Answer:
The Value of .
Step-by-step explanation:
We have Named the figure please find the attachment for your reference.
Given:
PR = y
QR = a
RS = b
PS = z
PQ = x
QS = 15
∠P = 90°
∠R = 90°
∠Q = 60°
∠S = 30°
We need to find the Value of 'a'.
Solution:
Now we know that:
In Δ PQS
∠P = 90°
∠S = 30°
Now we know that;
Substituting the given values we get;
Now we know that;
So we can say that;
Now In Triangle PQR.
∠R = 90°
∠Q = 60°
So we can say that;
Substituting the given values we get;
Now we know that;
So substituting the values we get;
By Using Cross Multiplication we get;
Hence The Value of .
Given:
The polynomial is:
To find:
The degrees and determine whether it is a monomial, binomial, or trinomial.
Solution:
We have,
The highest power of the variable <em>x</em> in the given polynomial is 4. So, the degree of the polynomial is 4.
Monomial: Polynomial with one term.
Binomial: Polynomial with two terms.
Trinomial: Polynomial with three terms.
In the given polynomial, we have three terms . So, the given polynomial is trinomial.
Therefore, the degree of the polynomial is 4 and it is a trinomial.
The square of a binomial expands as follows:
Expanding all the binomials, we have
Sum like terms:
Simplify terms appearing on both sides:
Move all terms involving k to the left and all numbers to the right:
Divide both sides by -20:
Answer:
Step-by-step explanation:
<u>Density</u>
The density of an object of mass m and volume V is given by
It can be expressed in common units like or any other combination of proper mass [M] by volume [V] units.
The data provided in the question is
Thus, the measured density is
We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.