Answer:
800
Step-by-step explanation:
Hope it helps you out
-sammy
Answer: He could have played more than 3 games.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality.
I golf club charges $10 to join and $5 per game: So, the cost of playing golf is equal to $10 (joining price) plus the product of the number of games played (x) and the price per game (5).
That expression must be higher than 25, since john paid more than $25.
Mathematically speaking
10+ 5 x > 25
Solving for x
5x >25-10
5x >15
x >15/5
x> 3
He could have played more than 3 games, since his cost was higher ( not equal or higher) than 25.
Answer:
Step-by-step explanation:
Given:
∠C ≅ ∠E
Statements Reasons
1). ∠C ≅ ∠E 1). Given
2). ∠ABC ≅ ∠DBE 2). Vertically opposite angles
3). ΔABC ~ ΔDBE 3). By AA postulate of similarity.
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
<u>Answer:-</u>The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
<em>Additional</em><em> comment</em><em>:</em>
- The conjugate of a+ib is a-ib and
- i = -1
- (a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².
The area of triangular piece of land in acres is 1 acre.
Further Explanation:
In order to find the area of the triangular piece of land in acres we have to find the area in yards
<u>Given:</u>
Base = 121 yards
Height = 80 yards
So, the area of triangular piece of land in acres is 1 acre.
Keywords: Area of triangle, conversion from yards to acre
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