I hope this helps you
2 (B+4)=3
B+4=3/2
B=3/2-4
B=-5/2
A
using the Cosine rule in ΔSTU
let t = SU, s = TU and u = ST, then
t² = u² + s² - (2us cos T )
substitute the appropriate values into the formula
t² = 5² + 9² - (2 × 5 × 9 × cos68° )
= 25 + 81 - 90cos68°
= 106 - 33.71 = 72.29
⇒ t =
≈ 8.5 in → A
Answer:
Step-by-step explanation:
cartesian plane :
quadrant 1 : both x and y are positive
quadrant 2 : x is negative, y is positive
quadrant 3 : both x and y are negative
quadrant 4 : x is positive and y is negative
(-2,4)......we have x is negative and y is positive...so we are in quadrant 2
(3,-1)....we have x is positive and y is negative...in quadrant 4
(-1,0) ...if u have a 0 in ur points, they do not lie in any quadrant because they are located on an axis....this is located on axis x
(1,2)....both are positive....located in quadrant 1
(-3,-5)...both are negative.....quadrant 3
angle 1+ angle 2=180 supplementary angles add up to 180
angle 2=x assign angle a variable
angle 1= 3x-38 find equation for first angle
3x+x-38=180 set both angles added together equal to 180
4x-38=180 combine like terms
4x=218 add 38 to both sides
x=54.5 divide by 4
angle 2= 54.5
angle 2= (3x54.5)-38 plug back in and solve
angle 1= 125.5
Answer:
The answer to your question is $ 8591.04
Step-by-step explanation:
Data
height = 11.4 m
diameter = 12 m
cost = $20/ft³
Process
1.- Calculate the volume of the cone
Formula
Volume = 1/3 πr²h
Substitution
Volume = 1/3 (3.14)(12/2)²(11.4)
Simplification
Volume = 1/3(1288.66)
Volume = 429.55 m³
2.- Calculate the cost
$20 ----------------- 1 m³
x ----------------- 429.55 m³
x = (429.55 x 20)/ 1
x = $ 8591.04