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3 years ago

L is perpendicular to y=5x

Mathematics

1 answer:

geniusboy [140]3 years ago

6 0

Equation: y = 5x
perpendicular slope = -1/5

Equation of L: y = -1/5 x

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Sean is a bookworm on average he reads 1 1/2 pages in 3 1/3 min. Sean's average unit rate is?

kiruha [24]

1 1/2 = 3/2

3 1/3 = 10/3

3/2 / 10/3 = 3/2 x 3/10 = 9/20

answer
unit rate = 9/20 pages per minute

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3 years ago

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17. A gardener is installing a fence around his garden. Let x represent the width of

Serhud [2]

Hey there!

Answer:

B. 3x + 4 ft.

Step-by-step explanation:

Remember that:

Perimeter of a rectangle: P = 2l + 2w

Given:

P = 8x + 8

w = x.

Plug the given information into the equation:

8x + 8 = 2l + 2x

Subtract 2x from both sides:

6x + 8 = 2l

Divide both sides by 2:

(6x + 8)/2 = 2l/2

3x + 4 = l.

Therefore, the length of the garden is:

l = 3x + 4 ft.

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3 years ago

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The total surface area of a cube is 294cm² work out the volume of the cube

olga nikolaevna [1]

Answer: The correct answer would be V=343cm³

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I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.

elena-14-01-66 [18.8K]

Hello,

$m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\$

$cos(30^o)=\dfrac{\sqrt{3} }{2} \\$

In the triangle ABC,

$cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\$

$sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}$

In the triangle ACB,

$cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\$

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2 years ago

One astronomical unit is about 93,000,000 miles. At 20,000 miles per hour how many astronomical units can Orion travel? ( Orion

uranmaximum [27]

Answer:

$2.15\times 10^{-4}\ AU$

Step-by-step explanation:

Given that:-

The speed of the orion= 20,000 miles per hour

Time = 1 hour ( From source )

Thus,

Distance = Speed * Time = 20,000*1 miles = 20,000 miles

Thus, in 1 hour, the orion can travel 20,000 miles

Also,

93,000,000 miles = 1 astronomical unit

1 mile = 1/93,000,000 astronomical unit

20,000 miles = (1/93,000,000)*20,000 astronomical unit

The orion can travel $2.15\times 10^{-4}$ AU in one hour.

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3 years ago