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2 years ago

3. The table shows the numbers of snare drum backbeats and bass guitar

Mathematics

1 answer:

brilliants [131]2 years ago

3 0

Answer:

Yes

Step-by-step explanation:

The notes are in the proportion of 3:2 since

3/2x30/30=90/60

3/2x40/40=120/80

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What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the

kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)

<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.

Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.

We find the midpoint of AC using the formula;

$N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$N=(\frac{-3+5}{2}, \frac{1+2}{2})$

$N=(\frac{2}{2}, \frac{3}{2})$

$N=(1, \frac{3}{2})$

The equation of the median passes through $B(1,6)$ and $N=(1, \frac{3}{2})$ .

This line is parallel to the y-axis hence has equation

$x=1$ -------first median.

We also find the midpoint M of BC.

$M=(\frac{1+5}{2}, \frac{6+2}{2})$

$M=(\frac{6}{2}, \frac{8}{2})$

$M=(3, 4)$

The slope of the median, AM is

$Slope_{AM}=\frac{4-1}{3--3}$

$Slope_{AM}=\frac{3}{6}$

$Slope_{AM}=\frac{1}{2}$

The equation of the median AM is given by;

$y-y_1=m(x-x_1)$

We use the point M and the slope of AM.

$y-4=\frac{1}{2}(x-3)$

$2y-8=(x-3)$

$2y-x=-3+8$

$2y-x=5$ -------Second median

We now solve the equation of the two medians simultaneously by putting $x=1$ in to the equation of the second median.

$2y-1=5$

$2y=5+1$

$2y=6$

$y=3$

Hence the centroid has coordinates $(1,3)$

7 0

3 years ago

Read 2 more answers

An aquarium tank is 3 feet long 1 foot wide and 2 feet high how many gallons of water would it take to fill the tank two thirds

m_a_m_a [10]

Answer: i believe it'll take 6 gallons to fill up the tank two thirds full

Step-by-step explanation: 3 x 1 x 2 = 6 gallons

6 0

3 years ago

A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.

Ivahew [28]

The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;

Prime factorization

11340 | 2
5670 | 2
2835 | 5
567 | 3
189 | 3
63 | 3
21 | 3
7 | 7
1

11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7

We observ that the possible length of the side is 18( we have 35 small squares ).

8 0

4 years ago

Ben is making manipulative to sell..He wants to make at least $450.00 ..Each manipulative costs $18 to make.He is selling them f

prohojiy [21]

The least Ben can sell is 37 manipulative to reach his goal.

7 0

3 years ago

The surface area of this cube is 54 square millimeters. What is the volume?

seropon [69]

Answer:

27 cubic millimeters

Step-by-step explanation: