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goblinko [34]
3 years ago
13

Two rectangles have the same area of 24cm².The second rectangle is 4cm shorter and 1cm wider than the first.What is the length a

nd breadth of both triangles
Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

  First rectangle: 12 cm by 2 cm

  Second rectangle: 8 cm by 3 cm

Step-by-step explanation:

You can examine factor pairs of 24 to see which pairs meet the requirements:

  24 = 1×24 = 2×12 = 3×8 = 4×6

Factor pairs (2, 12) and (3, 8) have one factor that differs by 1 and another factor that differs by 4. We can use these numbers to describe the rectangles:

  First rectangle: 12 cm by 2 cm

  Second rectangle: 8 cm by 3 cm

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A population of 550 rabbits is increasing by 7.5% each year. In about how many years will the population be over 1000?
Dovator [93]

Answer:

D.) 15 years

Step-by-step explanation:

7.5% of 550 rabbits would be 41.25

if you are increasing till you get over 1,000

it would take 10.9 almost 11 years to get to 1,000

meaning it would be 15 years when your over 1,000 giving you 1,168.75

8 0
3 years ago
PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)
ExtremeBDS [4]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 3 &,& -4~) 
%  (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}

\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23

side note:  multiplying by the LCD of both sides is just to get rid of the denominators
5 0
3 years ago
Find the value of 83 - [59 - (22 - 18)]
Kipish [7]
Use order of operations (PEMDAS) 
<span>83-<span>(<span>59-<span>(<span>22-18</span>)</span></span>)
</span></span><span><span>83-<span>(<span>59-4</span>)
</span></span></span><span><span>83-55=</span></span>28

Final answer: 28 
8 0
3 years ago
Read 2 more answers
What is 1000×1000<br><br><br> PLEASE HELP ME
ella [17]

Answer: 1000000

Step-by-step explanation:

5 0
3 years ago
A triangle is in the shape of a 30-60-90 right triangle. If the hypotenuse is 11 cm long, find the length of the shorter leg.
soldier1979 [14.2K]
A 30 60 90 triangle has its shorter side equal to one half the hypotenuse.
So, if hypotenuse = 11 cm then shorter side = 5.5.

Source:
http://www.1728.org/trig2.htm


6 0
3 years ago
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