Answer:
Step-by-step explanation:
The computation of the area of kite ABCD is shown below:
Given data
AC = 10 ;
BD = 6
As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal
Now the area of quadrilateral when the diagonals are given
So, it is
where,
So, the area of the quadrilateral is
Answer:
Step-by-step explanation:
The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:
and
and
so
x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:
and
and
so
x = 46.6 feet
Answer:
D: 11
Step-by-step explanation:
4(x + 2) - 17 = 35
4x+8 - 17=35
4x-9=35
4x=35+9=44
x=44/4=11
Answer:
Option B is correct that is amount she is getting per bottle is $0.15
Step-by-step explanation:
We have been given the information that melisande collected 14 bottles on saturday and 9 bottles on sunday
That means she has collected total of 23 bottles
Let us assume that the amount she is paid for recycling is $b
Since, she is left with $3.20 after the amount she gets for bottles we will get the equation below:
23b=3.20
Now, since she has to pay one time service fee equation will become
23b -0.25 =3.20
After simplification we will get
23b=3.20+0.25=3.45
b=3.45/23=.15
b=$0.15
Therefore, The amount she is getting per bottle is $0.15
just use what you know about this stuff
(a+36d)/(a+20d) = (a+55d)/(a+36d)
(a+36d)^2 = (a+55d)(a+20d)
a^2+72ad+1296d^2 = a^2+75ad+1100d^2
3ad = 196d^2
3a = 196d
That is, for any value of n,
a=196n
d=3n
So, there is no unique solution.
If n=1, then a=196 and d=3. The terms are
196+20*3 = 256
196+36*3 = 304
196+55*3 = 361
304/256 = 361/304
You can easily verify that it works for any value of n.