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3 years ago

I’m confused on this one

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

Take a look at triangle OFG, whose hypotenuse is 13 and whose longer side is 12. Its shorter side is 5, via the Pythagorean Theorem. Thus, the width of the trapezoid is 5.

Then the area of the trapezoid is

A = (average of the lengths of the trapezoid)(width of trapezoid)

30+ 40

= -------------- * 5 = 35*5= 175 square units.

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IgorLugansk [536]

Answer:

The answer is 16.

Step-by-step explanation:

When you calculate the ratio of 42:28, you would get 3:2. divide 24 by 3, and you get 8. Then multiply 2 by 8 you get 16.

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3 years ago

A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 78 feet and then dr

QveST [7]

Answer:

14 feet below. the deck.

Step-by-step explanation:

That would be (20 + 78 - 85 +103 - 110 ) feet above the ground

= 6 feet above the ground.

That is 20 - 6 = 14 feet below the deck.

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3 years ago

(01.03 MC) Traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 125 mile

mariarad [96]

It should take 115 minutes

4 0

2 years ago

How do I solve this?

maksim [4K]

Answer:

Answer A represents this

x <= -3 ; x > 9

Step-by-step explanation:

Isolate x on each of the inequalities:

4 x + 4 <= - 8

subtract 4 from both sides

4 x <= - 12

divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)

x <= -3

This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.

The other inequality:

11 x - 11 > 88

add 11 to both sides

11 x > 99

divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)

x > 9

This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.

4 0

3 years ago

Recall the scenario about Eric's weekly wages in the lesson practice section. Eric's boss have been very impressed with his work

Solnce55 [7]

Answer:

$1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x$

2) D: x = [0, 24]

3) R: y = [0, 384]

4) see graph

Step-by-step explanation:

Eric's regular wage is $12 per hour for all hours less than 9 hours.

The minimum number of hours Eric can work each day is 0.

f(x) = 12x for 0 ≤ x < 9

Eric's overtime wage is $18 per hour for 9 hours and greater.

The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).

f(x) = 18(x - 8) + 12(8)

= 18x - 144 + 96

= 18x - 48 for 9 ≤ x ≤ 24

The daily wage where x represents the number of hours worked can be displayed in function format as follows:

$f(x)=\bigg\{\begin{array}{ll}12x&0\leq x$

2) Domain represents the x-values (number of hours Eric can work).

The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.

D: 0 ≤ x ≤ 24 → D: x = [0, 24]

3) Range represents the y-values (wage Eric will earn).

Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.

The minimum hours he can work in one day is 0.

f(x) = 12x

f(0) = 12(0)

= 0

The maximum hours he can work in one day is 24 (although unlikely, it is theoretically possible).

f(x) = 18x - 48

f(24) = 18(24) - 48

= 432 - 48

= 384

D: 0 ≤ y ≤ 384 → D: x = [0, 384]

4) see graph.

Notice that there is an open dot at x = 9 for f(x) = 12x

and a closed dot at x = 9 for f(x) = 18x - 48

6 0

3 years ago