Why is ½ multiplied in the formula for area of a triangle and trapezoid?

The stem-and-leaf plot shows the scores of a class of sixth graders on a math test.

SOVA2 [1]

A stem and leaf plot shows sets of two digit numbers, by separating the ten’s place and the one’s place. On the left is the different ten’s values, while on the right next to each of the values on the left is the one’s values that associate with each of the ten’s values. This means that the numbers in this set of data are 32, 47, 51, 55, 55, 55, 58, 64, and so on. From there, you can use that knowledge to figure out how many scores were above 60.

The terms that are above 60 are 64, 65, 73, 74, 77, 87, 88, 91, 93, 93, 97, 99, and 99, for a total of 13 of the 20 scores being above 60.

8 0

3 years ago

In which of the following regions were the primary Dutch claims in America? A.along the Hudson River B.throughout the Ohio Valle

VashaNatasha [74]

The Hudson river valley-NYC was originally New Amsterdam

5 0

3 years ago

Read 2 more answers

The middle side of a triangle is half of 3 times the length of the shortest side. The longest side is 2 centimeters longer than

USPshnik [31]

Answer:

The difference between the longest and shortest sides of the triangle is 4 cm.

Explanation:

Step Number One:

Let the shortest side of the triangle have a length of x.

The middle side of the triangle has a length that is half of 3 times the length of the shortest side. This can be written as 1/2*3x, which equals 3/2x.

The longest side of the triangle has a length that is 2 centimeters longer than the length of the middle side. This can be written as 3/2x + 2.

Step Number Two:

The perimeter of the triangle, which can be found by adding the lengths of all of the sides of the triangle, is 18 centimeters. This can be shown by the following equations:

Shortest Side + Middle Side + Longest Side = Perimeter

x + 3/2x + 3/2x + 2 = 18

4x + 2 = 18

4x = 16

x = 16/4

x = 4

Step Number Three:

This means that the shortest side of the triangle has a length of 4 centimeters and the longest side of the triangle has a length of 8 centimeters.

8 cm - 4 cm = 4 cm

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Are you still confused? Not feeling confident in your ability to solve these types of problems? Some helpful topics to practice are listed below!

Still confused on ...

Step 1 - Practice equation solving!

Step 2 - Practice perimeter!

Step 3 - Practice addition and subtraction!

Remember: Certain problems may be tricky, but practice makes perfect!

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Answer by Math_Is_Me_123

7 0

3 years ago

On a hot summer day, Jen is in a foreign country. She wonders which

tino4ka555 [31]

Answer: Celsius scale

Step-by-step explanation:

Fahrenheit scale is established from the freezing and boiling temperatures of water, which are:

Freezing temperature of water: $32\°F$

Boiling temperature of water: $212\°F$

Which means that all temperatures below $32\°F$ are below the freezing temperature of water. Therefore, if Jen is in the Summer season, which is characterized by high temperatures, it is incoherent to think that the thermometer is using the Farenheit scale.

Now, $30\°C$ is in accordance with the high temperatures recorded in the summer season.

If we want to know how much $30\°C$ is in Farenheits, we must use the following conversion formula:

$(30\°C)(\frac{9}{5})+32=86\°F$

8 0

3 years ago

There are eight students in a class. Only one of them has passed Exam P/1 and only one of them has passed Exam FM/2. No student

Svetach [21]

Answer: There is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.

Step-by-step explanation:

Total number of students = 8

Number of student who has passed Exam P/1 = 1

Number of student who has passed Exam FM/2 = 1

No student has passed more than one exam.

According to question, exactly three students from a randomly chose group of four students have not passed Exam P/1 or Exam FM/2.

So, Probability will be

$\frac{^6C_3\times ^2C_1}{^8C_4}\\\\=\frac{20\times 2}{70}\\\\=\frac{4}{7}\\\\=0.57$

Hence, there is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.

4 0

3 years ago