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kow [346]
3 years ago
12

A train leaves New York for Boston, 200 miles away, at 4:00 P.M. and averages 75 mph. Another train leaves Boston for New York o

n an adjacent set of tracks at 5:00 P.M. and averages 40 mph. At what time will the trains meet? (Round to the nearest minute.)
Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
Approximately 6.05pm, 44 miles from Boston
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Solve the inequality<br> 3n + 2 &gt; 17
Sergio039 [100]

Answer:

n > 5

Step-by-step explanation:

6 0
3 years ago
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Lori creates the following design for a T-shirt.
kakasveta [241]

<u>Solution-</u>

From the figure,

AE = 2.4

EB = 2.8

BC = 11.7


Area of rectangle 1 = 8.68 sq.in

\Rightarrow FH \times HI=8.68

\Rightarrow EB \times HI=8.68  (∵ sides of the rectangle 2)

\Rightarrow 2.8 \times HI=8.68

\Rightarrow HI=3.1


Area of Triangle 1 = 6.48 sq.in

\Rightarrow \frac{1}{2}\times AE \times EG= 6.48

\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48

\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48  (∵ sides of the rectangle 1)

\Rightarrow EF+3.1= 5.4

\Rightarrow EF=2.3

\Rightarrow BH=2.3  (∵ sides of the rectangle 2)


BC = BH+HI+IC

\Rightarrow 11.7= 2.3+3.1+IC

\Rightarrow IC=6.3


The area of Rectangle 2,

=EB\times BH =2.8\times 2.3=6.44\ sq.in


The area of Triangle 2,

\frac{1}{2}\times GI \times IC=\frac{1}{2}\times EB \times IC=\frac{1}{2}\times 2.8 \times 6.3=8.82\ sq.in


The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2

= 6.48+8.68+8.82+6.44=30.42 sq.in


6 0
3 years ago
Help please I will be marking brainliest!!!
Serhud [2]

Answer:

Radius of the circle = 119

Step-by-step explanation:

here's the solution :-

we know that the perpendicular from centre to any chord bisects the chord so,

=》AT = 1/2 × OT

=》AT = 1/2 × 210

=》AT = 105

now, join VT ( by construction )

so, triangle VTA is a right angled triangle, with right angle on A.

now, by pythagorous theorem,

=》VT^2 = VA^2 + AT^2

=》VT^2 = (56)^2 + (105)^2

=》VT^2 = 3136 + 11025

=》VT =

\sqrt{14161}

=》VT = 119

and VT joins the centre of the circle with the circumference, hence VT is the radius of the circle .

7 0
3 years ago
Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation ca
labwork [276]
5x+70=320 I think that might be it tell me if its wrong
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What is the slope for (20,8) and (4,4)
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m=\frac{1}{4}

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