Smaller circle:
diameter = 9 ft
radius = diameter/2 = (9 ft)/2 = 4.5 ft
A = pi(r^2) = 3.14159 * (4.5 ft)^2 = 63.62 ft^2
Larger circle:
diameter = 20 ft
radius = diameter/2 = (20 ft)/2 = 10 ft
A = pi(r^2) = 3.14159 * (10 ft)^2 = 314.159 ft^2
Difference = larger are - smaller area
Difference = 314.16 ft^2 - 63.62 ft^2 = 250.54 ft^2
Answer: About 251 ft^2
Answer:
![\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7Blwh%7D%7B3%7D%20%5Crightarrow%20h%20%3D%20%5Cfrac%7B3V%7D%7Blw%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em />
<em />
<em />
<u>Step 2: Solve for </u><em><u>h</u></em>
- [Multiplication Property of Equality] Multiply 3 on both sides:
![\displaystyle V = \frac{lwh}{3} \rightarro 3V = lwh](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7Blwh%7D%7B3%7D%20%5Crightarro%203V%20%3D%20lwh)
- [Division Property of Equality] Divide lw on both sides:
![\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7Blwh%7D%7B3%7D%20%5Crightarrow%20h%20%3D%20%5Cfrac%7B3V%7D%7Blw%7D)
Answer:
c = 4
Step-by-step explanation:
In g(x)=cx-3 when x is set to 0.5 , g(x)= -1.
We can solve for "c" when it is the only variable in the equation.
Substitute x for 0.5 and g(x) for -1. Isolate "c" to solve by doing reverse operations.
g(x) = cx - 3
g(0.5) = 0.5c - 3 Substitute x=0.5
-1 = 0.5c - 3 Substitute g(0.5) = -1
-1 + 3 = 0.5c - 3 + 3 Add 3 to both sides to start isolating c
2 = 0.5c
2/0.5 = 0.5c/0.5 Divide both sides by 0.5 to isolate c
4 = c Value of c
c = 4 Standard formatting puts the variable on the left side
Therefore the value of c if g(0.5)=-1 is 4.
Answer:
A cofunction is whenever A and B are completmentary angles.
Step-by-step explanation:
<h3>Answer: Choice B) 8.57</h3>
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Explanation:
The triangles are similar through the AA (angle angle) similarity rule. Note how the angle markers correspond and match up. Example: angle C and angle F both have triple angle markers to indicate these angles are congruent.
The corresponding sides pair up to form equal fractions. AB and DE form AB/DE which is equal to AC/DF, as these two sides correspond as well.
Therefore: AB/DE = AC/DF
Let's plug in the given values and isolate x
AB/DE = AC/DF
11/7 = (15+x)/15 ...... substitution
11*15 = 7*(15+x) ....... cross multiply
11*15 = 7*15+7*x ...... distribute
165 = 105+7x
165-105 = 105+7x-105 ..... subtract 105 from both sides
60 = 7x
7x = 60
7x/7 = 60/7 ............ divide both sides by 7
x = 8.57142857142858
x = 8.57 ..... rounding to the nearest hundredth