Answer:
A) 3 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Surface Area of a Sphere: SA = 4πr²
- Diameter: d = 2r
Step-by-step explanation:
<u>Step 1: Define</u>
SA = 23 in²
<u>Step 2: Find </u><em><u>r</u></em>
- Substitute [SAS]: 23 in² = 4πr²
- Isolate <em>r </em>term: 23 in²/(4π) = r²
- Isolate <em>r</em>: √[23 in²/(4π)] = r
- Rewrite: r = √[23 in²/(4π)]
- Evaluate: r = 1.35288 in
<u>Step 3: Find </u><em><u>d</u></em>
- Substitute [D]: d = 2(1.35288 in)
- Multiply: d = 2.70576 in
- Round: d ≈ 3 in
You can put the 2 circles together to get 1 circle
so basically we just find
area of rectangle taht is 8ft by 18ft
and area of ciecle with disameter of 8
area rectangle=18 times 8=144 square feet
area of ciecle=pir^2
d/2=r, 8/2=4
area=pi4^2=16pi, pi=3.14 so then
50.24
toal is rectangle+circles=144+50.24=194.24 suare feet
rounded
194 square feet
Answer:
78 degrees
Step-by-step explanation:
All inner angles of a triangle make a sum of 180 degrees. Given 41 and 61 add up to 102, that leaves 78 degrees left to make 180
Answer:

Step-by-step explanation:
Given



Required
Find the height of the prism
Volume (V) is calculated as:

Substitute values for V, L and W

Make H the subject



Divide:


The height of the prism is: 
<h3>
Answer: n - 10 which is choice C</h3>
Let's use an example. If Nathaniel earned $15 on Tuesday, and earned $10 less on Wednesday, then 15-10 = 5 dollars is the amount he earns on Wednesday.
Now let's say he earned $27 on Tuesday, and still earned $10 less the next day, meaning that he earns 27-10 = 17
Whatever he earns on Tuesday, subtract off 10. That's the rule to follow for this problem.
(amount earned on Tuesday) - 10 = amount earned on Wednesday
If n reprsesent the placeholder for "amount earned on Tuesday", then we can rewrite that equation as
amount earned on Wednesday = n - 10
In short, whatever 'n' is, subtract 10 off it. In the examples above, I used n = 15 and n = 27.
note: the order of subtraction matters. The expression n-10 is not the same as 10 - n. If you subtract in the wrong order you may get a negative value (eg: 10 - 17 = -7), but he can't earn a negative amount of dollars.