Answer:
P (5 , 10)
Step-by-step explanation:
point A (1,4) and point D (7,13), AP/PD = 2:1
P (x,y) : x = x₁ + (a/(a+b) * (x₂-x₁)) y = y₁ + (a/(a+b) * (y₂-y₁)) .... a=2 b=1
x = 1 + 2/(2+1) * (7-1) = 5
y = 4 + 2/(2+1) * (13-4) = 10
P (5 , 10)
Answer:
x =15 + 30n
Step-by-step explanation:
8cos(12x)+4=-4
Subtract 4 from each side
8cos(12x)+4-4=-4-4
8cos(12x)=-8
Divide by 8
8/8cos(12x)=-8/8
cos(12x) = -1
Take the arccos on each side
arccos(cos(12x)) = arccos(-1)
12x = 180 degrees
But we can go around in a circle of 360 and get the same result
12 x = 180+360n where n is an integer
Divide each side by 12
x = 180/12 +360n/12
x =15 + 30n
Answer:
In short, Your Answer would be Option D) 25
Hope this helps!
Step-by-step explanation:
Answer:
The maximum number of children = 16
Explanation:
The greatest number of students who can get the fruit in this way (equally) will be equal to the highest common factor between the number of bananas and the number of apples.
Number of bananas = 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2
number of apples = 176 = 2 * 2 * 2 * 2 *11
We can note that:
the highest common factor = 2 * 2 * 2 * 2
the highest common factor = 16
This means that the maximum number of children to get both equally is 16
Hope this helps :)
A) Ang 1 + Ang 2 = 90
B) Ang 1 = Ang 2 + 20
B) Ang 1 -Ang 2 = 20 then adding this to equation A produces
2 Ang1= 110
Ang 1 = 55 degrees
Ang 2 =35 degrees
