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Anna35 [415]
3 years ago
15

PLEASEEEE HELPPPPP MEEEEEE!!!! Find h in the diagrams below.

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

  • 9.6
  • 11.2

Step-by-step explanation:

It is useful to label the diagram so we can talk about the parts. (See the attachment.)

AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.

This similarity means that corresponding sides are proportional:

  CE/CD = DF/DA

  CE = CD(DF/DA) = 16(6/10) = h

  h = 9.6

__

The second problem is identical to the first, but with different numbers.

  CE = CD(DF/DA) = 14(8/10) = h

  h = 11.2

 

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3) HELP ASAP due in 10 min plz
denis-greek [22]

Answer:

5=2×2+1

hope this helps

5 0
3 years ago
Lara’s photo album will hold 5 pictures on each page. She wants to fill all 43 pages with vacation photos. How many photos will
GalinKa [24]

Answer:

The answer is that Lara would need 9 pages to store all her photos.

Step-by-step explanation:

You would need to first divided 43 divided by 5 to get 8.6.

However, you can't have a tenth of a page so you would have to round to 9 so the answer is that Lara would need 9 pages to store all her photos.

3 0
3 years ago
How do you do this question?
irga5000 [103]

Answer:

π/6 [37^(³/₂) − 1] ≈ 117.3187

Step-by-step explanation:

The surface area is:

S = ∫ 2π (x − 0) √(1 + (dx/dy)²) dy

0 ≤ x ≤ 3, so -4 ≤ y ≤ 5.

Find dx/dy.

y = 5 − x²

x² = 5 − y

x = √(5 − y)

dx/dy = ½ (5 − y)^(-½) (-1)

dx/dy = -½ (5 − y)^(-½)

(dx/dy)² = ¼ (5 − y)^(-1)

(dx/dy)² = 1 / (4 (5 − y))

Plug in:

S = ∫₋₄⁵ 2π x √(1 + 1 / (20 − 4y)) dy

S = ∫₋₄⁵ 2π √(5 − y) √(1 + 1 / (4 (5 − y))) dy

S = ∫₋₄⁵ 2π √((5 − y) + 1/4)) dy

S = ∫₋₄⁵ 2π √(5.25 − y) dy

If u = 5.25 − y, then du = -dy.

S = ∫ 2π √u (-du)

S = -2π ∫ √u du

S = -2π (⅔ u^(³/₂))

S = -4π/3 u^(³/₂)

Substitute back:

S = -4π/3 (5.25 − y)^(³/₂)

Evaluate between y=-4 and y=5.

S = [-4π/3 (5.25 − 5)^(³/₂)] − [-4π/3 (5.25 − -4)^(³/₂)]

S = -4π/3 (0.25)^(³/₂) + 4π/3 (9.25)^(³/₂)

S = π/6 [37^(³/₂) − 1]

S ≈ 117.3187

5 0
3 years ago
Alexndra earns $125 from her paper route each month but she spends about $20 each month on personal expenses.To pay for a school
Andrei [34K]
It would take Alexandria 8 months to earn the money. 

125-20= 105 monthly earnings after personal expenses 
800/105= 7.6 which rounds to 8.

8x105= 840

8 0
3 years ago
Read 2 more answers
Which relation is a function?
Marat540 [252]

Answer:

C.) or the third one

Step-by-step explanation:

Each input has one output.

4 0
3 years ago
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