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suter [353]
3 years ago
8

What is the base of a rectangle if it has an area of 100 m² and a height of 5m?

Mathematics
1 answer:
givi [52]3 years ago
3 0
B*H = area of rectangle so do 100/5 to get base so Base=20m
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The sides of a square field are 28 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co
Ulleksa [173]

Answer:

168.24784 m²

Step-by-step explanation:

Area of the square:

28 x 28=784 sq. m.

Area of the circle:

π(r²)=π(14)²=196π

    =615.75216

Area not covered by the sprinkler:

784-615.75216=168.24784 m²

6 0
3 years ago
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SOMEONE PLEASE HELP!<br>Set up an inequality showing that the radicand cannot be negative.
Stolb23 [73]

Answer:

3t-9 >= 0

Step-by-step explanation:

Original function f(t)= square root 3t-9

There cannot be a negative in the radicand therefore 3t-9 cannot equal a negative number.  

6 0
4 years ago
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When 3 is subtracted from one third of a number less than 6. Which inequality and solution represents this sitution?
kenny6666 [7]

Answer:

1/3(n) - 3 < 6; n < 27

Step-by-step explanation:

" 3 subtracted from one third of a number"

= 1/3(n) - 3

given that this is less than 6:

1/3(n) - 3 < 6

1/3(n) < 6 +3

1/3(n) < 9

n < 27

5 0
3 years ago
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Please help and show all work so I can fully understand it, thanks.
seraphim [82]

Answer:

\frac{1}{m-4}

Step-by-step explanation:

\frac{\frac{4m-5}{m^4 -7m^3 +12m^2}}{\frac{4m-5}{m^3 -3m^2}}

Factor the equation:

\frac{\frac{4m-5}{m^2(m^2 -7m+12)}}{\frac{4m-5}{m^2(m-3)}}

\frac{\frac{4m-5}{m^2(m-3)(m-4)}}{\frac{4m-5}{m^2(m-3)}}

Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).

\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}

Simplify, take out common terms that are found on both the numerator and denominator

\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}

\frac{1}{m-4}

4 0
3 years ago
an angle bisector of a triangle divides the opposite side of the triangles into segments 6cm and 4cm long. A second side of tria
Dovator [93]
From the angle bisector theorem
we can first assume the third side is x, therefore
7.4/6 = x/4
    x = 7.4 × 4/6
     x =  4.93 cm
We can also use, 
7.4/4 = x/6
      x = 7.4 ×6/4
      x = 11.1 cm
Therefore, the shortest length of the third side is 4.93 cm while the longest length is 11. 1 cm
6 0
3 years ago
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