Answer:
-1
Step-by-step explanation:
using PEDMAS(parentheses, exponents, division, multiply, addition, subtraction) to solve the problem
First, multiply (-5)(2) and 2(-3)
(-5)(2) – 2(-3) + 3
=-10-(-6)+3
=-10+6+3
add -10+6
-4+3
Add -4+3
-4+3
=-1
Therefore, (-5)(2) – 2(-3) + 3 is equal to -1
Answer:
HT = 17 cm
<T = 58°
<H = 32°
Step-by-step explanation:
✔️Find HT:
Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²
Where,
a = HW = 15 cm
b = WT = 8 cm
c = HT
Plug in the values:
HT² = 15² + 8²
HT² = 289
HT = √289
HT = 17 cm
✔️Find <T by applying trigonometric ratio formula:
Recall: SOH CAH TOA
Reference angle (θ) = <T
HW = 15 cm = Opposite side length
WT = 8 cm = Adjacent side length
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos T = 8/15
T = 
T ≈ 58°
✔️Find <H:
Sun of interior angles of a triangle = 180°
Therefore,
m<H + m<T + m<W = 180°
Substitute
m<H + 58° + 90° = 180°
m<H + 148° = 180°
m<H = 180° - 148°
m<H = 32°
I hope this helps it's the same process as it would be without the decimal
Answer:
400
Step-by-step explanation:
u = 50 km/hr
v = 100 km/hr
d = 300 km
b = 200 km/hr
= b*d/(u+v)
= 200* 300/(50+100)
= 400