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olasank [31]
3 years ago
11

The total area of Rhode island is about 1.5x10^3

Mathematics
1 answer:
yarga [219]3 years ago
6 0
Total are of Rhode Island = 1500
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Which set of three angles could represent the interior angles of a triangle?
ratelena [41]

The 3 angles need to equal 180 when added together:

A) 49 + 59 +72 = 180

The others do not equal 180

8 0
3 years ago
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Consider the triangle , which statement is true about the length of the sides? Each side has a different length
yulyashka [42]

Answer: The answer for this is "The three sides have the same length."


Because its a equilateral triangle (we know this because all the angles are 60 degrees) all the sides are equal.

3 0
2 years ago
How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
Valentin [98]
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

10 0
2 years ago
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Cos^2x+4cosx+4/cosx+2=2secx+1/secx
Lorico [155]

Answer:

\frac{\cos^2x+4\cos x+4}{\cos x+2}=\frac{2\sec x+1}{\sec x}

Step-by-step explanation:

To prove the given identity, we solve the left hand side and right hand side expressions and show that they are equal.

So we get\frac{2\sec x+1}{\sec x}\\\\=\frac{2\sec x}{\sec x}+\frac{1}{\sec x}\\\\= 2+\cos x\\\\\text{since the left hand side and right hand side expression are same, so}\\\text{it verifies the identity.}

\text{Left hand side}=\frac{\cos^2x+4\cos x+4}{\cos x+2}\\\\\text{Here observe that the numerator is a perfect square using }\\a^2+2ab+b^2=(a+b)^2\\\text{so we get}\\\\=\frac{(\cos x+2)^2}{\cos x+2}\\\\\text{now we can cancel out one factor (cos x+2) from numerator and denominator.}\\\text{so we get}\\\\=\cos x+2\\\\\text{And similarly the right hand side gives}

7 0
2 years ago
-x+4y=4<br>-x+3y=1<br>is (8,3) a solution of the system?​
svetoff [14.1K]

check by plugging into both equations

-8+4(3)=4

-8+12=4

4=4

-8+3(3)=1

-8+9=1

1=1

(8,3) is a solution of the system

7 0
3 years ago
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