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shutvik [7]
3 years ago
13

Mentalmath grade 3 $1.00-$0.37

Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

$0.63

Step-by-step explanation:

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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0
1 year ago
Mrs. Johnson wants to take her class to the fair. The bus will cost $200 and the fair charges $4 per student. She has a $300 bud
omeli [17]

Answer:

This is simple,

Step-by-step explanation:

If the bus costs 200$ and the fair charges 4$ per students that means you have to do this:

300$ budget - 200 of the bus = 100$ left

and if $4 per student:

100 divided by 4 = 25

she can take 25 students

Hope this helps!

5 0
3 years ago
The lenght of a rope is 2.589 yards.round the lenght to the nearest tenth of a yard.
Sphinxa [80]
Please mark me brainiest i think the answer is 2.600
5 0
4 years ago
Carter is selling his bike. His research shows that the bike has a current value of $90, which is 45% of the amount Carter paid
GaryK [48]

Carter paid $200 for the bike.

Step-by-step explanation:

Given,

Current value of bike = $90

This represent 45% of the original amount Carter paid for bike.

Let,

x represent the original amount of bike.

45% of x = 90

\frac{45}{100}x=90\\\\0.45x=90

Dividing both sides by 0.45

\frac{0.45x}{0.45}=\frac{90}{0.45}\\x=200

Carter paid $200 for the bike.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/899976
  • brainly.com/question/884169

#LearnwithBrainly

6 0
3 years ago
You can afford a $1150 per month mortgage payment. You've found a 30 year loan at 8: interest compounded monthly. a) How big of
jarptica [38.1K]

Answer:

PV= Max Loan amount = PMT*B(i,T) and PMT = 1200. Calculate B(i,T) = B(6%/12, 360)

=(12/.06)(1-(1/(1.005))360)  I will let you complete the calculation

Step-by-step explanation:

3 0
3 years ago
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