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3 years ago

A square room has an area of 200 square feet. how long is each wall? show your work to explain why

Mathematics

1 answer:

wlad13 [49]3 years ago

7 0

Answer:

about 14.142ft

Step-by-step explanation:

A square has four equal sides.

The area of a square: length * width = area

Because you know that all of the sides are equal, you can just say:

length * length = area

Multiplying a value (in this case, length) by itself is the same thing as squaring it. So, you can simplify the equation further by writing:

length² = area

Fill in what you know:

length² = 200ft²

Now, work the problem backwards by taking the square root of 200 to find the length:

√length² = √200ft²

length = 14.142ft

So, each wall is 14.142ft long

You can test this by working the problem in reverse:

14.142ft * 14.142ft ≈ 200ft²

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Find the volume of given solid.plz give explaination.

lara31 [8.8K]

Answer:

480 cm^3

Step-by-step explanation:

Total volume is the sum of the volumes of the 3 cuboids.

Cuboid at the bottom:

V = l×b×h

V = 12 × 5 × 4 = 240

Both on top are identical.

Their height is 10-4= 6 cm

Each has volume = 5×4×6 = 120

Total Volume = 240 + 120 + 120

= 480 cm^3

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3 years ago

For which inequality would x = 8 not be a solution?

Naya [18.7K]

Put the value of x to the inequality:

$4x+3 > 0\\L=4(8)+3=32+3=35;\qquad R=0;\qquad L > R\ CORRECT\\\\9x-5 < 100\\L=5(8)-5=40-5=35;\qquad R=100;\qquad 35 < 100\ CORRECT\\\\x+4\leq10\\L=8+4=12;\qquad R=10;\qquad 12 > 10\ INCORECT (\leq)\\\\72\div x\geq4\\L=72\div 8=9;\qquad R=4;\qquad 9\geq4\ CORRECT$

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3 years ago

Equality of fractions

Svetach [21]

Answer:

Fractions are equal when one fraction can be obtained from the other.

Step-by-step explanation:

equality means a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

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2 years ago

What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part

Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

$1.5\times39.4=59$

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

$\frac{59}{39.4}=1.5$

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

$\frac{186}{1.06}=175$

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

$175\times1.06=186$

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

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Answer:

Step-by-step explanation:

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3 years ago