3 years ago

Work out, giving your answer as a mixed number:

Mathematics

2 answers:

anyanavicka [17]3 years ago

8 0

Answer:

1 11/20

Step-by-step explanation:

hope this helps! :)

kykrilka [37]3 years ago

4 0

Answer:

$1 \frac{11}{20}$

Step-by-step explanation:

$3 \frac{3}{4} - 2 \frac{1}{5} \\ \\ = 3.75 - 2.2 \\ \\ = 1.55 \\ \\ = \frac{155}{100} \\ \\ = 1 \frac{55}{100} \\ \\ = 1 \frac{11}{20}$

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The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle if its area is 195 squa

JulijaS [17]

Answer:

Length=15 cm

Width=13 cm

Step-by-step explanation:

-Let x be the width dimension, the length will be (x-2)

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$A=lw$

#We substitute the length and width values and equate to the given area:

$A=lw\\195=x\times (x-2)\\\\195=x^2-2x$

#Rewrite as a quadratic and solve for x:

$195=x^2-2x\\\\x^2-2x-195=0\\\\\# Use \ the \ Quadratic\ formula \ to\ solve:\\\\x_1,x_2=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\therefore x_1,x_2=\frac{-(-2)\pm\sqrt{(-2)^2-4\times 1\times(-195)}}{2\times 1}\\\\\\x_1=15, x_2=-13$

Since dimensions are always positve, the x value is 15

x=15

x=13

Hence, the dimensions of the rectangle are length=15 cm and width=13 cm

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3 years ago

The area of the top of a rectangular prism is 20 cm 2 . The area of the front is 16 cm 2 and the area of one side is 24 cm 2 . W

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The surface area is given by:
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Answer:
The surface area of the rectangular prism is:
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