Answer:
The value of the side PS is 26 approx.
Step-by-step explanation:
In this question we have two right triangles. Triangle PQR and Triangle PQS.
Where S is some point on the line segment QR.
Given:
PR = 20
SR = 11
QS = 5
We know that QR = QS + SR
QR = 11 + 5
QR = 16
Now triangle PQR has one unknown side PQ which in its base.
Finding PQ:
Using Pythagoras theorem for the right angled triangle PQR.
PR² = PQ² + QR²
PQ = √(PR² - QR²)
PQ = √(20²+16²)
PQ = √656
PQ = 4√41
Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.
Finding PS:
Using Pythagoras theorem, we have:
PS² = PQ² + QS²
PS² = 656 + 25
PS² = 681
PS = 26.09
PS = 26
I just learned a short time ago how to convert a repeating decimal to a fraction.
-- Take the repeating part of the decimal. In this one, it's '764' .
-- Make a fraction out of it by writing it over the same number of 9s.
The fraction here is 764/999 .
-- Simplify it if possible and if you feel like it.
764/999 can't be simplified. (I think.)
So the rational expressions for this decimal are
(5 and 764/999) or 5759/999 .
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.
2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.
Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!
We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.
Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!
2 x 28 = 56.
So 2/5 is the same as 56/140.
The answer is D) 56 Dogs/140 Cats.
Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
The graph of the equation y = m^x passes through the point (1, m)
<h3>Equation of a graph</h3>
Given the equation of a graph expressed as y = m^x
We need to determine the coordinate point that lies on this graph.
If x = 1, substitute into the formula to have:
y =m^1
y = m
Hence the required coordinate will be (1, m)
Learn more on equation of graph here: brainly.com/question/24894997
