Answer:
Gọi AH là đường cao kẻ từ A đến BC
Xét tam giác AHC vuông tại H
Suy ra AH = HC. cotA= 9.cot35° = 12,9
Xét tam giác AHB vuông tại H
Suy ra BH = AH.tanA = 12,9.tan61°=23,37
Ta có BC= HC+ HB= 9+23,27 =32,27
Diện tích tam giác ABC = 1/2 × AH ×BC= 1/2 ×12,9×32,27=208,1415
Answer:
0.6
Step-by-step explanation:
2×3x+4+4=12
6X+8=12
6x=12-8
6x=4
Divide by 6
X=0.6
Answer:
Equation of the line: 
.
Step-by-step explanation:
Let 
and 
denote the coordinates of these two points, respectively.
Calculate the slope 
of this line:
.
Notice that the slope is zero because the two points have the same 
-coordinates (
) even though their 
-coordinates are distinct (
.)
Equation for this line in point-slope form:
.
.
Rewrite and simplify to obtain the equation of this line in slope-intercept form:
.
The -term was eliminated because the slope was zero.
Last week, Christopher drove 480 miles
This week, Christopher drove 360 miles
The difference in miles this week compared to last week = 480 - 360 = 120 miles.
The percentage of decrease in miles compared to last week's = (Difference in miles ÷ Total miles last week) multiplied by 100 = (120 ÷ 480) x 100 = 0.25 x 100 = 25%
