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Ierofanga [76]
3 years ago
6

The formula for finding the area of a square that has a side length, s, is A = s2. If a square has an area of 40 square units, w

hat is the length of a side?
Mathematics
2 answers:
REY [17]3 years ago
7 0

Answer:

The side length of square is 2\sqrt{10} units.

Step-by-step explanation:

Given : The formula for finding the area of a square that has side length s is given as A=s^2

Also, given the area of a square is 40 square units.

We have to find the length of the side of square.

Consider the given formula,

A=s^2

We are given area s 40 square units

So, 40=s^2

Taking square root both sides, we have,

\sqrt{40}=s  

Simplify, we have,

s=2\sqrt{10} units.

Thus, The side length of square is 2\sqrt{10} units.

lesya [120]3 years ago
5 0
The length of side can be calculated as 
<span>s = √40
   = √4x10
   = 2√10</span>
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Sofia went on a road trip to visit her family. She first traveled from West Palm Beach to Fort Myers which is 108 miles away. The next day, she drove to Miami for a distance of 135 miles. Finally, driving back home for 81 miles. Determine if the three towns on Sofia’s road trip form a right triangle. Which statement is correct?"

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Step-by-step explanation:

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3 years ago
A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With
12345 [234]

Answer:

Distance of foot of ladder from building: <em>37.2 inches </em>

Distance of top of ladder from building's base: <em>114 inches </em>

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle \triangle ABC is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, <em>AC </em>= <em>10 foot </em>

Also, we are given that angle made by the base of ladder with the ground is 72^\circ.

We have to find <em>AB</em> and <em>BC</em>.

\angle BAC = 72^\circ

Using trigonometric functions:

cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches

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Distance of top of ladder from building's base: <em>114 inches </em>

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Answer:

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Step-by-step explanation:

250÷350=0.6 which is equal to 60%

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3 years ago
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