The length of a rectangle is 3 centimeters more than 3 times the width. if the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle. length = 18 cm; width = 5 cm length = 5 cm; width = 18 cm length = 13 cm; width = 8 cm length = 13 cm; width = 5 cm

Length=18 cm

&, width=5 cm

Explanation:

Let,

length of rectangle= L

width of rectangle= W

Then according to question,

length = 3cm more than 3 times width

L= 3 + 3×W

L= 3 + 3W➡ Eqn(1)

Also,

perimeter=2×(length + width)

46= 2L+2W

46=2×(3+3W)+2W➡eqn(1) is used

46-6=8W

40=8W

W=5 cm

Thus,from above eqn,

L=3+3×5

L=18 cm

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: