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ki77a [65]
2 years ago
11

Jamal ran 8 kilometers sprinted 500 meters and climbed bleachers for a distance of 1.5 kilometers during track practice. How man

y meters in total did he travel during practice?
Mathematics
1 answer:
Sindrei [870]2 years ago
7 0

Answer:

Total distance traveled = 10000 meters

Step-by-step explanation:

1000 meters = 1 kilometers

Hence 8 kilometers = 8000 meters and 1.5 kilometers = 1500 meters

Total distance traveled = 10000 meters

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onsider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutti
Sholpan [36]

Answer:

V (max)  = 2 ft³

and x side of the base is  x  =  0,5 feet

Step-by-step explanation:  See annex ( two different cubes)

We have a square piece of cardboard of  3 inches wide

Let  x be lenght of side to cut in each corner

Then the base of the (future cube) is    3  -  2x,  and the area is  

( 3 - 2x )²

And  the height   is x  Then volume of the cube as a function of x is:

V(x)  =  ( 3 - 2x )² *x   or       V(x)  =    ( 9 + 4x² - 12x )*x

V(x)  =  4x³  -  12x²  + 9x

Taking derivatives on both sides of the equation

V´(x)  =  12x² - 24x  + 9

V´(x)  =  0       12x² - 24x  + 9  =  0   simplifying   4x² - 8x  + 3  =  0

Second degree equation solving for x

x₁,₂ =  [ 24 ± √( 576) - 432  /24

x₁,₂ =  [24 ±√144 ]/24

x₁,₂ = ( 24 ± 12) /24         x₁  =  1.5 feet        x₂  = 0,5 feet

Of these two values we have to dismiss x₁  because if  x = 1.5 we don´t have a cube ( 0 height )

Then we take x  = 0,5  feet

And

V (max)  =  (2)²*0,5   =  4*0,5

V (max)  = 2 ft³

5 0
3 years ago
list the pair of congruent angles and the extended proportion that relations the corresponding sides for the similar polygons KL
kherson [118]

Answer:  

In Polygons KLMNP and HGFDC,

Angles K, L, M, N and P are corresponding to H, G, F, D and C,

And, Sides KL, LM, MN, NP and PK are corresponding to sides HG, GF, FD, DC and CH

If the two figures are similar then their corresponding sides and angles are congruent.

Therefore, If  Polygon KLMNP is similar to HGFDC,

Then, ∠ K ≅ ∠ H,  ∠ L ≅ ∠ G,  ∠ M ≅ ∠ F,  ∠ N ≅ ∠ D,   ∠ P ≅ ∠ C

And, KL ≅ HG,  LM ≅ GF,  MN≅FD,  NP≅DC,  PK≅CH

7 0
3 years ago
A farmer has 3/4 acre of land. He will use all the land and plant different vegetables in 1/16 -acre sections. How many sections
kati45 [8]

Answer: 12 sections of 1/16 acre

Step-by-step explanation:

We want to find how many sections of 1/16 acre we can have in a total area of 3/4 acre.

This is equal to the quotient between 3/4 and 1/16

Remember that if we have two rational numbers (a/b) and (c/d) the quotient can be writen as:

(a/b)/(c/d) = (a/b)*(d/c) = (a*d)/(b*c)

The quotient we want to solve is:

(3/4)/(1/16) = (3/4)*(16/1) = (3*16)/4 = 12

Then you can have 12 sections of 1/16 acre

8 0
3 years ago
PLEASE HELP ME AND EXPLAIN.
Ann [662]

Answer:

9*8=72 which would be more than enough to cover the wall

8 0
2 years ago
Which equation would help determine the cost of 7 markers?
LUCKY_DIMON [66]
You would multiply the cost of each by the number you want to bye and then you get your total it should look like this: C*7=T C is the cost and T is the total hope this helps
8 0
3 years ago
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