Answer:
Step-by-step explanation:
3n+8=35
subtract 8 on both sides
3n=27
n=9
Answer:
Step-by-step explanation:
5.
6.
7.
8.
9.
10.
Answer: The group wants to raise $1,200.
Step-by-step explanation:
We can use a proportion to solve.
part/whole = percent/100
If we insert the values:
276/x = 23/100
We can cross multiply.
276 x 100 = 27,600
27,600 / 23 = 1,200
$1,200 is the answer.
answers
1) 70
2) 3,840
3) 24
4) 72
<u>Explanation</u>
Q1
The surface area of a cone is given by;
S.A = 2Πrl + Πr²
Where r is the radius of the base and l is the lateral height.
Πr² = area of the base = 20 in²
2Πrl = Area of the lateral surface
= 2.5 × 20
= 50
Area of the cone = 50 + 20
= 70 in²
Q2
The sides of the Pythagorean triangle with legs of 12 and 16.
The 3rd side will be;
c = √(12² + 16²)
= √400 = 20
Volume = 12 × 16 × 20
= 3,840
Q3
The volume of a cone is given by;
volume = 1/3 Π r² h
This shows that the volume of a cone is a third the volume of the cylinder.
∴ Volume of the cylinder = 12 × 3
= 24 ft³
Q4
The volume of any regular figure is;
Volume = base area × height
When the dimensions area usually 3. Let these dimensions be x, y and z.
∴ volume = x × y × z = 9
Doubling the dimensions;
Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9
= 8 × xyz = 8 × 9
= 72 ft²
Subtract the sides of the equation minus 3
Divided the sides of the equation by 2
So ;
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And we're done.
Thanks for watching buddy good luck.
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