Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Answer:
1,320 seconds or 22 minutes to walk 1 mile
Step-by-step explanation:
5280 feet (1 mile) ÷ 4 feet per second = 1,320 seconds or 22 minutes
There is an isosceles triangle.
The triangle is like two right triangles put together.
To find out the height of the triangle, we remove the other right triangle and we use the other triangle to find the height using the Pythagorean theorem.
Phytagoras Theorem :
b² = c² - a²
x² = 8² - (6÷2)²
x² = 64 - 3²
x² = 64 - 9
x² = 55
x = √55
So, the value of x is √55 (B)
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
Answer:
n = -14
Step-by-step explanation:
-3(n+9)=15
Distribute -3 to (n+9):
-3n - 27 = 15
Add 27 to both sides:
-3n = 42
Divide both sides by -3:
n = -14
