All categories

3 years ago

Point O is the centroid of triangle ABC. If OD=3x -2 and OC= 5x, find x.

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

At centroid medians bisect each other in the ratio 2:1

$\\ \sf\longmapsto OC=2(OD)$

$\\ \sf\longmapsto 2(3x-2)=5x$

$\\ \sf\longmapsto 6x-4=5x$

$\\ \sf\longmapsto 6x-5x=4$

$\\ \sf\longmapsto x=4$

You might be interested in

4,000 is times as much as 4

Andreas93 [3]

What you are trying to solve is 4000 divided by 4 which is 1000

5 0

3 years ago

Read 2 more answers

A quadratic function has a line of symmetry at x = –3 and a zero at 4.

Nitella [24]

<span>Just find the distance from -3 to 4. That's 7.
It is 7 units to the left of -3. Subtract 7 from -3. That's -10</span>

3 0

3 years ago

Brainliest is given to the correct answer!

OlgaM077 [116]

Answer:

a. $p = 2\pi r + 8r$

b. $r = \frac{p}{2\pi + 8}$

Step-by-step explanation:

a. Radius of semicircle (r) = r

Diameter of semicircle (d) = 2r

Length of rectangle (l) = 2*diameter of semicircle = 2*2r = 4r

Distance around the track (p) = circumference of circle + 2(l)

Note: the two semicircles of the track = 1 full circle

Circumference of full circle = πd = π*2r = 2πr

Distance around the track:

p = 2πr + 2(4r)

p = 2πr + 8r

b. Rewriting the formula to make radius, r, the subject of the formula in terms of distance around the track.

$p = 2\pi r + 8r$

Factor out r

$p = r(2\pi + 8)$

Divide both sides by (2π + 8)

$\frac{p}{2\pi + 8} = \frac{r(2\pi + 8)}{2\pi + 8}$

$\frac{p}{2\pi + 8} = r$

$r = \frac{p}{2\pi + 8}$

6 0

3 years ago

seven people arrive to dinner, but the circular table only seats six. if two seatings such that one is a rotation of the other a

Alenkinab [10]

6 different people chosen from 7 can sit around the circular table in 840 ways.

Given that there are 7 people who have arrived for dinner.

But the circular table only seats 6.

Hence 1 person can be left out.

This can be done in 7 ways, which is a simple case of permutation.

A permutation is a combination of objects arranged in a particular sequence. The elements of sets are arranged in this case in a linear or sequential sequence.

Now 6 people will have to sit on the circular table.

Now from the properties of combination we know that , if n people sit around a circular table, then they can sit in n! ways.

Therefore 6 people can sit around a circular table in 6! ways.

6! = 120

Therefore total number of ways = 120 × 7 = 840

Hence 6 different people chosen from 7 can sit around the circular table in 840 ways.

To learn more about table visit:

brainly.com/question/16885576

#SPJ4

5 0

1 year ago

How do I find out if -5 1/5 is greater,less or equal to 5.2?

swat32

It is less than 5.2, simply because the number is negative.

7 0

3 years ago

Read 2 more answers