Answer:
y^2 - 5y - 4
Step-by-step explanation:
So you want f(y) such that
(y^2-5y+1) - f(y) = 5
Subtract both sides by (y^2-5y+1):
-f(y) = 5 - (y^2-5y+1)
-f(y) = -y^2 + 5y + 4
f(y) = y^2 - 5y - 4
So the polynomial you are looking for is y^2 - 5y - 4
The angles must add to 180 degrees.
Since the angles are in the ratio 7:9:4, their measures are not 7, 9, and 4 since 7, 9, and 4 do not add to 180. If you multiply 7, 9, and 4 by the same number, the new numbers will be in the same ratio. Since we do not know what that number is, we can use x for it.
Multiply 7, 9, and 4 by x to get
7x, 9x, and 4x.
Now add them and set equal to 180.
Then solve for x.
7x + 9x + 4x = 180
20x = 180
x = 9
Now that we know x equals 9, substitute x with 9 and evaluate 7x, 9x, and 4x to find the actual angle measures.
7x = 7 * 9 = 63
9x = 9 * 9 = 81
4x = 4 * 9 = 36
The angles measure 63, 81, and 36 degrees.
Answer:
Step-by-step explanation:
Scale= length on drawing / actual length
Let the actual length b x
3:10=2/5/x
3/10=2/5x
Cross multiply
15x=20
x=4/3
The actual length is 4/3
Answer:
area of circle=πr²=1.3mi²
we have
area of sector=∅/360×πr²
0.7mi²×360=∅1.3
∅=0.7×360/1.3=193.846°×π/180=387.7 radian
112 km to 3 h
? km to 9h
112 * 9/3 = 336
answer: 336 km
