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Sonbull [250]
3 years ago
9

:

Mathematics
2 answers:
ehidna [41]3 years ago
5 0
E. Each ticket costs $15 and Gina has to buy 5 tickets for her and her friends. $w is the total cost of 5 tickets that cost $15 each.
poizon [28]3 years ago
3 0
Each ticket cost $15
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-(18+4x)=8 hope you can help
Step2247 [10]
-1(18+4x)=8
Then you distribute
-18-4x=8
-4x=26
X= -6.5
4 0
3 years ago
Read 2 more answers
The perimeter of a semicircle is 5.14 feet. What is the semicircle’s area?
hammer [34]
\bf \textit{circumference of a semi-circle}\\\\
C=\pi r\qquad 
\begin{cases}
r=radius\\
-----\\
C=5.14
\end{cases}\implies 5.14=\pi r\implies \boxed{\cfrac{5.14}{\pi }=r}\\\\
-------------------------------\\\\
\textit{area of a semi-circle}\\\\
A=\cfrac{\pi r^2}{2} \implies A=\cfrac{\pi }{2}r^2\implies A=\cfrac{\pi }{2}\left( \boxed{\cfrac{5.14}{\pi }} \right)^2
\\\\\\
A=\cfrac{\pi }{2}\implies \cfrac{5.14^2}{\pi ^2}\implies A=\cfrac{26.4196}{2\pi }\implies A=\cfrac{13.2098}{\pi }
5 0
2 years ago
2x-7=117 what is the value of x
Tcecarenko [31]

2x - 7 = 117

Add 7 to both sides

7 + 2x - 7 = 117 + 7

At the left hand side 7 will cancel 7

At the right hand side 7 will add up

2x = 124

Divide through by 2

x =  \frac{124}{2}

simplify the fraction

x = 62

4 0
2 years ago
Prove the identity (n-5)^2 - (6n-35)=(n-10)(n-6)
elena-14-01-66 [18.8K]

Answer:

(n-5)^2 - (6n-35)=(n-10)(n-6)

-----------

  • n²-10n+25-6n+35 =
  • n²-16+60 = n²- 10n - 6n + 60 =
  • n(n-10) - 6(n-10) =
  • (n-10)(n-6)
7 0
3 years ago
Find the missing lengths: LK=15 and KH=9, find KI and HI.
Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

3 0
3 years ago
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