AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )

Complete the square to get


Now let


and the intersection can be expressed as a function of
,

with
.
Answer:
Noun. 1. true statement - a true statement; "he told the truth"; "he thought of answering with the truth but he knew they wouldn't believe it" truth.
Answer: the number is 369
Step-by-step explanation:
Let the missing number be y
8/9 × y = 328
8/9y = 328
Divide both sides by 8/9
y = 328 ÷ 8/9
y = 328 × 9/8 (multiply the two numerators: 328 x 9= 2952
Multiply the denominator by 1: 8 x 1= 8
Therefore y = 2952/8
y = 369
I hope this helps.
Answer:
- 8
Step-by-step explanation:
substitute q = - 14 and r = - 6 into the expression
q - r
= - 14 - (- 6)
= - 14 + 6
= - 8