We do so to follow the rule of divisibility of each term(numbers).
<h2 /><h3><u>The Rule of Divisibility:</u></h3>
The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.
Let assume that we have a series of numbers;
From the rule of divisibility, since all the numbers are multiples of 2;
We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.
Learn more about the rule of divisibility here:
brainly.com/question/840412
<span>Each smaller donation was for $20
The largest donation was $15 greater than the smaller donation.
First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios.
5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35
So the 2 smaller donations were $20 each, and the largest donation was for $35.
The largest donation was $35 - $20 = $15 larger than one of the smaller donations.</span>
Answer:6.25
Step-by-step explanation:
2.5x2.5=6.25
The answer is 1:11. After it being simplified from 6:66. Hope this helps.
Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
