(1 + 2r)
320/300 = 1 + 2r
1.0666666 = 1 + 2r
1.0666666 - 1 = 2r
0.0666666 = 2r
r = 0.0666666 / 2
r = 0.0333333
(0.0333333) * 100% = 3.33%
Answer:
the first one and the third one
Step-by-step explanation:
Answer:
1 hot dog costs $0.75
1 bratwurst costs $1.35
Step-by-step explanation:
Let x and y be the price per dozen of hot dogs and bratwursts respectively.
The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60
8x + 13y = 282.60
The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00
10x + 15y = 333
and we have the linear system
<em>8x + 13y = 282.60
</em>
<em>10x + 15y = 333
</em>
which can be written in matrix form as
The solution would be given by
We have
hence
Now,
if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75
if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35
Answer:
1.
Step-by-step explanation:
We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
We can set up an equation as:

Upon substituting our given values we will get,
Cross multiplying our equation we will get,





Therefore, the length of AD is
units and 1st option is the correct choice.