Let x be the width
2x-3= length
(2x-3)(x)=14
2x^2-3x=14
2x^2-3x-14=0
(2x- 7)(x+2)=0
x=7/2 or x=-2
Since we know that negative values cannot exist in distance, we have to take 7/2 to as the correct answer.
The width would be 3.5 yards
Length= 2(3.5)-3
=4 yards
3.5 x 4 yards is the dimension of the rectangle
Hope I helped :)
Answer:
scalene triangle
Step-by-step explanation:
hshavsgtsusbevebbeush
Answer:
25 times .10 = 2.5 (22.5) 22.5-1.00= 21.5
Step-by-step explanation:
1. 103-22 = 81
2 10.2-3y+2x is already in simplest form
Answer:
16. Angle C is approximately 13.0 degrees.
17. The length of segment BC is approximately 45.0.
18. Angle B is approximately 26.0 degrees.
15. The length of segment DF "e" is approximately 12.9.
Step-by-step explanation:
<h3>16</h3>
By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.
For triangle ABC:
,- The opposite side of angle A
, - The angle C is to be found, and
- The length of the side opposite to angle C
.
.
.
.
Note that the inverse sine function here
is also known as arcsin.
<h3>17</h3>
By the law of cosine,
,
where
,
, and
are the lengths of sides of triangle ABC, and
is the cosine of angle C.
For triangle ABC:
,
, - The length of
(segment BC) is to be found, and - The cosine of angle A is
.
Therefore, replace C in the equation with A, and the law of cosine will become:
.
.
<h3>18</h3>
For triangle ABC:
,
,
, and- Angle B is to be found.
Start by finding the cosine of angle B. Apply the law of cosine.
.
.
.
<h3>15</h3>
For triangle DEF:
- The length of segment DF is to be found,
- The length of segment EF is 9,
- The sine of angle E is
, and - The sine of angle D is
.
Apply the law of sine:

.