Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
Answer:
2
Step-by-step explanation:
-6 divided by a positive number would make it a positive number welcome
Answer:
a) 29
b) 0
c) 7
d) 3/8
Step-by-step explanation:
Whenever you're facing a clock maths problem, the solution always have to be < to the number of hours in the given clock. If it's > the number of hours of the given clock, you subtract the number of hours until you get a result <= the number of clock hours.
If the result is negative, you add the clock hours.
a) 21 - 33 = -12 , so -12 + 41 = 29
b) 13 * 4 = 52, then do 52 - 52 = 0, since answer has to be < 52.
c) 11+19 = 30, 30 - 23 = 7
d) 3/8 = 3/8, since 3/8 <= 15, you're also fine.
Scale :
Map 1 : Actual
1 cm : 2 km
1 cm : 200 000 cm | Convert 2km to 200 000cm
Answer: The scale is 1 : 200 000
Map 1 : Actual
1 cm : 200 000 cm
(x8) : (x8)
8 cm : 1 600 000cm
1 600 000 cm = 16 km
Answer: The length of the actual trail is 16 km
Map 1 : Map 2
8cm : 6cm
1cm : 0.75 cm
Answer : The scale is 1 : 0.75
Map 1 : Map 2
1 : 0.075
3mm : 0.075 x 3 = 0.225mm
4mm : 0.075 x 4 = 0.3 mm
5mm : 0.075 x 5 = 0.375 mm
Answer: The side lengths are 0.225mm, 0.3 mm and 0.375 mm
In this item, we will be able to form a system of linear equation which are shown below,
292 = 400x + y
407 = 900x + y
where x is the percent of the commission that he gets and y is the wage. The values of x and y from the equations are 0.23 and 200. This means that Justin earns a fixed wage of 200 per day and a commission which is equal to 23%.
Substituting the known values to the equation,
S = (0.23)(3200) + 200 = 936.
Therefore, Justin could have earned $936 had he sold $3,200 worth of merchandise.
