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2 years ago

The total area of Canada is 9 984 670 km2. Calculate the side length of a square with the same area. Show your work.

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

Answer:

3159.853 km

Step-by-step explanation:

The question says a square has an area of 9,984,670 km^2, which means that all sides are the same length. So you can use the equation:

9984670 = (x)(x) which rearranges to 998470 = x^2

get the square root and you get:

x = 3159.853 km

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3 years ago

The cross-sectional areas of a right pyramid and a right cylinder are congruent. The pyramid has a height of five units, and a r

Mazyrski [523]

Answer:

the volume of the right cylinder is 1.8 times the volume of the pyramid

Step-by-step explanation:

The volume of a pyramid is

$V = \dfrac{1}{3} \times B\times H$

where the height of the pyramid is 5

$V = \dfrac{1}{3} \times B\times 5$

$V = \dfrac{5}{3} B \ units ^3$

On the other hand, the volume of a right cylinder is

V = BH

where the height of the right cylinder = 3 units

V = 3 B units³

Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:

$\dfrac{V_p}{V_c}= \dfrac{\dfrac{5}{3}B}{3B}$

$\dfrac{V_p}{V_c}= \dfrac{5}{9}$

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2 years ago

A retiree investment $6,000 in a saving plan that pays 4% per year what will the account balance be at the end of the first year

allsm [11]

Answer:

$6,240

Step-by-step explanation:

$6,000 x .04 = 240

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2 years ago

A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%

Hitman42 [59]

Answer:

Amount of vinegar. 100% : 20 milliliters

Amount of Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of vinegar. 100%

Let's call B the amount of Italian dressing . 12% vinegar

The resulting mixture should have 23% vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

$A + B = 160$

Then the total amount of pure antifreeze in the mixture will be:

$A + 0.12B = 0.23 * 160$

$A + 0.12B = 36.8$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:

$-A -B = -160$

$A + 0.12B = 36.8$

--------------------------------------

$-0.88B = -123.2$

$B = \frac{-123.2}{-0.88}$

$B = 140\ milliliters$

We substitute the value of B into one of the two equations and solve for A.

$A + 140 = 160$

$A = 20\ milliliters$

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