Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
1. A debit signifies something owed. So, that means the answer is negative.
-$40
2. A deposit means you are gaining money. So, the answer is positive.
+$225
3. Above sea level signifies to us it is above zero. So, the answer is positive.
+14000 feet
(Keep in mind, whenever they say above, it is always positive.)
4. The temperature increased, meaning that it is positive.
+40°F
5. Withdrawl implies losing money. So, the answer is negative.
-$225
6. Below sea level implies it is below zero. So, the answer is negative.
-14000 feet
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
Step-by-step explanation:
The given is,
In ΔWXY, ∠Y=90°
XW = 53
YX = 28
WY = 45
Step:1
Ref the attachment,
Given triangle XWY is right angled triangle.
Trigonometric ratio's,
∅ 
For the given attachment, the trigonometric ratio becomes,
∅ 
.....................................(1)
Let, ∠X = ∅
Where, XY = 28
XW = 53
Equation (1) becomes,
∅ 
∅ = 0.5283
∅ = 
(0.5283)
∅ = 58.109°
Result:
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
8*4=32
7*4=28
340÷32=10.625
350÷28=12.5
12.5-10.625= 1.875
