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alex41 [277]
3 years ago
6

In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a

nd leg BC at points P and N respectively. Find: AC:PC
Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

AC : PC = 8 : 5

Step-by-step explanation:

Parallel lines divide any transversal into segments with the same ratio. That means ...

... AP : PC = AM : MD = 3 : 5

Since AC = AP + PC, the desired ratio is ...

... AC : PC = (AP+PC) : PC = (3+5) : 5

... AC : PC = 8 : 5

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Rasek [7]
6.5c + 9.7a = 1721.4
a = 4c

6.5c + 9.7(4c) = 1721.4
6.5c + 38.8c = 1721.4
45.3c = 1721.4
c = 1721.4 / 45.3
c = 38...so there were 38 childrens' tickets <==
and 152 adult tickets
4 0
3 years ago
A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns
jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered  

 Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = \frac{d}{15-x}

time downstream = \frac{d}{15+x}

the ferry trip upstream takes twice as long as its return trip downstream

\frac{d}{15-x}= \frac{2d}{15+x}

divide both sides by d

\frac{1}{15-x}= \frac{2}{15+x}

cross multiply

15+x= 2(15-x)

15+x= 30-2x

Add 2x on both sideds

15+3x= 30

subtract 15 from both sides and divide by 3

3x=15

x=5

Speed of river's current = 5 mph

8 0
3 years ago
Last Friday Adam had $22.33. Over the weekend he received some money for cleaning the attic he now has $32 how much money did he
defon

Answer:

9.67

Step-by-step explanation:

32-22.33=9.67

Hope it helps ;)

8 0
3 years ago
Read 2 more answers
How to find the Perimeter?
SOVA2 [1]

Answer:

8+2\sqrt{20\\}\\

Step-by-step explanation:

2+2+2+2+\sqrt{20\\}\\+\sqrt{20\\}\\=8+2\sqrt{20\\}\\

4^2+2^2=h^2

20=h^2

h=\sqrt{20\\}\\

7 0
3 years ago
A bathtub is the shape of a rectangular prism. The dimensions are 5 1/2 ft times 2 1/2 ft times 2 3/4 ft. What is the volume of
Sav [38]

Answer:

37 \frac{13}{16}  ft^3

Step-by-step explanation:

A rectangular prism is also know as a cuboid.

The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.

The volume of a cuboid (rectangular prism) is given as:

V = L * B * H

Hence, the volume of the bath tub is:

V = 5½  * 2½ * 2¾

V = 11/2 * 5/2 * 11/4

V = 605 / 16 = 37 \frac{13}{16}  ft^3

The volume of the bath tub is 37 \frac{13}{16}  ft^3

5 0
3 years ago
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