Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[Right angle]
Divide both sides by 5.
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that

Putting
, we get



Therefore, the measure of angle RQP is 33 degrees.
Answer:
customary system:
miles
ounces
metric system:
deciliters
kilometers
centigram
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
Answer:
12 months in a year
6 is half a month so we're going off of 6 months.
So:
821*0.15= 123.15
821- 123.15= 697.85
697.85*0.15= 104.6775
697.85-104.6775= 593.1725
593.1725*0.15= 88.975875
593.1725-88.975875= 504.196625
504.196625
*0.15= 75.62949375
504.196625- 75.62949375= 428.56713125
428.56713125*0.15= 64.2850696875
428.56713125-64.2850696875
= 364.282061562
364.282061562*0.15= 54.6423092344
364.282061562-54.6423092344
= 309.639752328
So its 310 fish.