Reduce a 24 cm by 36 cm photo to 3/4 original size.
The most logical way to do this is to keep the width-to-height ratio the same: It is 24/36, or 2/3. The original photo has an area of (24 cm)(36 cm) = 864 cm^2.
Let's reduce that to 3/4 size: Mult. 864 cm^2 by (3/4). Result: 648 cm^2.
We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.
From the first equation we get W = 2L/3. Thus, WL = 648 cm^2 = (2L/3)(L).
Solve this last equation for L^2, and then for L:
2L^2/3 = 648, or (2/3)L^2 = 648. Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.
Taking the sqrt of both sides, L = + 31.18 cm. Then W must be 2/3 of that, or W = 20.78 cm.
Check: is LW = (3/4) of the original 864 cm^2? YES.
Answer:
D. 2 hours and 30 minutes.
Step by step explanation:
60 minutes is an hour.
30 minutes is half an hour.
When she wrote 2.5, .5 is a half.
2 hours and 30 minutes.
Hope this helps & good luck!
Feel free to message me if you need more help! :)
Answer:
its basically just x=4
Step-by-step explanation:
The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation: f(z)=20+5z
Step-by-step explanation:
Given,
Delivery cost of 6 floral arrangements = $50.00
Delivery cost of 12 floral arrangements = $80.00
Let,
x be the constant rate for each floral arrangement.
y be the initial value.
According to given statement;
6x+y=50.00 Eqn 1
12x+y=80.00 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 6
Putting in Eqn 1;
The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation for the function;
Let z be the number of floral arrangements.
f(z) = initial fee + 5*Number of floral arrangements
f(z) = 20+5z
Keywords: function, subtraction
Learn more about functions at:
#LearnwithBrainly
Answer :
The Correct Option is B) Hexagon
Step-by-step explanation :
Let number of sides in a polygon be n
The triangles are created by drawing the diagonals from one vertex to all the others.
Since there is no overlapping of the triangles so no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex would lie on top of the adjacent sides, therefore number of diagonals from a single vertex is three less the the number of sides, or n - 3 and the number of triangles is one more than that, so n - 2.
⇒ Number of triangles = number of sides in polygon - 2
⇒ Number of triangles = n - 2
⇒ n = 4 + 2
⇒ n = 6
And the polygon containing 6 sides is called Hexagon
Hence, the correct Option is B) Hexagon
