What is 28196−−−√ written in simplified radical form?

Sofia and Diego drive to work. Sofia drives 72 miles in 1.5 hours. Diego drives 126 km in 2 hour 30 min. Work out the difference

sdas [7]

Answer:

26.4 km/hr

Step-by-step explanation:

Sofia and Diego drive to work.

For Sofia

We convert miles to km

Sofia drives 72 miles in 1.5 hours.

1 mile = 1.6 km

72 miles = x

x = 72 × 1.6 km

x = 115.2 km

We find the speed in km/hr

Speed = Distance /Time

= 115.2km/1.5 hours

= 76.8 km/hr

For Diego

Diego drives 126 km in 2 hour 30 min.

Speed = Distance/Time

Time = 2 hour 30 min = 2.5 hours

Speed = 126km/2.5 hours

= 50.4 km/hr

The difference between their average speeds in km/h is calculated as:

76.8 km/hr - 50.4 km/hr

= 26.4 km/hr

5 0

1 year ago

20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by

scoundrel [369]

Answer:

Part a) $f(2)=1.57\ sec$

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) $2,165.43\ sec$

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

$f(d)=1.11\sqrt{d}$

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For $d=2\ ft$

substitute in the function above and solve for f(2)

$f(2)=1.11\sqrt{2}$

$f(2)=1.57\ sec$

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft

so

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

so

$d=3,805,774\ ft$

substitute the value of d in the function f(d)

$f(d)=1.11\sqrt{3,805,774}$

$f(d)=2,165.43\ sec$

3 0

2 years ago

Eric made a scale drawing of the middle school. The scale he used was 1inch=5feet. If the gym is 30 inches by 20 inches in the d

BabaBlast [244]

Answer: 150 feet : 100 feet

Step-by-step explanation:

From the question, we are informed that the scale used by Eric was 1inch=5feet.

If the gym is 30 inches by 20 inches in the drawing, the acual length and width of the gym would be:

Length = 30 inches = 30 × 5 feet = 150 feet

Width = 20 inches = 20 × 5 feet = 100 feet

Therefore, the acual length and width of the gym would be 150 feet by 100 feet

6 0

2 years ago

Read 2 more answers

A bakery sells 2 croissants for $3 they sold 31 croissants on Monday, how much money did they make

Alisiya [41]

Since 2 croissants = $3 we can work out that 1 croissant = $1.50

Multiply $1.50 by 31 and we get $46.50

Therefore 31 croissants is $46.50

3 0

2 years ago

What is the slope of the line? i-Ready Lesson Linear Equations and Slope Level H

nydimaria [60]

Answer:

Slope of the line = 2

Step-by-step explanation:

Slope of a line through two points lying on the line $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

From the figure attached,

Given line is passing through two points (0, 1) and (1, 3).

Therefore, slope of the line will be,

Slope = $\frac{3-1}{1-0}$

= 2

4 0

2 years ago