Gradient of line,m=(17-6)/(20-0)=11/20
finding equation of line using a point (20,17)
y-17=11/20(x-20)
y-17=(11/20x)-11
y=11/20x+(17-11)
y=(11/20)*x+6
Answer:
A. Area of ABCD = 240 
B. 60 cm
C. 36 cm
D. 50 cm
Step-by-step explanation:
Given: AB = 24cm BC = 10cm and AE = 13cm.
A. Since a rectangle is a 2 dimensional figure, it has no volume but area.
So that,
the area of the rectangle ABCD = length x width
= 24 x 10
= 240 
B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.
=
+ 
=
+ 
= 676
BD = 
= 26
BD = 26 cm
so that,
the circumference of BCD = 10 + 24 + 26
= 60 cm
C. To calculate the circumference of the BEC triangle,
AC = 26 cm, AE = 13 cm
CE = 26 - 13
= 13 cm
CE = 13 cm
The circumference of the BEC triangle = 13 + 13 + 10
= 36 cm
D. The circumference of the DEC triangle = 13 + 13 + 24
= 50 cm
Answer:
C) About 243 hits
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define
</u>
y = home runs
x = hits
[Best Line of Fit] y = 0.15x - 1.5
<em>We can use this to predict the average of the scatter plot.
</em>
home runs = y = 35
<u>Step 2: Solve for </u><em><u>x</u></em><u> hits</u>
-
Substitute [BLF]: 35 = 0.15x - 1.5
- Add 1.5 on both sides: 36.5 = 0.15x
- Divide 0.15 on both sides: 243.333 = x
- Rewrite: x = 243.333
Remember that this is a <em>prediction</em>. According to the best line of fit, we would need approximately ~243 to get 35 home runs.
Answer:
the directrix and focus the axis of symmetry (goes through the focus, at right angles to the directrix) the vertex (where the parabola makes its sharpest turn) is halfway between the focus and directrix.
Step-by-step explanation:
T=volume÷rate
this will cancel out gal and leave min
22000 gal ÷ 400 gal/min
55 min