<u>Solution-</u>
As given in △ABC,
As from the properties of trigonometry we know that, the greater the angle is, the greater is the value of its sine. i.e
According to the sine law,
In order to make the ratio same, even though m∠A>m∠B>m∠C, a must be greater than b and b must be greater than c.
Also given that its perimeter is 30. Now we have to find out whose side length is 7. So we have 3 cases.
Case-1. Length of a is 7
As a must be the greatest, so b and c must be less than 7. Which leads to a condition where its perimeter won't be 30. As no 3 numbers less than 7 can add up to 30.
Case-2. Length of b is 7
As b is greater than c, so c must 6 or less than 6. But in this case the formation of triangle is impossible. Because the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. If b is 7 and c is 6, then a must be 17. So no 2 numbers below 7 can add up to 17.
Case-3. Length of c is 7
As this is the last case, this must be true.
Therefore, by taking the aid of process of elimination, we can deduce that side c may have length 7.
25 × x = 45
or 25÷100 × x= 45
multiplying both sides by 100 and dividing both sides by 25, we have x = 45×100÷25
therefore, x = 180
( if you use a calculator simply enter 45×100÷ 25)
Yes, you did this right. 5 if the GCF of 15 and 5
all you have to do is find the GCF and then divide so you can get your new inside values with the gcf outside the parentheses.
Answer:
The correct answer is 1.
Step-by-step explanation:
In order to solve the problem 
+ 
, we need can use two methods.
Method 1: Make the denominators the same.
3/9 + 2/3 =
3/9 + 6/9 =
9/9 =
1
Method 2: Turn both fraction into decimals (<em>by dividing the numerator by the denominator</em>.)
3/9 or 3 ÷ 9 = 0.3 (when rounded to the nearest tenth)
2/3 or 2 ÷ 3 = 0.7 (when rounded to the nearest tenth)
0.3 + 0.7 = 1
Therefore, the answer to this question is 1.
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
