Answer:
102° and 78°
Step-by-step explanation:
let one angle be x then the other angle is
x + 10 ( 10 more than two-thirds the other angle )
A linear pair of angles sum to 180°, hence
x + x + 10 = 180
x + 10 = 180 ( subtract 10 from both sides )
x = 170
multiply both sides by 3 and divide by 5
5x = 510
x = 102
The 2 angles are x = 102° and
x + 10 = × 102 + 10 = 68 + 10 = 78°
As a check : 102 + 78 = 180 → correct
If I’m not mistaken it’s 99.75 dollars to cover her whole driveway
| u | = √(2² + (-1²)) = √5
| v | = √ ( 1² + (-8)² = √65
cos (u,v) = ( u * v ) / (| u | * | v |) =
(2 * 1 + ( -1 ) * ( - 8 )) / √5 √ 65 = (2 + 8) / √5 √65 = 10 / (√5 √ 65 )
The length of a larger diagonal:
d 1² = | u |² + 2 |u| |v| + | v |² = 5 + (2 √5 √65 * 10 / √5 √65 )+65
d 1² = 70 + 20 = 90
d 1 = √ 90 = 3√10
d 2² = 70 - 20 = 50
d 2 = √50 = 5√2
Answer:
The lengths of the diagonals are: 3√10 and 5√2 .
Answer:
a. 126 pie cm^3
Step-by-step explanation:
Area of a circle = pi*r²
Volume = area*height
(pi*r²)*14
Since your answers are with Pi omit the Pi and times 3² * 14 = 126 pie cm³
