Answer:
538.3
Step-by-step explanation:
First of all find the area of the rectangle
L*W
15*30
450
Now find the area of semi circle
1/2
Since radius is half a diameter divided 15 by 2=7.5
1/2
7.5 times 7.5= 56.25
1/2*3.14*56.25
56 times 3.14 is 176.625 now multiply 176.625 by 1/2
Answer is 88.3125
Now add 450 to 88.3125
Final answer: 538.3125
Answer:
Equivalent expression of
is, 
Step-by-step explanation:
The distributive property says that:

Given the expression: 
Apply the distributive property:

Simplify:

Therefore, the equivalent expression of
is, 
Alright
for a 45-45-90 triangle, if the legs are x then the hytponuse is x√2
so LM=x√2 is right
NM=x
also, tan=oposite side/adjacent side
so that would be LN/MN or MN/LN=x/x=1
so that would be tan(45)=1
so you want to check the 1st one, 3rd one and 5th one
NM=x
LM=x√2
tan(45°)=1 are the answers
It take 23 mins for the drive
He needs to reach the airport by a quarter before 6
a quarter before 6 = 5.45
So he needs to leave 23 mins before 5.45
23 mins before 5.45 = 5.22
- Diameter of cylinder is <u>1</u><u>4</u><u> </u><u>units.</u>
<h3><u>Explamation </u><u>:</u></h3>
<em><u>Given </u></em><em><u>:</u></em><em><u>-</u></em>
- Volume of cylinder = 245π cubic units
- Height of cylinder = 5 units
<em><u>To </u></em><em><u>Find </u></em><em><u>:</u></em><em><u>-</u></em>
<em><u>Solution </u></em><em><u>:</u></em><em><u>-</u></em>
<em>Firstly </em><em>lets </em><em>calculate </em><em>radius </em><em>of </em><em>cylinder </em><em>by </em><em>using </em><em>formula </em><em>of </em><em>volume </em><em>of </em><em>cylinder,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>
- Volume of cylinder = πr²h
<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>
➸ 245π = π × r² × 5
<em>By </em><em>cutting </em><em>'π' </em><em>with </em><em>'π' </em><em>we </em><em>get;</em>
➸ 245 = r² × 5
➸ 245/5 = r²
➸ 49 = r²
➸ √(49) = r²
➸ √(<u>7</u><u> </u><u>×</u><u> </u><u>7</u><u>)</u> = r²
➸ 7 = r
➸ r = 7 units
- <u>Hence,</u><u> </u><u>radius </u><u>of </u><u>cylinder </u><u>is </u><u>7</u><u> </u><u>units.</u>
<em>Now </em><em>lets </em><em>calculate </em><em>its </em><em>diameter,</em><em> </em><em>as </em><em>we </em><em>know </em><em>that;</em>
<em>Putting </em><em>all </em><em>values </em><em>we </em><em>get;</em>
➸ Diameter = 7 × 2
➸ Diameter = 14 units
- <u>Hence,</u><u> </u><u>diameter </u><u>of </u><u>cylinder </u><u>is </u><u>1</u><u>4</u><u> </u><u>units.</u>