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Whitepunk [10]
1 year ago
7

A pole is supported by two wires one on each side going in opposite directions the wires are 14ft and 17ft long if the wires are

to be secured to the ground 22 feet from each other what angle must the 14 foot long wire make with the ground
Mathematics
1 answer:
olchik [2.2K]1 year ago
7 0

The angle the 14 foot long wire must make with the gound is approximately 51 degrees.

<h3>What is a right angle triangle?</h3>

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms two right angle triangle.

Using cosine law,

17² = 14² + 22² - 2 × 14 × 22 cos C

289 - 196 - 484 = -616 cos C

-391 = -616 cos C

divide both sides by -616

cos C = -391  / -616

cos C = 0.63474025974

C = cos⁻¹ 0.63474025974

C = 50.59929658

C = 51 degrees.

Therefore, the angle the 14 foot long wire must make with the gound is approximately 51 degrees.

learn more on right angle triangle here: brainly.com/question/15019051

#SPJ1

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A coffee shop sold 7 cups,3 pints, and 9 quarts of coffee. Express the number of cups of coffee sold in base 2
sweet-ann [11.9K]

Answer:

The total number of cups of coffee sold are 51 which can be expressed in base 2 as 110011.

Step-by-step explanation:

Considering the following information

  • 1 cup = 1 cup
  • 7 pints = 14 cups      ∵ 1 pint = 2 cups
  • 9 quarts = 36 cups    ∵ 1 quart = 4 cups

So, total number of cups will be = 51 cups

Converting 51 to the base 2

Divide  51 by 2 by repeatedly and observe remainder

\frac{51}{2}=25\quad \mathrm{Remainder}\quad \:1

\frac{25}{2}=12\quad \mathrm{Remainder}\quad \:1

\frac{12}{2}=6\quad \mathrm{Remainder}\quad \:0

\frac{6}{2}=3\quad \mathrm{Remainder}\quad \:0

\frac{3}{2}=1\quad \mathrm{Remainder}\quad \:1

\frac{1}{2}=0\quad \mathrm{Remainder}\quad \:1

Read and observe the remainder from top to bottom would yield 110011.

Therefore, the total number of cups of coffee sold are 51 which can be expressed in base 2 as 110011.

<em>Keywords: base 2, number</em>

<em> Learn more about number bases from brainly.com/question/13725148</em>

<em> #learnwithBrainly</em>

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This is because this is the angle after the transformation, and the angle did not change.
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