3 years ago

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Mathematics

1 answer:

ELEN [110]3 years ago

3 0

Use PEMDAS

Parentheses

Exponents

Multiplication (L-R)

Division (L-R)

Addition (L-R)

Subtraction (L-R)

(30-9+3)+9

(21+3)+9

24+9

33 is your answer

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When truckers are on long-haul drives, their driving logs must reflect their average speed. Average speed is the total distance

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a) $v=\frac{d_{tot}}{t_{tot}}=\frac{(3 h)(60 mph)+20 mi}{3 h +t_2}$

The average speed is equal to the ratio between the total distance ( $d_{tot}$ and the total time taken ( $t_{tot}$ ):

$v=\frac{d_{tot}}{t_{tot}}$

the distance travelled by the trucker in the first 3 hour can be written as the time multiplied by the velocity:

$d_1 = (3 h)(60 mph)=180 mi$

So the total distance is

$d_{tot}=d_1 +d_2 = 180 mi+20 mi=200 mi$

The total time is equal to the first 3 hours + the time taken to cover the following 20 miles in the city:

$t_{tot}=3 h +t_2$

So, the equation can be rewritten as:

$v=\frac{d_{tot}}{t_{tot}}=\frac{(3 h)(60 mph)+20 mi}{3 h +t_2}$

b) 0.50 h (half a hour)

Since we know the value of the average speed, $v=57.14 mph$ , we can substitute it into the previous equation to find the value of $t_2$ , the time the trucker drove in the city:

$v=\frac{200 mi}{3h +t_2}\\3h+t_2 = \frac{200 mi}{v}\\t_2 = \frac{200 mi}{v}-3h=\frac{200 mi}{57.14 mph}-3 h=0.50 h$

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The graph illistrates a reflection of QPR. what line is QPR reflected across to create Q'P'R

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It’s reflected across the origin. Or to the right across the y axis. Then down across the x axis

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3 years ago

HELPPPPP ME PLEASEEEE

Ne4ueva [31]

Answer:

$y = \sqrt{85}$

Step-by-step explanation:

(11)²=(6)²+ (y)²

121=36 +(y)²

y² =121 –36

y²=85

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