The common factors of the numbers 18 and 30 is 6
<h3>How to determine the common factors of the numbers?</h3>
The numbers are given as
18 and 30
Express 18 and 30 as a product of its factors
So, we have
18 = 2 * 3 * 3
30 = 2 * 3 * 5
Multiply the common factors in the above expression
Common factors = 2 * 3
Evaluate the product
So, we have
Common factors = 6
Hence, the common factors of the numbers 18 and 30 is 6
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Answer:
jniancun
Step-by-step explanation:
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Answer:
24/10
Step-by-step explanation:
From the diagram
Opposite BC = 24cm
Adjacent = AC = 10cm
tan theta = opposite/adjacent
Substitute
tan <A = BC/AC
tan <A = 24/10
Hence the equivalent ratio is 24/10
Answer:
Option C is correct.
Step-by-step explanation:
y = x^2-x-3 eq(1)
y = -3x + 5 eq(2)
We can solve by substituting the value of y in eq(2) in the eq(1)
-3x+5 = x^2-x-3
x^2-x+3x-3-5=0
x^2+2x-8=0
Now factorizing the above equation
x^2+4x-2x-8=0
x(x+4)-2(x+4)=0
(x-2)(x+4)=0
(x-2)=0 and (x+4)=0
x=2 and x=-4
Now finding the value of y by placing value of x in the above eq(2)
put x =2
y = -3x + 5
y = -3(2) + 5
y = -6+5
y = -1
Now, put x = -4
y = -3x + 5
y = -3(-4) + 5
y = 12+5
y =17
so, when x=2, y =-1 and x=-4 y=17
(2,-1) and (-4,17) is the solution.
So, Option C is correct.
The two points where they end and the point where they start form a right triangle, one leg is 12, the other leg is 15, you need to find the hypotenuse.
use the Pythagorean theorem: 12²+15²=c²
c≈19
they are about 19 feet apart.
