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uranmaximum [27]
2 years ago
14

Find the area of the shapes below. Make sure to label your answers with units.

Mathematics
2 answers:
maw [93]2 years ago
7 0

Answer:

Step-by-step explanation:

<h2>Area of shapes</h2><h3> a) Triangle</h3>

  base = b = 7  km

  altitude or height = h = 3.8 km

     \sf \boxed{\text{\bf Area of triangle =$\dfrac{1}{2}b*h$ }}

                                    = \dfrac{1}{2}*7*3.8\\\\= 7 * 1.9\\\\= 13.3 \ km^2

<h3>b) Rectangle:</h3>

     length = l = 8.2 cm

     width  = w = 7 cm

      \sf \boxed{\text{\bf Area of rectangle = l*w}}

                                        = 8.2 * 7

                                        = 57.4 cm²

<h3>c) Parallelogram</h3>

            base = b = 9.1 km

           height = h = 5 km

\sf \boxed{\text{\bf Area of parallellogram =b*h}}

                                          = 9.1 * 5

                                          = 45.5 km²

<h3>d) Trapezium</h3>

           Parallel sides a = 8.9 m  & b =  2.7 m

           height = h = 4.2 m

\sf \boxed{\text{\bf Area of trapezium =$\dfrac{(a +b)*h}{2}$}}

                                   \sf =\dfrac{(8.9+2.7)*4.2}{2}\\\\=\dfrac{11.6*4.2}{2}\\\\= 5.8 * 4.2\\\\= 24.36 \ m^2

Alborosie2 years ago
6 0

Answer:  

1# 13.3 Km

2# 57.4 Km

3# 45.5 Km

4# 24.36 Km

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Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.
const2013 [10]

Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH

<h3>How to determine the correct rephrase of the proof about parallelogram diagonals</h3>

The diagonals refer to the lines running between the two opposite ends of the parallelogram

Bisecting means sharing into two equal parts

congruent means a copy that is equal in dimension hence can be used in place of the other image  

The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.

Learn more on diagonals of a parallelogram

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3 0
1 year ago
A triangular course for a canoe race is marked with buoys. The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg
balu736 [363]
<h2>The race is 1.2 miles long</h2>

Step-by-step explanation:

The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg is 2/5 mi.

\texttt{Length of first leg = }\frac{3}{10}miles\\\\\texttt{Length of second leg = }\frac{1}{2}miles\\\\\texttt{Length of third leg = }\frac{2}{5}miles

Now we need to find length of race

       \texttt{Total length = }\frac{3}{10}+\frac{1}{2}+\frac{2}{5}\\\\\texttt{Total length = }\frac{3}{10}+\frac{5}{10}+\frac{4}{10}\\\\\texttt{Total length = }\frac{3+5+4}{10}\\\\\texttt{Total length = }\frac{12}{10}\\\\\texttt{Total length = }1.2miles

The race is 1.2 miles long

7 0
3 years ago
What is the solution to the system of equations?
MariettaO [177]

Answer:

x=-4 y=-1

Step-by-step explanation:

Let's solve your system by substitution.

−3x−8y=20;y=5x+19

Rewrite equations:

y=5x+19;−3x−8y=20

Step: Solve y=5x+19for y:

y=5x+19

Step: Substitute5x+19foryin−3x−8y=20:

−3x−8y=20

−3x−8(5x+19)=20

−43x−152=20(Simplify both sides of the equation)

−43x−152+152=20+152(Add 152 to both sides)

−43x=172

−43x

−43

=

172

−43

(Divide both sides by -43)

x=−4

Step: Substitute−4forxiny=5x+19:

y=5x+19

y=(5)(−4)+19

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

 

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Taven mixes 18 liters of 14% acid solution with a 35% acid solution, which results in 23% acid solution.
miv72 [106K]
(0.35x + 0.14 * 18) / y = 0.23
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Step-by-step explanation:

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