Answer:
42
Step-by-step explanation:
In short, the sum of the opposite areas are equal.
x + 30 = 24 + 48
x = 42
To prove this, draw a line from each corner to the "center" where the four lines meet. Along each side of the square are two triangles. These triangles have the same base and the same height, and therefore have the same area.
If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:
a + b = x
b + c = 24
c + d = 30
a + d = 48
Adding the first and third equations:
a + b + c + d = x + 30
Adding the second and fourth equations:
a + b + c + d = 24 + 48
Therefore:
x + 30 = 24 + 48
x = 42
Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
No. 0.2487 is not an interger.
There are two big reasons for this:
1). There is no such thing as an ' interger ',
so no number could be one.
You probably mean ' integer '.
2). An integer is a whole number ... a number
with no fraction part and no decimal part.
0.2847 is all decimal, and not even big enough
to make the smallest whole number. (That's ' 1 '.)
Answer:
25 pages
Step-by-step explanation:
We know that Zakarya can read 5 pages in 8 minutes. First we divided 40 by 8, to see how many times of 8 she reads. She reads for 8 five times (40 minutes). We can multiply 5 (number of 8 minutes she reads) times 5 (pages she reads every 8 minutes) to get 25. She reads 25 pages in 40 minutes. Please tell me if this is wrong or makes no sense :).
