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suter [353]
3 years ago
9

Saige's spaceship traveled 588 588588 kilometers ( km ) (km)left parenthesis, start text, k, m, end text, right parenthesis in 6

0 6060 seconds ( s ) (s)left parenthesis, start text, s, end text, right parenthesis. Determine whether or not each spaceship trip below has the same speed as Saige's spaceship. Has the same speed as Saige's spaceship Does not have the same speed as Saige's spaceship 441 km 441km441, start text, k, m, end text in 45 s 45s45, start text, s, end text 215 km 215km215, start text, k, m, end text in 25 s 25s25, start text, s, end text 649 km 649km649, start text, k, m, end text in 110 s 110s110, start text, s, end text
Mathematics
1 answer:
pshichka [43]3 years ago
8 0

Answer:

The first ship has the same speed as Saige's ship while the second and third do not have the same speed.

Step-by-step explanation:

d = Distance traveled by Saige's spaceship = 588 km

t = Time taken = 60 seconds

Speed is given by

s=\dfrac{d}{t}\\\Rightarrow s=\dfrac{588}{60}\\\Rightarrow s=9.8\ \text{km/s}

The other ships

s=\dfrac{441}{45}=9.8\ \text{km/s}

s=\dfrac{215}{25}=8.6\ \text{km/s}

s=\dfrac{649}{110}=5.9\ \text{km/s}

So, the first ship has the same speed as Saige's ship while the second and third do not have the same speed.

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Question 2 help please
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Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

  • In any triangle, the sum of the measures of its interior angle is 180°
  • In the isosceles triangle, the two base angles are equal in measures

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

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3 years ago
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Step-by-step explanation:

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Hope this helps and sorry if I'm wrong.

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