Let the numbers be x and y.
x*y=HCF*LCM=6*60=360
thus
y=360/x
next we find the list of combinations of x and y and test if they satisfy the conditions above:
(6,60),(12,30),(18,20),(24,15)
out of the above, only (6,60) and (12,30) satisfy both conditions. Thus our answer is:
(6,60) or (12,30)
Answer:
Tell whether the following equations represent a linear function.
<em><u>10x + 2y = 4--linear </u></em><em><u>equation✓</u></em>
−x² + 3y = 19--quadratic equation
<em><u>6x + 1/2y = 3--linear </u></em><em><u>equation✓</u></em>
Answer:
The probability is 169/2652
Step-by-step explanation:
The number of cards in a deck of cards is 52
In each deck of cards, there are 13 black cards and 13 spade cards
The probability of selecting a spade card will be;
13/52 = 1/4
Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51
So the probability of the second card being a black card if the first is spade will be ;
13/52 * 13/51
= 169/2,652
Answer:
Step-by-step explanation:
Problem One
All quadrilaterals have angles that add up to 360 degrees.
Tangents touch the circle in such a way that the radius and the tangent form a right angle at the point of contact.
Solution
x + 115 + 90 + 90 = 360
x + 295 = 360
x + 295 - 295 = 360 - 295
x = 65
Problem Two
From the previous problem, you know that where the 6 and 8 meet is a right angle.
Therefore you can use a^2 + b^2 = c^2
a = 6
b =8
c = ?
6^2 + 8^2 = c^2
c^2 = 36 + 64
c^2 = 100
sqrt(c^2) = sqrt(100)
c = 10
x = 10
Problem 3
No guarantees on this one. I'm not sure how the diagram is set up. I take the 4 to be the length from the bottom of the line marked 10 to the intersect point of the tangent with the circle.
That means that the measurement left is 10 - 4 = 6
x and 6 are both tangents from the upper point of the line marked 10.
Therefore x = 6
In the next 25 years, Larry will be 35 years old, while his sister will be 3 years less than him which is 32 years old for his sister, since his sister is 3 years younger.