31.5 hope it helps have a good day
Answer:(
7
,
6
)
Explanation:
We can find the coordinates of the midpoint of a line segment, by finding the mean of the sum of the
x
coordinates and the mean of the sum of the
y
coordinates.
x
=
8
+
6
2
=
7
y
=
2
+
10
2
=
6
Coordinate of midpoint:
(
7
,
6
)
By connecting the top of the height of the bird feeder and the tip of the shadow casted, we form a right triangle. The hypotenuse is equal to the given distance between the top of the bird feeder and the top of the shadow which is equal to 19 feet.
If we let x be the height of the bird feeder and x/2 be the length of the shadow, by Pythagorean theorem,
x² + (0.5x)² = 19²
The value of x from the equation is 16.99 ft or 17 ft.
Thus, the height of the bird feeder is 17 ft and the shadow is approximately 8.5 ft.
First, subtract 24 - 14 to get how many books he had after he sold half of his collection and bought 14 more:
24 - 14 = 10
10 = number of books after he sold half of his collection.
Now, you need to multiply 10 x 2, because you need to find the original number of comic books:
10 x 2 = 20
He originally had 20 comic books.
An equation you could use for this question is:
2(24 - 14) = x. (X = number of comic books)
Hope this helps!!
~Kiwi
Answer:
32
Step-by-step explanation:
even numbers are 2,4,6,...,78
it is an A.P.
first term a=2
c.d. d=4-2=2
an=a+(n-1)d
78=2+(n-1)2
76=(n-1)2
n-1=76/2=38
n=38+1=39
now we take multiples of 10
10,20,30,...,70
70=10+(n-1)10
60=(n-1)10
n-1=60/10=6
n=6+1=7
so reqd. number of numbers=39-7=32
