Answer:
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
The area of the triangle is 1/4 of this. Therefore:
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
Since DE = DF:
Thus:
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
Therefore:
Square:
Add:
And finally, we can take the square root of both sides:
Area of a triangle = 1/2 ab sinC
In this equation the angle C is between the two adjacent sides ab
Since the lengths are equal we can call them both X
Hence 254= 1/2 (x)(x) sin53
By simplifying 508 = (x^2) sin53
So therefore x is the square root of 508 divided by sin53 which means the length of the sides is 35.8km to 3 significant figures
9514 1404 393
Answer:
11.8
Step-by-step explanation:
The number has no digits to the right of the tenths place, so the number is correctly rounded as is.
11.8
Multiply 6 by 9 (whole number by denominator)
then add that to 15 (the product to the numerator.
1)5gallons--->10 fish
20 gallons---->(20*10/5)=40
10fish--->5gallons
1fish---->(1*5/10)=0.5 gallons
10--->5
50--->(50*5/10)=25 gallons
