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Jet001 [13]
3 years ago
10

can the area of a square be expressed as a prime number if its side length is expressed as a natural number?

Mathematics
2 answers:
Lerok [7]3 years ago
7 0

not possible because the area of a square is always a square of it's length and a square cannot be a prime number

Airida [17]3 years ago
7 0

Answer:

No

Step-by-step explanation:

Because the area of a square is always a square of its length and a square can't be prime.

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Need help with this please
aleksandrvk [35]

Answer: 9 cm

Step-by-step explanation:

By multiplying 5 by 3, you get 15. this would also apply to finding the other side of the rectangle, where you multiply 3 by 3 to get 9.

7 0
3 years ago
Given uv = su tu sv prove vt = st
Lady bird [3.3K]

Answer:  see proof below

<u>Step-by-step explanation:</u>

\begin{array}{cl|cl}&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}

5 0
3 years ago
From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.
Olenka [21]

Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is d_1 and it is given by

tan (61^o)= \dfrac{50}{d_1}

d_1=\dfrac{50}{tan (61^o)}

\boxed{d_1= 27.71m}

And the distance to the ship B is d_2 and is given by

tan (28^o)= \dfrac{50}{d_2}

d_2=\dfrac{50}{tan (28^o)}

\boxed{ d_2=94.04m}

Therefore, the distance d between the ships A and B is

d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}

In other words, the ships are 66 meters apart.

8 0
3 years ago
Read 2 more answers
I dont understand how to simplify an expression with exponents
Mashutka [201]

Answer:

3^4

Step-by-step explanation:

Simplifying an expression with expression with exponents:

If they are dividing, we keep the base and subtract the exponents. For example:

\frac{a^x}{a^y}=a^{x-y}

In this question:

\frac{3^2}{3^{-2}}=3^{2-(-2)}=3^{2+2}=3^4

8 0
11 months ago
What is 4 percent of 1425
hammer [34]
4% outta 1425 is 57| The amount is 57.
8 0
3 years ago
Read 2 more answers
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