Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratio of corresponding sides are equal
(a)
=
, substitute values
=
( cross- multiply )
13.23AB = 111.132 ( divide both sides by 13.23 )
AB = 8.4
(b)
=
, substitute values
=
( cross- multiply )
6.3DF = 54.243 ( divide both sides by 6.3 )
DF = 8.61
Answer:
x = -10; x = 7
Step-by-step explanation:
|2x + 3| - 6 =11
Add 6 to each side.
|2x + 3| = 17
Apply the absolute rule: If |x| = a, then x = a or x = -a.
(1) 2x + 3 = 17 (2) 2x + 3 = -17
Subtract 3 from each side
2x = 14 2x = -20
Divide each side by 2
x = 7 x = -10
<em>Check:
</em>
(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11
|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11
|17| - 6 = 11 |-17| - 6 = 1
1
17 - 6 = 11 17 - 6 = 11
11 = 11 11 = 11
It’s not, and the table would look like this:
Rental time: 1,2,3
Cost $: 37,62,87
Answer:
Step-by-step explanation:
The angle we are given is 2° and we are given the opposite leg, 135 ft. We are trying to find the hypotenuse length- the diagonal distance from the ship to the lighthouse.
So, we use SOHCAHTOA with sine:

Keep in mind that the angle is in degrees. Also, the number is large because of the extremely short angle.