Answer:
11.99 ft
Step-by-step explanation:
The formula for the volume of a cyl. of radius r and height h is V = πr²h.
Solving this immediately for h yields:
V
h = ----------
πr²
Inserting the known quantities results in:
V 1356.48 ft³
h = ---------- = ---------------------- Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft
πr² 3.14159 (6 ft)²
= 11.994 ft
The height of the cyl. is 11.99 ft (to the nearest hundredth foot)
<span>the correct equation is
- 4j² + 3j - 28 =0
ax² + bx + c,
a = -4, b=3 c =- 28.
The discriminent D = b² - 4.a.cD = 3² - 4(-4)(-28)D = -439
If D ≥ 0 there are either 2 roots or one double if = 0)if D< 0, there are no real roots (but 2 imaginary roots)Since D < 0, then there is no real roots
The answer there is no real roots</span>
The probability of inductees who are female will be 0.155.
<h3>How to illustrate the probability?</h3>
Question: What proportion of inductees have been female or have included female members?
From the information, 303 groups or individuals and forty-seven of the inductees have been female or have included female members.
Therefore, the proportion will be:
= 47/303
= 0.155
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Answer:
Step-by-step explanation:
let the consecutive even numbers be 2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.
2n(2n+2)-(2n-2)(2n+4)
=4n²+4n-(4n²+8n-4n-8)
=4n²+4n-4n²-8n+4n+8
=8
