To find H we need to divide 104/13 which is 8 and 13 x 8 = 104.
Hope I helped.
The height of mast is 19.21 feet
<em><u>Solution:</u></em>
Given that, 25-ft rope is stretched from the top of a ship's mast to a cleat on the deck
The cleat is 16 ft from the base of the mast
To find: height of mast
The ship mast, deck and base forms a right angled triangle
The figure is attached below
AC = length of rope = 25 feet
BC = distance between base of mast and cleat = 16 feet
AB = height of mast = ?
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle
By above definition for right angled triangle ABC,
Thus height of mast is 19.21 feet
Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
Answer:
Step-by-step explanation:
From the information on 60 students we write frequency distribution as
x 1 2 3 4 5 6 7 total
f 13 22 15 6 3 0 1 60
C 13 35 50 56 59 59 60
xf 13 44 45 24 15 0 7 148
x^2f 13 88 135 96 75 0 49 456
Mean = 2.67
Var = 445.92
Std dev = 21.21
I quartile = 2
III quartile = 3
20% have atmost 1
Answer:
36
Step-by-step explanation:
fundamental counting principle:
2 x 3 x 6 = 36