Answer:
cos B = 
tan B = 
sin B = 
Step-by-step explanation:
In the right triangle, there are three sides and 2 acute angles
- Hypotenuse ⇒ the opposite side of the right angle
- Leg1 and Leg 2 ⇒ the sides of the right angle
The trigonometry functions of one of the acute angles Ф are
- sin Ф = opposite leg/hypotenuse
- cos Ф = adjacent leg/hypotenuse
- tan Ф = opposite leg/adjacent leg
In Δ ACB
∵ ∠C is the right angle
∴ AB is the hypotenuse
∵ AC is the opposite side of ∠B ⇒ leg1
∵ CB is the adjacent side of ∠B ⇒ leg2
→ By using the ratios above
∴ cos B =
, tan B =
, sin B = 
∵ CB = 7, AB = 25, AC = 24
∴ cos B = 
∴ tan B = 
∴ sin B = 
Answer:
-1, |-2|, |-3|, |3.5|, |3²|
Step-by-step explanation:
- Calculate the absolute value (the absolute value of any number is always positive): 3, 3², 2 , 3.5, -1
- Calculate the exponents : 3, 9, 2 , 3.5, -1
- Put in order least to greatest : -1, |-2|, |-3|, |3.5|, |3²|
Given:
The values are
.
To find:
The values of
and
.
Solution:
We have,

...(i)
Multiply both sides by 10.
...(ii)
Subtracting (i) from (ii), we get




And,



Now, the product of a and b is:


The quotient of a and b is:



Therefore, the required values are
and
.
GEF
The middle point aka the E has to be in the middle and then the first and last points don’t matter
1: 14 ft
2: 18
3: 11; 28
4: 8; 96
5: a = 5x3
6: a = 8x8
7: 1x42, 2x21, 3x14, and 6x7. 6x7 probably makes the most sense.