Easy
rectangle and half circle
rectangle=9 times 3=27
circle
diamter is 9 so radius i s9/2=4.5
area=pir^2 or pi*4.5^2=20.25pi
halve that since it is 1/2 circle
10.125pi
add
27+10.125pi=
27+31.7925=
58.7925
rounded to 58.8
2nd option
Hello!
Answer:
![\boxed{14j+10}](https://tex.z-dn.net/?f=%5Cboxed%7B14j%2B10%7D)
Step-by-step explanation:
Distributive property: →→ a(b+c)=ab+ac
Order of operations stands for:
↓
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
*Left to right*
Please Excuse My Dear Aunt Sally!
First, you remove parenthesis.
6j+8j+5+5
Then, you add by the numbers from left to right.
6+8=14
14j+5+5
5+5=10
<u><em>14j+10 is the final answer.</em></u>
Hope this helps!
Have a nice day! :)
:D
-Charlie
Thanks!
Answer:
n = 1
Step-by-step explanation:
Solve for n:
-9 (6 - 4 n) = 2 (9 n - 12) - 12 n
2 (9 n - 12) = 18 n - 24:
-9 (6 - 4 n) = 18 n - 24 - 12 n
Grouping like terms, 18 n - 12 n - 24 = (18 n - 12 n) - 24:
-9 (6 - 4 n) = (18 n - 12 n) - 24
18 n - 12 n = 6 n:
-9 (6 - 4 n) = 6 n - 24
Expand out terms of the left hand side:
36 n - 54 = 6 n - 24
Subtract 6 n from both sides:
(36 n - 6 n) - 54 = (6 n - 6 n) - 24
36 n - 6 n = 30 n:
30 n - 54 = (6 n - 6 n) - 24
6 n - 6 n = 0:
30 n - 54 = -24
Add 54 to both sides:
30 n + (54 - 54) = 54 - 24
54 - 54 = 0:
30 n = 54 - 24
54 - 24 = 30:
30 n = 30
Divide both sides of 30 n = 30 by 30:
(30 n)/30 = 30/30
30/30 = 1:
n = 30/30
30/30 = 1:
Answer: n = 1
Answer:
<em>See below;</em>
Step-by-step explanation:
Consider the steps below;
![1. Measure of Angle 1 - m< 1 + m< 2 = 180, ( Considering They Form A Linear Pair ) m< 1 + ( 145 ) = 180,\\m< 1 = 35 degrees\\\\2. Measure of Angle 2 - m< 2 = m< 4, ( Considering They Are Vertical Angles ),\\m< 2 = 145 degrees\\\\3. Measure of Angle 3 - m< 3 = m< 1, ( Vertical Angles ),\\m< 3 = 35 degrees\\\\4. By Alternate Interior Angles Theorem - m< 5 = m< 3,\\m< 5 = 35 degrees\\\\5. By Vertical Angles Theorem - m< 6 = m< 4,\\m< 6 = 145 degree\\\\](https://tex.z-dn.net/?f=1.%20Measure%20of%20Angle%201%20-%20m%3C%201%20%2B%20m%3C%202%20%3D%20180%2C%20%28%20Considering%20They%20Form%20A%20Linear%20Pair%20%29%20%20m%3C%201%20%2B%20%28%20145%20%29%20%3D%20180%2C%5C%5Cm%3C%201%20%3D%2035%20degrees%5C%5C%5C%5C2.%20Measure%20of%20Angle%202%20-%20m%3C%202%20%3D%20m%3C%204%2C%20%28%20Considering%20They%20Are%20Vertical%20Angles%20%29%2C%5C%5Cm%3C%202%20%3D%20145%20degrees%5C%5C%5C%5C3.%20Measure%20of%20Angle%203%20-%20m%3C%203%20%3D%20m%3C%201%2C%20%28%20Vertical%20Angles%20%29%2C%5C%5Cm%3C%203%20%3D%2035%20degrees%5C%5C%5C%5C4.%20By%20Alternate%20Interior%20Angles%20Theorem%20-%20m%3C%205%20%3D%20m%3C%203%2C%5C%5Cm%3C%205%20%3D%2035%20degrees%5C%5C%5C%5C5.%20By%20Vertical%20Angles%20Theorem%20-%20m%3C%206%20%3D%20m%3C%204%2C%5C%5Cm%3C%206%20%3D%20145%20degree%5C%5C%5C%5C)
![\\\\\\6. By Corresponding Angles Theorem - m< 7 = m< 3,\\m< 7 = 35 degrees,\\\\7. By Corresponding Angles Theorem - m< 8 = m< 4,\\m< 8 = 145 degrees](https://tex.z-dn.net/?f=%5C%5C%5C%5C%5C%5C6.%20By%20Corresponding%20Angles%20Theorem%20-%20m%3C%207%20%3D%20m%3C%203%2C%5C%5Cm%3C%207%20%3D%2035%20degrees%2C%5C%5C%5C%5C7.%20%20By%20Corresponding%20Angles%20Theorem%20-%20m%3C%208%20%3D%20m%3C%204%2C%5C%5Cm%3C%208%20%3D%20145%20degrees)
<em>Thus, we derive such a solution;</em>
<em>m∠ 1 = 35°, m∠ 2 = 145°, m∠ 3 = 35° , m∠ 5 = 35° , m∠ 6 = 145° , m∠ 7 = 35° , m∠ 8 = 145</em>°
The estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders
<h3>How to determine the regression equation?</h3>
We have:
- Predictor variables = 3
- Variable 1 = Age
- Variable 2 = Mileage
- Variable 3 = Cylinders
The regression equation is estimated using:
Price = bo +b1 * Variable 1+ b2 * Variable 2 + b3 * Variable 3
Substitute the variable parameters
Price = bo +b1Age+ b2Mileage + b3Cylinders
Hence, the estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders
Read more about regression equation at:
brainly.com/question/25987747
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