Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term s

El cuadro de proporciones debe reflejar dimensiones que sean comparables a las del rectángulo original. Es decir, las medidas de los rectángulos adicionales deben multiplicarse por un factor de escala para hacer el aumento. Revisé cada medida para confirmar si era un múltiplo del rectángulo original.

Answer: 3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h multiplied by 3k results in 3hk, and h multiplied by 12.4 gives -12.4h.

So, the outcome is 3hk - 12.4h

Answer:

No solution

Step-by-step explanation:

Given: and  

Handle each inequality separately.

             Utilizing the subtraction property of inequalities

and

              Utilizing the addition property of inequalities

Thus, the solution to the combined inequality is the overlap of both solutions.

Refer to the attached image for the number line representation.

No solution

The triangle is positioned within the circle, with its vertices lying on the circle's edge - since the center of the circle is located on the hypotenuse, that hypotenuse serves as the diameter (D) of the circle.

:

D = 120 feet

:

Calculating the circumference of the circle gives: 22/7 * 120 = 377.14 feet.

The perimeter of the triangle is calculated as 120 + 60 + 103.92 = 283.92

:

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1) The combined distance around both circle and triangle totals 661.06 feet.

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2) The vertices for the triangle's central area must touch the circular pool - to find the center of the pool, draw perpendicular bisectors from two of the triangle's sides; where they meet is the center.

The distance from the center to any vertex of the triangular area represents the radius of the

circular pool.

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3) The intersection of the triangle's angle bisectors indicates the center of the shark tank.

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4) The pool's volume is calculated as ((π * 60^2) - area of triangle) * 4 =

(11314.285) - (1/2 * 103.92 * 60) * 4 = 32786.74 cubic feet.

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5) 8196.685 * x < 30000

x < 3.66 feet

The average depth needs to be below 3.66 feet

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Starting with the equation 4(3b + 2)² = 64, if we divide both sides by 4 we obtain (3b + 2)² = 16. By taking the square root of both sides, we derive two cases: (3b + 2) = 4 and (3b + 2) = -4. Solving each equation for b yields: 3b = 2 or 3b = -6, leading to b values of 2/3 and -2. Ultimately, the results specify that b = 2/3 and b = -2.