(1,2/3)(-1,-1)
slope = (-1 - 2/3) / (-1 - 1) = (-3/3 - 2/3) / (-2) = (-5/3) / -2 = -5/3 * - 1/2 = 5/6
y = mx + b
slope(m) = 5/6
(-1,-1)..x = -1 and y = -1
now we sub and find b, the y int
-1 = 5/6(-1) + b
-1 = - 5/6 + b
-1 + 5/6 = b
-6/6 + 5/6 = b
-1/6 = b
so ur equation is : y = 5/6x - 1/6
All the others are 90 degrees too
Step-by-step explanation:
In a parallelogram opposite angles are congruent. Also in a quadrilateral the sum of angles is 360 degrees. since their are two pairs of congruent angles you could make an equation and it would look like this: 180+2x =360. x would be 90 making every angle 90 degrees.
Hope it helps :)❤
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
__
The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The tower is about 50.1 meters tall. The guidebook is correct.
__
The distance from the base of the tower to the angle vertex is ...
d1 = h/tan(46°)
d2 = d1 +50 = h/tan(27°)
Then the height of the tower is ...
h/tan(46°) +50 = h/tan(27°)
50 = h(cot(27°) - cot(46°))
h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692
h ≈ 50.1544 . . . meters
The tower is more than 50 meters high.
Answer:
Step-by-step explanation:
From the given information:
The total number of wine = 9 + 10 + 12 = 31
(1)
The number of distinct sequences used for serving any five wines can be estimated by using the permutation of the number of total wines with the number of wines served.
i.e
= 
= 20389320
(2)
If the first two wines served = zinfandel and the last three is either merlot or cabernet;
Then, the no of ways we can achieve this is:
= 
= 665280
(3)
The probability that no zinfandel is served is computed as follows:
Total wines (with zinfandel exclusion) = 31 - 9 = 22
Now;
the required probability is:
= 0.1549
≅ 0.155
