Answer:
5
Step-by-step explanation:
Answer:
The Lateral Surface Area is 911.32 square unit and
Total Surface Area is 1361.7 square unit.
Step-by-step explanation:
For a given Cone
Radius (r) = 12
Height (h) = 21
<u>For Lateral Surface Area</u>
<h3>
<u>Formula</u><u>:</u> </h3>
A = πr√r² + h²
A = 3.14 × 12 × √(12)² + (21)²
A = 3.14 × 12 × √144 + 441
A = 3.14 × 12 × √585
A = 37.68 × 24.18
A = 911.32 square unit
Now,
<u>For</u><u> </u><u>Total</u><u> Surface Area</u>
<h3><u>Formula:</u></h3>
A = πrl + πr²
For Slant height (l)
l² = r² + h²
l² = (12)² + (21)²
l² = 144 + 441
l² = 585
l = 24.18
So,
A = πrl + πr²
A = πr(l + r)
A = 3.14 × 12 × (24.14 + 12)
A = 3.14 × 12 × 36.14
A = 1361.7 square unit
Thus, The <u>Lateral Surface Area</u> is 911.32 square unit and <u>T</u><u>otal Surface Area</u> is 1361.7 square unit.
<u>-TheUnknownScientist</u>
Answer:
Dimension => 10 m × 9.6 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = 96 m²
Circumference (C) = 39.2 m
Dimension =.?
Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:
Let L be the Lenght
Let B be the breadth
Area of a rectangle = L × B
96 = L × B ..... (1)
Circumference of rectangle = 2(L + B)
39.2 = 2(L + B) .... (2)
From equation 2, make L the subject
39.2 = 2(L + B)
Divide both side by 2
39.2 /2 = L + B
19.6 = L + B
Rearrange
L = 19.6 – B ....(3)
Substitute the value of L in equation 3 into equation 1
96 = L × B
L = 19.6 – B
96 = (19.6 – B ) × B
Clear bracket
96 = 19.6B – B²
Rearrange
B² – 19.6B + 96 = 0
Solving by factorisation
B² – 10B – 9.6B + 96 = 0
B(B – 10) – 9.6(B – 10) = 0
(B – 9.6)(B – 10) = 0
B – 9.6 = 0 or B – 10 = 0
B = 9.6 or B = 10
Substitute the value of B into equation 3:
L = 19.6 – B
B = 9.6
L = 19.6 – 9.6
L = 10
Or
L = 19.6 – B
B = 10
L = 19.6 – 10
L = 9.6
Since the length is always longer than the breadth,
Length (L) = 10 m
Breadth (B) = 9.6 m
Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:
Length (L) = 10 m
Breadth (B) = 9.6 m
Dimension =?
Dimension = L × B
Dimension = 10 m × 9.6 m
Given that the US population is approximately 308,000,000 in 2010 and that 6.5% of this population is under 5 years of age, we will know that number of children by multiplying 6.5% by 308,000,000. So the answer would be 20,020,000. So that is the number of children below 5 years old. Hope this helps.
Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
where m is the slope
Given from the question :
m = - 4
= 2
= 6
Substituting into the formula , we have :
Therefore :
(a) the equation of the line in point - slope form is
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give :
(c) the equation of line in standard form is ;
