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Nady [450]
3 years ago
15

A guy-wire is attached from the ground to the top of a pole for support. If the angle of elevation to the pole is 67° and the wi

re is attached to the ground at a point 137 feet from the base of the pole, what is the heght of the pole (round to 2 decimal places)?
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0
100 and 70 for the 67 and 137
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A video game system and several games are sold for $500. The cost of the game is 3 times as much as the cost of the system . Fin
Shalnov [3]
We have to start by creating an equation. 

Cost of System = x
Cost of games = 3x

Thus x + 3x = $500

Now we find x.

4x = 500,
x = 500/4 = 125

So the system is 125,
The games, 125*3 = 375
5 0
3 years ago
Read 2 more answers
11. Solve the system of equations.
astraxan [27]

Answer:

x = 0     y = 2

Step-by-step explanation:

4x + 2 = -2x + 2

6x + 2 = 2

6x = 0

x = 0

y = 4(0) + 2

y = 2

6 0
3 years ago
Show how to solve the following; answer must be with fractions and pi
Bess [88]

Answer:

3pi/4 and -pi/4

Step-by-step explanation:

We can simplify -6/6 to -1.

Therefore, this function can be simplified to arctan(-1).

Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.

Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.

If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.

If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.

Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.

3 0
3 years ago
Hey can you please help me out posted picture
abruzzese [7]
We have for this case:
 For each language we have:
 Number of people who speak Spanish:
 Spanish = 8 + 4 = 12
 Number of people who speak Chinese:
 Chinese = 5 + 6 = 11
 Number of people who speak both languages:
 Both = 3 + 2 = 5
 Adding we have:
 12 + 11 + 5 = 28
 Answer:
 28
 option A
7 0
3 years ago
Read 2 more answers
The cost of a book is $x what is the expression in terms of x for the number of these books which are bought for $40
spayn [35]

Answer:

In x dollars,

number of book that can be bought = 1

So, In 1 dollar,

number of books that can be bought = 1/x

Hence in 40 dollars,

number of books that can be bought = 40/x

6 0
2 years ago
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