Answer:
Distance of the keys on ground from the base of the tower = 7.38 ft
Step-by-step explanation:
Given:
Height of tower = 94 ft
Tower is leaning and makes an angle of 85.5 degrees from the ground.
Keys are dropped from the top of the tower.
To find the distance of the keys on ground from the base of the tower.
From the data given to us we can construct a right triangle ABC.
For the Δ ABC
AB= 94 ft
∠A= 85.5°
We can apply trigonometric ratio to find side BC which is the distance of the keys on ground from the base of the tower.
Using cosine ratio: 
In Δ ABC
Multiplying both sides by AB.
Substituting value of AB and cos 85.5°
∴ 
Distance of the keys on ground from the base of the tower = 7.38 ft
To solve for x in an inequality is very similar to solving for x in an equation since for both you would need to isolate x.
step 1) -2x-4>8 add the 4 over to move any constants over to the +4 +4 other side.
-2x> 12
step 2) x< -6 Divide out the -2 to isolate x, however, keep in mind, when you divide or multiply over any negative number, you must also remember to flip the inquality sign.
Answer: x<-6
In 1997 = 17697
Because, each year, the number of employees is expected to decrease by 2.2%, find 2.2% of 17697 and subtract from the number.
2.2/100 x 17697 = 38933.4/100 = 389.334
^that was calculating 2.2% of 17697. Now we subtract:
17697.000
- 389.334
17307.666 =
Round to the nearest whole number = 17308
Answer: in 1998, the expected number of workers is 17308
Answer:
Area of the shaded region= 
Step-by-step explanation:
Area of the shaded region= Area of the triangle- Area of the rectangle
Dimensions of the triangle:
Base= 40 inch
Height= 40 inch
Area of a triangle=
Area of the rectangle= Length*Width
Length=30 inch
Width=10 inch
Area:
Area of the shaded region= 
Answer:
Step-by-step explanation:
The scale factor is given as 1:500,000
i.e. original 500,000 is represented as 1 inch in the map
Hence if 12.7 inches on the map, this is a question of direct variation
So actual distance = 12.7(500000) = 6350000
