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3 years ago

What is the area of a square with sides of length 2 1/2 cm?

Mathematics

2 answers:

Dafna1 [17]3 years ago

6 0

Area of square = 4L
= 4 * 2 1/2
= 10 cm

kondor19780726 [428]3 years ago

6 0

The sides of a square are all the same therefore you should multiply 2 1/2 * 4 = and get 10.

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2 years ago

Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins

Nikitich [7]

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

q + n = 70, 0.25q + 0.05n = 7.50

the first equation can be changed to q = 70 - n, so we are able to substitute q with 70 - n.

So, it will look like 0.25*70 - 0.25n + 0.05n = 7.50. This can be simplified to 0.2n = 10, which means that n = 50.

Knowing that we can solve q + 50 = 70, which means that q = 20.

6 0

3 years ago

The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the

vagabundo [1.1K]

Let $L$ be the length of the rectangle and $W$ be the width. In the problem it is given that $L=2W-3$ . It is also given that the area $LW=27$ . Substituting in the length in terms of width, we have $W(2W-3)=27 \\ 2W^2-3W-27=0 \\ (2W-9)(W+3)=0$ . Using the zero product property, $2W-9=0 \text{ or } W+3=0$ . Solving these we get the width $W=4.5 \text{ or } -3$ . However, it doesn't make sense for the width to be negative, so the width must be $\boxed{4.5 \text{ m}}$ . From that we can tell the length $L=2(4.5)-3=\boxed{6 \text{ m}}$ .

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3 years ago

Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water

galben [10]

Answer:

a.) depth of the lake = (volume of the lake) / area of lake

= 173,693,585,360,000 / 624,305,840,400 = 278.22 feet

b.) 11 inches = 0.9167 feet

Water gained in cubic feet gained by the lake

= 624,305,840,400 $\times$ 0.9167

= 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

= 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

= 0.0033

= 0.33%

Step-by-step explanation:

i) acres to square feet : 1 acre = 43560 square feet

therefore 14,332,090 acres = 624,305,840,400 square feet

ii) 1 mile = 5280 feet

1 cubic mile = 5280 $\times$ 5280 $\times$ 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles = 173,693,585,360,000 cubic feet

a.) depth of the lake = (volume of the lake) / area of lake

= 173,693,585,360,000 / 624,305,840,400 = 278.22 feet

b.) 11 inches = 0.9167 feet

Water gained in cubic feet gained by the lake

= 624,305,840,400 $\times$ 0.9167 = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

= 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

= 0.0033

= 0.33%

7 0

4 years ago

The length of a side of an equilateral triangle is 40cm. what is the length of the altitude of the triangle?

podryga [215]

Answer:

20√3 cm

Step-by-step explanation:

Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.

Let the altitude be x. Then as per Pythagorean theorem:

x² = 40² - (40/2)²
x²= 1600 -400
x²= 1200
x= √1200
x= 20√3 cm

Correct choice is the second one

4 0

3 years ago