Answer:
The distance from both of them = 1463.925 ft
Step-by-step explanation:
The building is 964 ft tall . 2 people are standing on the ground directly west of the building. The first person looks up at an angle of 62° to the top of the building while the second person did same at an angle of 26°. The distance between them can be computed below.
The illustration forms a right angle triangle . Using the SOHCAHTOA principle let us find the distance of the second person from the building
tan 26° = opposite/adjacent
tan 26° = 964/adjacent
adjacent tan 26° = 964
adjacent = 964/tan 26°
adjacent = 964/0.48773258856
adjacent = 1976.49290328 ft
The distance from the second person to the building = 1976.493 ft
Distance of the first person to the building
tan 62° = opposite/adjacent
tan 62° = 964/adjacent
adjacent tan 62° = 964
adjacent = 964/tan 62°
adjacent = 964/1.88072646535
adjacent = 512.567892122
distance from the first person to the building = 512.568 ft
The distance from both of them = 1976.493 ft - 512.568 ft = 1463.925 ft
Answer:
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Step-by-step explanation:
We can solve this question by a system of equations.
I am going to say that:
x is the number of short-sleeved shirts sold.
y is the number of long-sleeved shirts sold.
A department store sold 51 shirts one day.
This means that
All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.
This means that
How many of each kind of shirt were sold?
We have to solve the system of equations.
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28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Answer:
(5,4) and (3,4)
Step-by-step explanation:
A line segment has 2 end points which can be denoted as:
and
When this line segment intersects at y.
This means that the coordinate on the y axis is the same at both end points
i.e.
and becomes and
x1 and x2 can be any value but the y value must remain unchanged
Using the above analysis, a possible coordinate is:
and
Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form <em> and </em><em />
Take for instance, another possible pair is:
and
Answer: x=5
Step-by-step explanation:
divide both sides by the numeric factor on the left side, then that will give the answer for x
d1 = 51(t)
d2 = 71(8 - t)
d1 + d2 = 508
and now you just have to solve for t.