Answers Fall 24 GMS Geometry Concepts and Connections BLaw of Sines (Sec 8-3)

Law of Sines (Sec 8-3) — Unit test Answers

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A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

5.2

20.7

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Which graph shows the solution set of the compound inequality or

Option

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

14x – 8

14x + 4

4x – 8

4x + 4

Which statement verifies that f(x) and g(x) are inverses of each other?

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and

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and

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

5(4 + 4) – 6

5(5(4) – 6) – 6

54 – 6 + 54 – 6

5(4) – 6 + 5(4) – 6

Which graph shows all the values that satisfy

Option

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

–18

–4

Celo used the simple interest formula to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

uppercase P = StartFraction uppercase A Over 1 + r t EndFraction

uppercase P = StartFraction 1 + r t Over uppercase A EndFraction

uppercase P = uppercase A minus (1 + r t)

uppercase P = uppercase A + (1 + r t)

Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?

1.6 n greater-than-or-equal-to 56

1.6 n less-than-or-equal-to 56

56 n less-than-or-equal-to 1.6

56 n greater-than-or-equal-to 1.6

If the function has an inverse function, which statement must be true?

b not-equals 0

Option

Which function is the inverse of ?

f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths

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The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).

On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).

On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).

On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

all real values of x

all real values of x except x = 5

all real values of x except x = –5

all real values of x except x = 5 and x = –5

1.6 n greater-than-or-equal-to 56

1.6 n less-than-or-equal-to 56

56 n less-than-or-equal-to 1.6

56 n greater-than-or-equal-to 1.6

Which graph shows the solution set of the compound inequality or

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.

The formula to determine energy is . What is the formula solved for v?

v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot

v = 2 uppercase E minus m

v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot

v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot uppercase A minus 36 EndRoot

x = plus-or-minus StartRoot uppercase A + 36 EndRoot

The formula for the volume of a pyramid is Which of the following equations is equivalent to the given formula?

uppercase B = StartFraction 3 uppercase V Over h EndFraction

uppercase B = StartFraction 3 h Over uppercase V EndFraction

uppercase B = StartFraction uppercase V minus one-third Over h EndFraction

uppercase B = StartFraction uppercase V + one-third Over h EndFraction

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

The rocket is traveling six times as fast when t = 3 than it is when t = 1.

The rocket is at a greater height when t = 3 than it is when t = 1.

The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.

The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.

Which function is the inverse of ?

f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths

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Law of Sines (Sec 8-3) — Unit test Answers

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