Your given a side length of 7 centimeters. How many equilateral triangles can you construct using this information

Mathematics

1 answer:

irinina [24]3 years ago

3 0

You can construct 2 equilateral triangles

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Subtracting mixed number 4_1 - 2_7 4 8 4

aleksandr82 [10.1K]

Answer:

$4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}$

Step-by-step explanation:

Given

$4\frac{1}{4} - 2\frac{7}{8}$ --- proper representation of the question

Required

Evaluate

Convert numbers to improper fractions

$4\frac{1}{4} - 2\frac{7}{8} = \frac{17}{4} - \frac{23}{8}$

Take LCM

$4\frac{1}{4} - 2\frac{7}{8} = \frac{34 - 23}{8}$

$4\frac{1}{4} - 2\frac{7}{8} = \frac{11}{8}$

Convert to improper fraction

$4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}$

8 0

3 years ago

Assume that advanced students average 93% on an achievement test and regular students averaged 75%. If 100 advanced students and

Lemur [1.5K]

Average (mean) = (sum of all the data) / (# of data)

sum of all the data = (average)(# of data)

Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300

and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500

Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %

Now if there are x # of advanced students and y # of regular students, then

x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)

The second equation can be simplified to x - 2y = 0

Subtracting the two equations yields

x = 60 and y = 90

Therefore you would need 60 advanced and 30 regular students.

7 0

3 years ago

An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d is 0.15 per second of time, t.

garik1379 [7]

Here the function given by