Answer:
111°
Step-by-step explanation:
the angle is question is an alternate-interior angle with the one labeled as 111° and alt-int angles are congruent
3/4 of $60 = $45 for the coat
60 - 45 = $15 left
1/2 of $15 = $7.50 for the skirt
15 - 7.50 = $7.50 left
Answer:
56/65
Step-by-step explanation:
First, we know that cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
We know what sin(a) and sin(b) are, and to get cos(a), we can take the equation sin²a + cos²a = 1
Thus,
(12/13)² + cos²a = 1
1 - (12/13)² = cos²a
1- 144/169 = cos²a
cos²a = 25/169
cos(a) = 5/13
Similarly,
(3/5)² + cos²b = 1
1 - (3/5)² = cos²b
1 - 9/25 = cos²b
cos²b = 16/25
cos(b) = 4/5
Our answer is
cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
cos(a-b) = (5/13)(4/5) + (12/13)(3/5)
cos(a-b) = 20/65 + 36/65
cos(a-b) = 56/65
Answer:
12.7
Step-by-step explanation:
12.7
Basically u are gonna wanna use pythagoras first
BC = √(12^2 - 6^2) = √(144 - 36) = √(108) = 10.39230485
Also the Side Angle Side rule comes into play use the following
BC/sin(55) = CD/sin(90) <----- angle
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD
Answer:
units.
Step-by-step explanation:
Let x be the width of rectangle.
We have been given that the length of garden is 2 units more than 1.5 times it’s width. So length of the rectangle will be: 
.
To find the length of total fencing we need to figure out perimeter of rectangle with width x and length .
Since we know that perimeter of a rectangle is two times the sum of its length and width.
Upon substituting length and width of garden in above formula we will get,
Upon using distributive property we will get,
Therefore, the length of required fencing will be units.
