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Alenkasestr [34]
3 years ago
11

A teacher runs a total of 48 city blocks in a rectangular pattern. If the width of the run is 3x and the length of the run is 5x

+ 4, what is the perimeter of the path the teacher runs? all you have to do is a equation don't solve it :)
Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

P = 16x + 8

Step-by-step explanation:

Perimeter of a rectangle

= 2(L + W)

Given

L = 5x + 4 and

W = 3x

Therefore

Perimeter = 2(5x + 4 + 3x)

Rearrange the expression

P = 2(5x + 3x + 4)

P = 2(8x + 4)

Now expand the bracket

P = 2 x 8x + 2 x 4

P = 16x + 8

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What does 5/8 plus 3/4 equal
densk [106]

Answer:

1 3/8

Step-by-step explanation:

4 0
2 years ago
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A segment has endpoints at (-2,3) and (7,9), How long is the segment?
trasher [3.6K]
l=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(7-(-2))^2+(9-3)^2}=\sqrt{9^2+6^2}\\=\sqrt{81+36}=\sqrt{117}=10.82 \ units
4 0
3 years ago
three cones have a volume of 192π cm³.Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm. fin
andrew11 [14]

9514 1404 393

Answer:

  A: 144 cm

  B: 64 cm

  C: 36 cm

Step-by-step explanation:

The volume of a cone is given by ...

  V = (1/3)πr²h

Solving for h, we get ...

  3V/(πr²) = h

Filling in the given values, we get ...

  3(192π)/(πr²) = h

  576/r² = h

Then the heights of the different cones are ...

  A: r = 2, h = 576/4 = 144 . . . cm

  B: r = 3, h = 576/9 = 64 . . . cm

  C: r = 4, h = 576/16 = 36 . . . cm

8 0
3 years ago
Please help me!!!!!​ i need full answer.
salantis [7]

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( \frac{x+y}{2})sin (\frac{x-y}{2} )

sin x - sin y = 2cos (\frac{x+y}{2} )sin (\frac{x-y}{2} )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin(\frac{A+B}{2})sin(\frac{A-B}{2} ) ]² + [ 2cos(\frac{A+B}{2} )sin(\frac{A-B}{2} ) ]²

= 4sin² (\frac{A+B}{2} )sin² (\frac{A-B}{2} ) + 4cos² (\frac{A+B}{2} )sin² ( \frac{A-B}{2} )

= 4sin² (\frac{A-B}{2} )[ sin² ( \frac{A+B}{2} ) + cos² ( \frac{A+B}{2} ) ← sin²x + cos²x = 1

= 4sin² ( \frac{A-B}{2} ) × 1

= 4sin² ( \frac{A-B}{2} ) = right side ⇒ proven

4 0
3 years ago
What are three equivalent ratios 14/2
Taya2010 [7]

Answer:

  • 7/1
  • 21/3
  • 532/76

Step-by-step explanation:

Reduce the ratio to lowest terms, then multiply numerator and denominator by any same value to get another equivalent.

  \dfrac{14}{2}=\dfrac{2\cdot 7}{2\cdot 1}=\dfrac{7}{1}\\\\=\dfrac{3\cdot 7}{3\cdot 1}=\dfrac{21}{3}\\\\=\dfrac{76\cdot 7}{76\cdot 1}=\dfrac{532}{76}

3 0
2 years ago
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