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LenKa [72]
3 years ago
7

Write the exact value of the area of a square with a side length of √30 square units? *

Mathematics
1 answer:
liberstina [14]3 years ago
6 0

Answer:

A=30u^2

Step-by-step explanation:

Information that we know about the square:

side length: l=\sqrt{30u^2} which can asol be expressed as: l=\sqrt{30}u

we can use this information to calculate the area by the formula for the area of a square:

A=l^2

we subtitute the side length:

A=(\sqrt{30}u )^2

the square root and the squared exponent cancel each other out (because they are opposite operations) and since this is an area it must have squared units:

A=30u^2

The exact value of the area of the square is 30u^2

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A²b-b²<br> if a = 3 and b = -4
LiRa [457]

The answer is -52

First you must substitute the variables

(3^2)(-4)-(-4^2)

Then you must simplify

-52

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The pool at the apartment building is 30 feet long, 20 feet wide, and 5 feet deep. It has been filled 4 feet deep. How many more
egoroff_w [7]
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3 years ago
Help me solve this please
shutvik [7]

Answer:

D'G' = 52.5 units

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5

D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )

G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )

Calculate D'G' using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)

D'G' = \sqrt{(-28-3.5)^2+(-17.5-24.5)^2}

       = \sqrt{(-31.5)^2+42^2}

       = \sqrt{992.25+1764}

        = \sqrt{2756.25}

         = 52.5 units

7 0
3 years ago
A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
Airida [17]

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90°    Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5).  The smallest of these angles is thus 20°

8 0
3 years ago
Read 2 more answers
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