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
Answer:
m<A = 30 degrees.
Step-by-step explanation:
m < C in triangle ABC = m < C in EDC so
x + 13 + 42 + x + 13 = 180
2x = 180 - 13 - 13 - 42
2x = 112
x = 56.
So m < C = 56+13 = 69.
m < B = m < D = 81
M < A = 180 - 69 - 81
= 180 - 150 = 30.
Answer:
its 11/6
Step-by-step explanation:
GCD of 11 and 6 is 1
Divide both the numerator and denominator by the GCD
11 ÷ 1
6 ÷ 1
Reduced fraction:
11/6
Answer:
When a figure or shape is dilated , the size of the figure either enlarges or shrank without changing its actual shape.
Shape or figure after dilation is similar to original figure.
If the scale or factor of dilation is greater than 1 the shape enlarges.
If the scale factor lies between 0<scale factor<1, then the figure shrinks i.e size reduces.
So out of all the options given →It has the same shape as the original and is smaller than the original figure.
So whole ml's
30 mls
find what 30 is evenly divisble by
factor 30
30=2 times 3 times 5
therefor
30 is divisble by 2,3,5,6,10,15
so he can divide the glass into 2 sevings which is 30/2=15 ml in each
servings ml fraction
2 15 15/30=1/2
3 10 10/30=1/3
5 6 6/30=1/5
6 5 5/30=1/6
10 3 3/30=1/10
15 2 2/30=1/15
