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il63 [147K]
3 years ago
15

A pole 10 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After p

lacing the pole, Suav measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.​

Mathematics
2 answers:
marysya [2.9K]3 years ago
6 0
The pole length to the nearest wire should be 10x15
ruslelena [56]3 years ago
6 0

Answer:

  • 42 feet

Step-by-step explanation:

Let the required distance is x and the height of the tower is t.

<u>Use similar triangle ratios to find the value of t:</u>

  • t / 10 = (9 + 3) / 3
  • t / 10 = 4
  • t = 40 feet

<u>Use Pythagorean to find the value of x:</u>

  • x² = 40² + (9 + 3)²
  • x² = 1600 + 144
  • x² = 1744
  • x = √1744
  • x = 42 feet (rounded)
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3 years ago
. Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 1
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Answer:

$1023.74

Step-by-step explanation:

Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 12.5% sales tax. What will be the total cost of the TV?

Step 1

We find the new price after the discount.

Discount = % Discount × Current price

= 30% × $1299.99

= $389.997

The new discounted price =

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Step 2

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Hence,

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Step 3

The total cost of the TV is calculated as:

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3 0
3 years ago
Helppp 80 points no links please
Aneli [31]

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Step-by-step explanation:

4 0
3 years ago
How many solutions does this linear system have?
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We want to find the x and y-intercepts for the given linear equation.

The x-intercept is x = 12, and the y-intercept is y = 6.

We know that x represents the number of children and y the number of adults that can attend the rodeo for $180.

The x-intercept is defined as the x-value when y = 0. So we just need to replace y by 0 and solve for x:

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