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Korolek [52]
3 years ago
14

Find the equation of the line through point (10,4) and parallel to 3x+5y=8.

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0
Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
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Step-by-step explanation:

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3 years ago
The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to co
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Answer:

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Volume of CN Tower Prism = 2671 cm^2

Step-by-step explanation:

Given

Height of Burj Khalifa = 828 m

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Base of rectangular prism is a square with sides <em>10 cm </em>\times<em> 10 cm</em>.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

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V=Area\ of\ Base \times Height

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V_B=10^2 \times 40 = 4000\ cm^2

Volume of CN Tower Prism:

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Volume of Burj Khalifa Prism = <em>4000</em> cm^2

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4 0
2 years ago
A jet is coming in for a landing. It's currently 25,000 feet in
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The angle of depression is 29.0521°. So it is a safe landing.

Step-by-step explanation:

Step 1:

The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.

So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.

To determine the value of x, we calculate the tan of the given triangle.

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So x = 29.0521°. Since x < 30°, it is a safe landing.

8 0
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