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AysviL [449]
3 years ago
5

A new cell tower is being constructed and needs a guy-wire connected 180 feet up the tower and it needs to make an angle of 52°

with the ground. What length does the wire need to be?
Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

228.42 ft

Step-by-step explanation:

To solve for this question, we would be applying the Trigonometric function of Sine.

Sin theta = Opposite/Hypotenuse

Theta = 52°

Opposite = 180ft

Hypotenuse = Length of the wire = x

Hence:

sin 52 = 180/x

x = 180/sin 52

x = 228.42327871 ft

Approximately = 228.42 ft

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Someone can help me with this please​
Marina CMI [18]

Answer:

x = -1 and x = 7

Step-by-step explanation:

2x^2 + 2x - 14x - 14

2x^2 - 12x -14

Divide through by 2 to simplify the expression

x^2 - 6x - 7

x^2 - 6x -7

Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7

Yes! It's -7 and +1

-7 + 1 = -6 , and -7* 1 = -7

Now, lets substitute these numbers in the expression

x^2 -7x + x - 7

factorize

x(x - 7) + 1(x - 7)

(x + 1) (x - 7)

Now equate to zero

(x + 1) (x - 7) = 0

x + 1 = 0

subtract 1 from both sides

x +1 - 1 = 0 -1

x = -1

Also,

x - 7 = 0

Add 7 to both sides

x -7 + 7 = 0 + 7

x = 7

Hence, x = -1 and x =7

6 0
3 years ago
Sylvie bought 13 bagels and a container of cream cheese.Each bagel cost the same price.The cream cheese cost $2.95.Sylvie spent
Taya2010 [7]
Ok, first set this up as an equation with your given variables. You know that Sylvie bought 1 container of cream cheese, which is $2.95, and you know that Sylvie spent $7.50 <u>(my best assumption is this is the subtotal)</u><u /> on the cream cheese and 13 bagels. As an equation, it would come out as:

7.50=2.95+13(b)

To start solving the algebraic equation, wou can subtract 2.95 on both sides, resulting as 

4.55=13 (b)

Now, to get "b" by itself, you must divide 13 on both sides, resulting as

.35=b

This will answer your question as the cost of 1 bagel would be $0.35 per bagel.
5 0
3 years ago
Read 2 more answers
Isaac made a mistake. in his checkbook​
tino4ka555 [31]

Answer:

uh oh. that's never good. is there more to the question lol?

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

8 0
3 years ago
Graph y=6x−7<br> Identify the x-intercept.
valina [46]

9514 1404 393

Answer:

  x-intercept: 7/6

Step-by-step explanation:

The x-intercept is found by solving for x when y=0.

  0 = 6x -7

  7 = 6x . . . . . add 7 to both sides of the equation

  7/6 = x . . . . divide both sides by 6

The x-intercept is 7/6 = 1 1/6 ≈ 1.167.

__

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

6 0
3 years ago
Simplify 3x2y4 x 2x6y
sp2606 [1]

Answer:

(3 × 2x^8y^5) hope this helps

6 0
3 years ago
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