Answer
Cameron forgot to do the same thing to the 9. Instead of dividing 3 by 3 and 9 by 3 he only divided 3 by 3.
Step-by-step explanation:
3/7 × 4/9
You can divide the 3 and 9 by 3 so you get 1/7 × 4/3.
Then you do 4 × 1 and 7 × 3.
Correct answer is 4/21
Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1
Answers:
area = 50.24 square yards
circumference = 25.12 yards
values are approximate
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Work Shown:
d = 8 is the diameter
r = 4 is the radius, half the diameter
pi = 3.14 approximately
C = 2*pi*r = circumference
C = 2*3.14*4
C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter
An alternative formula you can use is C = pi*d
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A = area of circle
A = pi*r^2
A = 3.14*4^2
A = 50.24 square yards is the area
Answer:
( x + 4 ) ( 3x + 1 )
Step-by-step explanation:
→ Identify the product, sum & factors
Product = 4
Sum = 13
Factors = 4 & 1
3x² + 12x + x + 4
→ Factorise 3x² + 12x and x + 4
3x² + 12x ⇔ 3x ( x + 4 )
x + 4 ⇔ 1 ( x + 4 )
→ Take out the ( x + 4 ) as a factor and ( 3x + 1 )
( x + 4 ) ( 3x + 1 )
Answer:
A. Definition of linear pair
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. Since angle on a straight line = 180°, angles of a linear pair sum up to 180°.
angles 1 and 4, angles 2 and 5, angles 3 and 6 are all linear pairs. Each pair = 180°.