Answer:
The ratio of number of purple beads to the number of pink beads is: 15:31
Step-by-step explanation:
Number of pink beads = 31
Number of Purple beads = 15
We need to find ratio of number of purple beads to the number of pink beads
So, The ratio of number of purple beads to the number of pink beads is:
Number of purple beads : Number of pink beads
15 : 31
Since it cannot be simplified further, So
The ratio of number of purple beads to the number of pink beads is: 15:31
Answer:
C = 3 √ 5
(since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5
B √ 9*5 is true but not simplified.
We need to find a square numbers that divide into 45
We find 9
And show a * b = c
c= 45
so a * b = 9 * 5 = 3√ 5 is how we arrange this to simplify.
Step-by-step explanation:
The list is
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
We see there are 10 perfect squares 1-100
5 are 1-25
then think 6 , 7, 6 , 9 ,10 squared/ if you cant list them too quickly.
<h3>
Answer: A) 76 degrees</h3>
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Explanation:
Angle PQT = 35 degrees is given. This inscribed angle subtends or cuts off minor arc PT. This is the shortest distance along the circle from P to T. Any other inscribed angle that cuts off this same arc will also be the same measure. Note how angle PRT is such an inscribed angle, so,
angle PRT = 35 degrees
which we'll use later.
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Focus on triangle ROS. Interior angle O is 180-82 = 98 degrees due to it being supplementary to the 82 degree angle shown.
Triangle ROS is isosceles with OR = OS being the two equal radii. The opposite base angles R and S are congruent angles. Call them x for now
(angle O) + (angle R) + (angle S) = 180
98+x+x = 180
2x+98 = 180
2x = 180-98
2x = 82
x = 82/2
x = 41
For triangle ROS, interior angle R is 41 degrees. Put another way,
angle ORS = 41 degrees
we'll use it below along with angle PRT
------------------------
angle PRS = (angle PRT) + (angle ORS)
angle PRS = (35) + (41)
angle PRS = 76 degrees
Answer:
49a^2 - 126ab + 81 ^2
Step-by-step explanation:
Suitable identity = (a-b)(a-b) = a^2 - 2ab + b^2
So, to solve this.
(7a-9b)(7a-9b) = 49a^2 - 126ab + 81b^2
Hope this helps