Four identical circles are lined up in a row with no
1 answer:
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Answer:
23, 24, 25, 26, 27, 28, 29, or 30
22.5 ≤ p ≤ 30
Step-by-step explanation:
So we know that in 2/3 hours, Carlos can write 3 to 4 pages.
First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.
So there are 7.5 2/3's in 5.
Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.
7.5(4) = 30
So the maximum amount of pages Carlos can write in 5 hours is 30.
Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.
7.5(3) = 22.5
So the minimum amount of pages Carlos can write in 5 hours is 22.5.
Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.
22.5 ≤ p ≤ 30
Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
Step-by-step explanation:
The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.
Vertices A, B, and C form a right triangle with legs ,
, and
. The two legs, 3 and 4, represent the triangle's height and base, respectively.
The area of a triangle with base and height
is given by
. Therefore, the area of this right triangle is:
The other triangle is a bit trickier. Triangle is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:
, where
,
, and
are three sides of the triangle and
is the semi-perimeter (
).
The semi-perimeter, , is:
Therefore, the area of the isosceles triangle is:
Thus, the area of the quadrilateral is: