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:
The answer is here
Step-by-step explanation:
https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/gtp--praxis-math--lessons--geometry/a/gtp--praxis-math--article--congruence-and-similarity--lesson
The intersection with the y axis occurs when x = 0.
We have then:
For f (x):
For g (x):
We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3
For h (x):
Therefore, the graph with the intersection with the largest y axis is h (x)
Answer:
the greatest y-intercept is for:
C. h(x)
There are 8 tenths in the sum. .65+.24 is .89. tenths are the first digit to the right of the decimal. 80 and 8x10=80
<span>-1<0
so use 2x+1
2(-1)+1=-2+1=-1
-
</span><span>F(-1) means "Evaluate F(x) when x=-1"
Since -1 is less than 0, this means that F(x) = 2x+1. This is because F(x) = 2x+1 when x < 0</span>
