Compare 3/5 and 6/9.

Mathematics

2 answers:

mamaluj [8]3 years ago

7 0

3/5 and 6/9 simplified is 2/3.
so 3/5 and 2/3
make them equal so you get : 9/15 and 10/15
6/9 is greater that 3/5 :)

tiny-mole [99]3 years ago

5 0

To compare you should make the down part equal first
27/45 < 30/45

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Two points have the coordinates P (6, -3,9) and Q (3, -6, -3). A point R divides line PQ internally in the ratio 1:2. The positi

sweet [91]

(a) i. See comment...

(a) ii. We have

$\vec p = 6\,\vec\imath - 3\,\vec\jmath + 9\,\vec k$

and

$\vec q = 3\,\vec\imath - 6\,\vec\jmath - 3\,\vec k$

(b) We can parameterize the line segment from P to Q by the vector function

$\vec r(t) = (1-t) \vec p + t \vec q = (6-3t) \, \vec\imath + (-3-3t) \,\vec\jmath + (9-6t) \,\vec k$

with $0\le t\le1$ . The point R is located 1/3 of the way along this line segment, i.e. at $t=\frac13$ , so its position vector is

$\vec r\left(\dfrac13\right) = 5\,\vec\imath -4\,\vec\jmath + 7\,\vec k$

and hence its coordinates are $\boxed{(5,-4,7)}$ .

8 0

2 years ago

Find the measure of all the angle b’s pls. pretty pretty please. if you do all four ily. #desperate.

Nesterboy [21]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.

Theorums

To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:

Supplementary Angles: When two angles add up to 180 degrees.

Complementary Angles: When two angles add up to 90 degrees.

Interior/Exterior Angles Theorum.

Right Angles.

Solving

So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.

What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.

Upon solving that, we know that B for the first one is

$90=b+65\\b= 25$

We know that b is 25 degrees for the first one.

For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.

$180=80+b\\b=100$