Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
Step-by-step explanation:
area of a cylinder = (area of a circle) times the (height)
area of a cylinder = π radius² × height
radius = 57 cm height = 40 cm
area of a cylinder = π 57² cm² × 40 cm
= π (57² × 40) cm³
= π ( 57 × 57 × 40) cm³ 57x57 = 399 + 2850 = 3249
= π (3249 × 40) cm³
= 129969π cm³ π = 3.14
= 129969 × 3.14 cm³
= 408,074.4 cm³ < ----------------- Final Answer
Answer: OPTION C.
Step-by-step explanation:
The missing options are:
In order to solve this exercise you need to remember the following:
1. The Distributive property states that:
2. The multiplication of signs:
In this case the exercise gives you the following equation:
Since you need to solve for the variable "x" in order to find its value, the first step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.
Then, you must multiply everyting inside the parentheses by 
.
Therefore,based on the explanation, you know that the correct use of the Distributive property is:
Total surface area
=2 ×(area of triangle) +( area of rectangle 1) + (area of rectangle 2) + (area of rectangle 3)
2×(1/2 × 16 ×12) + (10×12)+(16×10)+(20×10)
=672 cm²
Answer:
z=9/2
Step-by-step explanation:
36-8z=0
36=8z
z=36/8
z=9/2
