Answer:
-2
Step-by-step explanation:
The equation of the line is written in y=mx+c form, where m is the gradient and c is the y-intercept.
In this case, your m is a -2 and your c is a -3.
Hence the gradient of the line is -2.
SA=(a+b+c) h+bh
=(5+12+13)*4+5*12
=20*4+60
=80+60
=140 cm squared
Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin
Sin P = 0.3
P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
Answer:
Step-by-step explanation:
arc between cars = 360°/25 = 14.4°
θ = 14.4° × π/180 ≅ 0.2512 radian
r = 150/2 = 75 ft
s = rθ = 75×0.2512 = 18.84 ft
area of circle = πr² = 75²π ≅ 17,662.5 ft²
area of sector = 17,662.5/25 = 706.5 ft²
Answer:
FG = 20 in
Step-by-step explanation:
∵ ABCD ≈ EFGH
∴ AD/EH = BC/FG
∵ AD = 45 in
∵ EH = 60 in
∴ BC = 15 in
∴ 45/60 = 15/FG
∴ FG = (60 × 15) ÷ 45 = 20 in
