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IgorLugansk [536]
3 years ago
7

The table shows the distance Shannon ran over a week.

Mathematics
1 answer:
Sedbober [7]3 years ago
8 0

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

  • Distance run on Friday = 4/2 = 2 km
  • Distance run on Saturday = 1/2 = 0.5 km

  • In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

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xz_007 [3.2K]

Answer:

The height of the vase is h=10.75\ cm

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

V=45\ cm^{3}

r=2\ cm

\pi =3.14

substitute and solve for h

45=\frac{1}{3}(3.14)(2)^{2} h

135=(3.14)(4)h

135=12.56h

h=135/12.56

h=10.75\ cm

3 0
4 years ago
Write p(x) = 21 + 24x + 6x2 in vertex form.
Helen [10]
To do this, complete the square:

p(x) = 21 + 24x + 6x2  =>  <span>p(x) = 6x2 + 24x + 21

Rewrite the first 2 terms as


                                                   6(x^2 + 4x)

then you have </span><span>p(x) =  6(x2 + 4x                           ) + 21
                            
Now complete the square of x^2 + 4x:

                         p(x) = 6(x^2 + 4x + 4 - 4)            + 21
                                 = 6(x+2)^2 - 24 + 21

                          p(x)  = 6(x+2)^2 - 3        this is in vertex form now.

We can read off the coordinates of the vertex from this:  (-2, -3)</span>
8 0
3 years ago
Franklin Construction Company build a sidewalk around two sides of a new library, as shown in the figure. what is the area of th
PtichkaEL [24]

Answer:

630.36\ ft^2

Step-by-step explanation:

we know that

To find out the area of the sidewalk, multiply the length by the width of the sidewalk

The width of the sidewalk is equal to

113.4\ ft-110\ ft=3.4\ ft

or

75.4\ ft-72\ ft=3.4\ ft

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113.4(3.4)+72(3.4)\\385.56+244.8\\630.36\ ft^2

4 0
3 years ago
A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 labor-hour s for assembling and
aev [14]

Answer:

See Annex   In blue feasible region ( using Geogebra)

Step-by-step explanation:

Table 1.-

                                         Assembling hours           finishing hours

Product (tables)  x                         8                                    2

Product ( chairs)  y                         2                                    1

Availability                                  400                                  120

Constrains:

1.-Availability of assembling hours  400

8*x   +  2* y    ≤  400

2.-Availability of Finishing hours

2*x  + 1*y  ≤  120

3.-General constraints

x ≥ 0    y  ≥  0   integers

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3 years ago
In my school there are 500 students. 20% of
S_A_V [24]

Answer:

It is do not we're spectacles

5 0
3 years ago
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