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2 years ago

A sequence of the form a1, a1+d, a1+2d, a1+3d, . . . is called a/an _____.

Mathematics

1 answer:

saw5 [17]2 years ago

7 0

Answer:

arithmetic sequence

Step-by-step explanation:

please mark as brainlist

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Find the measure of arc BC

lesantik [10]

Answer:

Step-by-step explanation:

This problem does not specify what the radius of the circle is, and so we will have to represent that by r.

Arc length = s = rФ, where Ф is the central angle in radians.

Converting 162° into radians:

162° 1 rad

------- · ------------ = 0.9 rad

1 180°

Then the arc length BC is s = rФ, or r(0.9 rad)

If, for example, r = 10 m, then the arc length would be (10)(0.9) m = 9 m

3 0

2 years ago

Read 2 more answers

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

Triss [41]

Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

$y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2$

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.

3 0

2 years ago

The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?

Mandarinka [93]

Answer:

There are 8 more girls

Step-by-step explanation:

If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.

Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.

6 0

3 years ago

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the

sveticcg [70]

<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.

If BP= 6 cm and CP= 5 cm, we have:

BP/CP = AB/AC

We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:

1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm

2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm

Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>

6 0

2 years ago

What is the equation of the line that passes through the points (3,1) and (2,-4)

Ainat [17]

Answer:

The answer is in the media.Good luck!

4 0

2 years ago