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katen-ka-za [31]
3 years ago
7

A boy starts from walking North at a speed of 1.5m/s and a girl starts walking West at the same point, P at the same time at a s

peed of 2.0m/s. At what rate is the distance between the boy and the girl increasing 6s later?
Mathematics
1 answer:
prisoha [69]3 years ago
3 0

Answer:

15m

Step-by-step explanation:

For every second, the boy walks 1.5 m

So 6 x 1.5 m equals 9 m total

For every second, the girl walks 2m

So 6 x 2 m equals 12 m total

The boy walked North, so it would look like he is walking upward

While the girl walking West looks like she is walking to the left

Finding the distance between them would look like solving a right triangle

We're gonna use the Pythagorean theorem

12² + 9² = distance²

144 + 81 = 225

√225 = 15

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2 years ago
What is the simplified form of this expression 7(^3sqrt2x)-3(^3sqrt16x)-3(^3sqrt8x)
trasher [3.6K]

Answer:

<h2>7 \sqrt[3]{2x}  - 6 \sqrt[3]{2x}  - 6x</h2>

Solution,

7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\  = 7 \sqrt[3]{2x}  - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x}  - 3 \times  \sqrt[3]{2 \times 2 \times 2x}  \\  = 7 \sqrt[3]{2x}  - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\  = 7 \sqrt[3]{2x}  - 3 \times 2 \times  \sqrt[3]{2x}  - 3 \times 2x \\  = 7 \sqrt[3]{2x}  - 6 \sqrt[3]{2x}  - 6x

Hope this helps...

Good luck on your assignment...

7 0
3 years ago
A pair of parallel lines are cut by a transversal. Which of the following statements about the new angle pairs are now always tr
Hoochie [10]

Answer:

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

Step-by-step explanation:

∵ Lines m and l are parallel

∵ Line t intersects them

∵ Corresponding angles are equal in measures

∴ ∠1 = ∠5 ⇒ corresponding angles

∴ ∠3 = ∠7 ⇒ corresponding angles

∴ ∠2 = ∠6 ⇒ corresponding angles

∴ ∠4 = ∠8 ⇒ corresponding angles

∵ The alternate interior angles are equal in measures

∴ ∠3 = ∠6 ⇒ alternate interior angles

∴ ∠4 = ∠5 ⇒ alternate interior angles

∵ The same side interior angles are supplementary

∴ m∠3 + m∠ 5 = 180° ⇒ same side interior angles

∴ ∠3 and ∠5 are interior supplementary angles

∴ m∠4 + m∠ 6 = 180° ⇒ same side interior angles

∴ ∠4 and ∠6 are interior supplementary angles

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

6 0
2 years ago
What is the angular size of Mars, as seen from the Earth, when it was closest to the Earth?
lesantik [10]

The angular size of Mars, as seen from the Earth, when it was closest to the Earth is 25 arcseconds.

<h3>What is angular size?</h3>

It should be noted that angular size is the object's apparent size as seen from an observer on Earth.

At its closest approach, the angular size of Mars is 25 arcseconds. This was known through the use of a telescope.

Learn more about Mars on:

brainly.com/question/644043

#SPJ1

5 0
1 year ago
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