All categories

2 years ago

PROVE THAT THE SUM OF THE ANGLES OF A TRIANGLE IS 180

Mathematics

1 answer:

ycow [4]2 years ago

4 0

Each of the angles in a triangle are 60 degrees, so when you add them together, you get 180

60+60+60=180

You might be interested in

Solve for x<br> (2x - 3)(x - 2) = 0

Zinaida [17]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A copy machine makes 36 copies per minute. How many copies does it make in four minutes and 45 seconds?

blsea [12.9K]

Answer: The copy machine makes 171 copies in 4 minutes and 45 seconds.

Step-by-step explanation:

Let's dissect the question. The copy machine makes 36 copies per minute.

36 per min.

To see how many copies it makes in 4 minutes and 45 seconds, we multiply 36 * 4.75. 45 seconds is 3/4ths of a minute, or 0.75 of a minute.

$36 * 4.75=171$

It makes 171 copies in 4 minutes and 45 seconds.

7 0

2 years ago

Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W

suter [353]

Answer: The required equation for points P is $4x+2y=17.$

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

$RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.$

Let the point P be represented by (x, y, z).

According to the given information, we have

$PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.$

Thus, the required equation for points P is $4x+2y=17.$

8 0

2 years ago

If a particular set of data is approximately normally distributed, we would find that approximately A) 2 of every 3 observations

Kryger [21]

Answer:

A) No

B) No

C) Yes

Step-by-step explanation:

A) 2 out of three observations is equal to

2/3 = 0.67 or 67 %

We know tha the interval

[μ - σ/2 , μ + σ/2] is approximately 68.3 % of the values

Therefore 2 out of 3 would not fall in that interval

4 out of 5 is 4/5 = 0,8 or 80 % If we examine the interval

[μ - σ , μ + σ ] which is approximately 95. Then value 4/5 ( 0,8)

Therefore 0,8 is out of the interval

C) 19/20 = 0,95 or 95 % is almost exact the value for the interval

[μ - 1.5σ , μ + 1.5σ ] That value is inside μ - 2σ , μ + 2

8 0

2 years ago

At Elmwood Middle School there are 4 teachers for every 68 students. There are 425 students enrolled at the school. How many tea

oee [108]

Answer:

6.25 would be the answer I believe but I don’t know your choices

Step-by-step explanation:

4 0

2 years ago