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2 years ago

A square field has a perimeter of 48cm find the area of the field

Mathematics

2 answers:

BabaBlast [244]2 years ago

7 0

Answer:

2,304

Step-by-step explanation:

u multiply one length by it widgth so 48 x 48

faust18 [17]2 years ago

3 0

Answer:

144 m

Step-by-step explanation:

Here , The perimeter of a square=48 m.

Area=?

Since,each side of a square= perimeter/4

=48/4

=12m.

Hence, the area of the square=(side)²

=(12)².

=144 m² Ans.

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Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6

shtirl [24]

If Sandra mixes x L of 65% solution with y L of 90% solution, then the resulting mixture has a total volume of

x + y = 500

litres, and it contains

0.65x + 0.90y = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for y :

y = 500 - x

Substitute this into the second equation and solve for x :

0.65x + 0.90 (500 - x) = 375

0.65x + 450 - 0.90x = 375

75 = 0.25x

x = 300

Solve for y :

y = 500 - 300

y = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

8 0

2 years ago

Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

Solution:

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$