The measure of the sides is 27, 23 and 16 and the perimeter is 56 respectively
<h3>The perimeter of a triangle</h3>
The triangle is a 2 dimensional shape that has 2 sides.
Given the following sides
l = m + n - 12
n = m - 7
m = l - 1/4n
l = m + 1/4n
Substitute
m + 1/4n = m + m - 7 - 12
m + 1/4(m-7) = 2m - 19
m + 1/4m - 7/4 = 2m - 19
-m + 1/4m = -19 + 7/4
-3/4m = -19(4)+7/4
-3/4m = -69/4
-3m = -69
m = 23
Hence the value of m from the given expression is 23
n = 23 - 7
n = 16
l = 23 + 16 -12
l = 39 - 12
l = 27
n = 23 - 7
n = 16
Hence the measure of the sides is 27, 23 and 16 respectively
Perimeter = 27+23+16
Perimeter = 56
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Answer:
Distance covered by the bird before meeting the water is: 51.264 ft
Step-by-step explanation:
Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:
So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.
Such hypotenuse is (using Pythagoras theorem):
Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.
The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:
So we make the proportion between known legs, and hypotenuses:
Answer:
x = 2 1/6
Step-by-step explanation:
6 1/4 (x− 2/3 )=9 3/8
Change the mixed numbers to improper fractions
6 1/4 = (4*6+1) / 4 = 25/4
9 3/8 = (8*9 +3) /8 = 75/8
25/4 (x-2/3) = 75/8
Multiply each side by 4/25
4/25*25/4 (x-2/3) = 75/8 *4/25
x-2/3 = 75/25 *4/8
x-2/3 = 3 *1/2
x-2/3 = 3/2
Add 2/3 to each side
x-2/3 +2/3 = 3/2 +2/3
x= 3/2 +2/3
Get a common denominator of 6
x = 3/2 *3/3 + 2/3 *2/2
x = 9/6 + 4/6
x = 13/6
6 goes into 13 2 times with 1 left over
x = 2 1/6
I don’t really know BAT ST Y S(
Explanation:
By checking the table for when y=0, Jose was looking for the number of rows such that the total number of seats is zero. Jose needed to check the table for when y = 416.
Doing that, Jose would find the number of rows to be -13 or +16. He would determine that the auditorium has 16 rows of seats.
