Fractions and Decimals
Convert the given decimal into a mixed fraction (do not simplify).
414.939
414 939/1000
4.76-(-2.1)
6.86
-4.9x+88.2 = 24.5
x = 13
Compute the exact square root of 441.
21
The length of one leg of a right triangle is 6m and the length of the hypotenuse is 10m. Find the exact length of the other leg.
8m
Convert the given fraction into a decimal
59/16
3.6875
-2.12+8.1
5.98
-5.8x +0.32+0.2x = -6.96
x=1.3
Compute the exact square root of 3.61 .
1.9
The length of two legs of a right triangle are 6m and 22m. Find the exact length of the hypotenuse.
the square root of 520 m
Convert the given fraction to a decimal.
61/15
4.06666...
(7.81)(-5.5)
-42.955
6.24x - 5.2 = 5.2x
x = 5
Compute the exact square root of 225/16.
15/4
the length of two legs of a right triangle are 3 meters and 18 meters. Find the length of the hypotenuse. Round your answer to the nearest hundredth.
18.25m
Simplify by first converting the fraction into a terminating decimal.
7/5 +5.31
6.71
(-0.119)/(0.85)
-0.14
0.9(0.4x+2.5)-2.5 = -1.9(0.8x+3.1)
x = -3
-4-3(square root of 529)
-73
Mrs. Smith and Mrs. Schumaker are planning a 13m by 18m rectangular garden, and are laying it out using string. They would like to know the length of the diagonal to make sure right angles are formed. Find the length of a diagonal. Round your answer to the nearest hundredth.
22.20m
Simplify by first converting the decimal to a fraction.
-2/3+0.9
7/30
(-8.1)(9.4)-(1.8)^2
-79.38
Ashley needs to create a rectangular garden plot covering 115 square meters. If the width of the plot is 6.8 meters, find the length of the plot. Round your answer to the nearest tenth of a meter.
16.9m
What is the square root of (5^2+12^2)
13
A 10-foot ladder leans against the wall of a house. How close to the wall must the bottom of the ladder be in order to reach a window 8 feet above the ground?
6 ft