Value of 3/4 + 1/5 is 19/20.
Do you need the steps?
First, calculate the LCM of the denominators (4 and 5) which is 20.
Now, divide 20 by 4 and 5 and multiply the quotient with the numerator.
=>
<u> </u><u>(</u><u>5</u><u>×</u><u>3</u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u>4</u><u>×</u><u>1</u><u>)</u><u> </u><u> </u>
20
=> <u>15+4</u>
20
=> 19/20
Hope it helps!
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Use cosine rule,
cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)
cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)
cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)
Check:29.926+56.251+93.823=180.0 degrees....ok
1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
Learn more about proportional relationship on:
brainly.com/question/15618632
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Answer:
The answer is 25.
Step-by-step explanation:
