It is c becase x<8 translates to x is less than 8
Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
<h3>What is the
distance formula?</h3>
Distance formula for calculating the distance between two points on a coordinate plane is given as:
.
Let,
(-3, 4) = (x1, y1)
(2, -3) = (x2, y2)
Plug in the values

c = 8.6 units.
Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
Learn more about distance formula on:
brainly.com/question/661229
Set up the equation:
4(8.75x-2)=97
35x-8 =97
35x =97+8
35x =105
x. =3
The value of x is 3.
Horizontal is called the x-axis and the vertical is called the y-axis