Answer:
11
Step-by-step explanation:
<h2><u>AMOUNT OF LEMONADE SOLD </u></h2>on sunday the amount of gallons of lemonade sold is :
10 2/3 +3 1/2
= 14
on <u>monday</u> the amount of gallons of lemonade sold is :
14 - 2 2/3
=
Line segment YV of rectangle YVWX measures 24 units.What is the length of line segment YX?
1 answer:
The length of line segment YX is 12√2 units if the segment YV of rectangle YVWX measures 24 units
<h3>What is the trigonometric ratio?</h3>The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Line segment YV of rectangle YVWX measures 24 units.
Applying tan ratio:
tan A = VW/XW
tan A = YX/YV
tanA = YX/24
YX = 24tan 60
YX = (1/√2)24
YX = 12√2 units
Thus, the length of line segment YX is 12√2 units if the segment YV of rectangle YVWX measures 24 units
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a + b ≥ 30, b ≥ a + 10, the system of inequalities could represent the values of a and b
option A
<u>Step-by-step explanation:</u>
Here we have , The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, We need to find which system of inequalities could represent the values of a and b . Let's find out:
Let two numbers be a and b where b>a . Now ,
- The sum of two positive integers, a and b, is at least 30
According to the given statement we have following inequality :
⇒
- The difference of the two integers is at least 10
According to the given statement we have following inequality :
⇒
⇒
⇒
Therefore , Correct option is A) a + b ≥ 30, b ≥ a + 10