Determine whether the triangle with the given side lengths is acute, right, obtuse or not a triangle; 21, 28, 25

Ari is jogging at an average rate of 2.25 meters per second. Find the time it will take him to jog 270 meters.

Vera_Pavlovna [14]

Answer:

120 seconds/2 minutes

Step-by-step explanation:

divide the distance (270 m) by the rate (2.25 m/s) and you have 270/2.25 = 120 seconds, or 2 minutes.

3 0

3 years ago

Pls help! I'm confused. Can you explain this if you can.

alexdok [17]

Answer:

From a table, for an ordered pair (0, y), y will not be zero. From a graph, the y-intercept will not be zero. From an equation, it will have the form, y = mx + b where b is ≠ 0.

Step-by-step explanation:

From a table, for an ordered pair (0, y), y will not be zero. If there is not a constant rate of change in the data displayed in a table, then the table represents a nonlinear nonproportional relationship.
From a graph, the y-intercept will not be zero. This means that it doesn't contain or go through the origin.
From an equation, it will have the form, y = mx + b where b is ≠ 0. (not equal to zero). If an equation is not a linear equation, it represents a nonproportional relationship. A linear equation of the form y = mx + b may represent either a proportional (b = 0) or nonproportional (b ≠ 0) relationship. Therefore, when b ≠ 0, the relationship between x and y is nonproportional.

7 0

3 years ago

The heights of adult men in america are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches.

Nesterboy [21]

The solution for this problem is:It's given that the heights are normally distributed.
5 feet 7 inches = (5*12 +7) inches = (60+7) inches = 67 inches.
The z-score is (67 - 69.1)/(2.65) = -1.136. The probability is 0.127978 or 12.8%, making probability of a height over 67 inches

5 0

3 years ago

Read 2 more answers

the figure shown is a rectangle with a semicircle on each end. what is the area of the figure? use 3.14 for <img src="https://te

nirvana33 [79]

Answer:

$\boxed{a.\:\:\:76.3\:in^2}$

Step-by-step explanation:

The figure is made up of a rectangle and two semicircles.

We find the area of the rectangle using the formula;

$Area = l\times w$

$\Rightarrow Area = 8\times 6$

$\Rightarrow Area = 48\:in^2.$

We find the area of one of the semicircles and multiply by 2;

The area of the semicircles

$=2\times \frac{1}{2}\times \pi \times r^2$

We substitute $\pi =3.14$ and $r=3\:in$ to obtain;

$=2\times \frac{1}{2}\times 3.14 \times 3^2$

$= 3.14 \times 9$

$=28.26\:in^2$

The area of the figure is

$=48+28.26$

$=76.26\:in^2$

To the nearest tenth we have;

$=76.3\:in^2$

The correct answer is A

6 0

3 years ago

Read 2 more answers

Determine the unit rate of the following. 240 hours of homework in 8 weeks.

astra-53 [7]

Answer: $30\ \frac{hours}{week}$

Step-by-step explanation:

In order to solve this exercise it is important to remember that a "Rate" is defined as a ratio that compares two different but related quantities.

Then, "Unit rate" tell us how many units of the first quantity corresponds to one unit of the second quantity. Therefore, the second quantity is equal to 1.

According to the information given in the exercise, you know that the number of hours of homework in 8 weeks is 240 hours.

Then, in order to determine the Unit rate (the number of hours per week), you need to divide 240 hours by 8 weeks.

Through the procedure explained above, you get the that the number of hours per week is the following:

$unit\ rate=\frac{240\ hours}{8\ weeks}\\\\unit\ rate=30\ \frac{hours}{week}$

(Notice that it is $30\ hours\ per\ week$ )

5 0

3 years ago