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:
[25, 45,65]
Step-by-step explanation:
These are the common terms in A as well as B
Answer:
20/24. Simplified answer is 5/6
Step-by-step explanation:
5/8 divided by 3/4 is the same as asking 5/8 times 4/3
When dividing a number by a fraction, you can always just multiply by the fraction with its numerator and denominator switched!
So, now we have 5/8 times 4/3
Step 1: Multiply the numerators together. 5 times 4 = 20
Step 2: Multiply the denominators together. 8 times 3 = 24
Step 3: Put the new numerator over the new denominator. 20 over 24 is 20/24
Step 4: Simplify the fraction if necessary. 20 and 24 share a common factor of 4, so divide both the numerator and denominator by 4.
20 divided by 4 = 5
24 divided by 4 = 6
So, 20/24 is equal to 5/6.
Answer:
108
Step-by-step explanation:
Given that Joseph has 48 comic books.
As he sold 1/4 of his collection to his friend, so
The number of books, Josef sold = 1/4 x 48 = 12.
The number of remaining books, Josef has = 48 - 12 = 36.
As he brought twice the number of comic books as he has now, so,
the number of comic books, Josef brought = 2 x 36 = 72.
Now, total number of comic books, Josef has = 36 + 72 = 108.
