Answer:
The unit rate in minutes per miles be 8.02 minutes per miles .
Step-by-step explanation:
Step 1. 26.2 miles/ 210 mins = x miles / 1min
1 * 26.2 / 210 = .12 miles / min
Step 2. 26.2. 0.13
÷210.
210. 1
(The amount miles ran in 1 minute is 0.13 miles.)
Step 3. 26.2/210= .125 miles per minute
210/26.2= 8.02 minutes per mile
Step 4. 1) Cross multiply. (26.2 = 210x)
2) Divide 210 from each side. (26.2/210 = .1247619048 , 210x/210 = x)
3) Round to the nearest 100th. (.12)
4) X=.12
5) .12 miles ran per minute
Answer:
missing element is 6
Step-by-step explanation:
Given
f(x) = x³ - 2 ( substitute x = 2 )
f(2) = 2³ - 2 = 8 - 2 = 6 ← missing element
ordered pair is (2, 6 )
Answer:
-1/3
Step-by-step explanation:
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:
x=1
y=1
Step-by-step explanation:
-3x+4=3x-2
-3x+3x+4=3x+3x-2
4=6x-2
4+2=6x-2+2
6=6x
x=1
y=3(1)-2
y=1
