9514 1404 393
Answer:
1.67 m, 8.33 m
Step-by-step explanation:
If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...
1 : (1+5) = 1 : 6
The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.
The lengths of the pieces are 8.33 m and 1.67 m.
Answer:
Step-by-step explanation:
Given
Required
Find m
By comparison:
Add 3 to both sides
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
Answer:
x=3
Step-by-step explanation:
x^2 = 6x - 9
Subtract 6x from each side
x^2 -6x = -9
Add 9 to each side
x^2 -6x+9 = 0
Factor
what 2 numbers multiply to 9 and add to -6
-3*-3 = 9
-3+-3 =-6
(x-3)(x-3) = 0
Using the zero product property
x-3 =0 x-3=0
x=3 with multiplicity 2
Answer:
24
Step-by-step explanation:
1/2(x1+x2)c x1=3 , x2=5 , c=6
:- 1/2(3+5)6 ( BODMAS)
:- 1/2(8)6 divide 8 by 1/2
:- (4)6 multiply both of them and the result = 24
