X=-8,3.
divide all terms by the two in the first term to get x^2+5x-24=0. Then find the factors. To do so, find what two numbers can be multiplied to get 24, and whether those two numbers can be added or subtracted to get the middle term (5). Since 8x(-3)=24 and 8-3=5, (x+8) and (x-3) are the factors. Then set the factors equal to zero. Add or subtract these numbers to the other side of the equation and you then get x=-8,3. These are the roots.
The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.
The number of student tickets is 175 and the number of adult tickets is 425.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
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Given that:-
- A concert manager counted 600 ticket receipts the day after a concert. The price for a student ticket was $13.50, and the price for an adult ticket was $17.00. The register confirms that $9,587.50 was taken in
Suppose the number of the student ticket is St and adult are At.
St + At = 600
St = 600 - At
Another expression for the total amount will be given as:-
13.5St + 17At = 9587.50
Put the value of St in the equation to find the value of At.
13.5( 600 - At) + 17At = 9587.50
8100 - 13.5At +17At = 9587.5
17At - 13.5 At = 9587. 5 - 8100
3.5 At = 1487.5
At = 425
St + At = 600
St = 600 - At = 600 - 425 = 175
Therefore the number of student tickets is 175 and the number of adult tickets is 425.
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Isosceles but not equilateral.
The triangle has two congruent angles making it isosceles.
Answer: 4.732
Step-by-step explanation:
