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denis23 [38]
3 years ago
13

What is the greatest common factor of 44c5,22c3 and 11c4?

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

The greatest common factor of the given expressions is

11c^3

Step-by-step explanation:

Given that 44c^5,22c^3,11c^4

44c^5 can be written as

11\times 4\times c^3\times c^2

22c^3 can be written as  

11\times 2\times c^3

and  11c^4 can be written as

11\times 1\times c^3\times c

Comparing the common factors we have 11\times c^3 is the greatest common factor of 44c^5,22c^3,11c^4

Therefore the greatest common factor of the given expressions is

11c^3

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Which of the following is either a median or an altitude?
Blizzard [7]

Answer:

PR is an altitude

QT is a median.

Step-by-step explanation:

The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.

5 0
3 years ago
Find the sum of the first 40 terms of a geometric sequence where the first term is 16 and the common ratio is 1.1. 704 7,081.480
Lilit [14]

Step-by-step explanation:

The nth term of a geometric progression can be determined by using the formula:

Tn=arn−1

where: a = first term and r = common ratio

Substitute the given values of first term and common ratio into the formula:

Tn=arn−1

T5=(40)(0.5)5−1

T5=(40)(0.5)4

T5=(40)(0.0625)

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3 years ago
What's the exponential form of log 10=1
sergiy2304 [10]

Answer:

10=10

Step-by-step explanation:

8 0
2 years ago
1) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3. Then graph the line. 2) Write an
asambeis [7]

Answer:

An equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

a)

Here we have a slope of 6 and a y-intercept of -3

Then the equation is:

y = 6*x - 3

Now we want to graph this.

To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.

To find the points, we evaluate in two different values of x.

x = 0

y = 6*0 - 3 = -3

Then we have the point (0, -3)

x = 1

y = 6*1 - 3 = 3

Then we have the point (1, 3)

The graph of this line can be seen in the image below (the red one)

b) Similar to before, here the slope is -3/5, then the equation is something like:

y = (-3/5)*x + b

Now we also know that the line passes through the point (-10, 8)

This means that when x = -10, we must have y = 8

Replacing these two in the equation we get:

8 = (-3/5)*-10 + b

8 = 6 + b

8 - 6 = 2 = b

Then this equation is:

y = (-3/5)*X + 2

The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)

6 0
2 years ago
Triangle ABC and DEF are right triangles, as shown. Triangle ABC is similar to triangle DEF. which ratios are equal to sin C?
Dafna11 [192]

Answer:

First option and Fourth option.

Step-by-step explanation:

To solve this exercise you need to use the following Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case you know that:

\alpha =C

Since triangle ABC is similar to triangle DEF:

\angle C=\angle F

Let's begin with the triangle ABC.

You can identify that:

opposite=AB\\hypotenuse=AC

Then, substituing values, you get:

sinC=\frac{AB}{AC}

In triangle DEF, you know that:

opposite=DE\\hypotenuse=DF

So, substituing values, you get:

sinF=sinC=\frac{DE}{DF}

4 0
3 years ago
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