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wolverine [178]
3 years ago
6

The dimensions of a 7 -cm by 2 -cm rectangle are multiplied by 3 . how is the area affected ?

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0
Let's figure this out by first finding the dimensions of the original rectangle, and then finding the dimensions of the new rectangle.

Original rectangle:  Since the area of a rectangle is the length * width, the area of this rectangle is 7 * 2 = 14 square cm.

New rectangle: The new dimensions of this are 7*3 = 21 cm by 2*3 = 6 cm.  To find the area, we multiply these two together.  21*6 = 126 square cm.

126 is 9 times greater than 14, so the area will be multiplied by 9.
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Answer:

Width = 54.3 inches

Step-by-step explanation:

We solve this question using the Pythagoras Theorem

Width² + Height² = Diagonal²

From the above question

Width= ??

Height = 30 inches

Diagonal = 62 inches

Width² + 30² = 62²

Width² = 62² - 30²

Width = √62² - 30²

Width =✓2944

Width = 54.258639865 inches

Approximately

Width = 54.3 inches

Hence, the new television was 54.3 inches wide.

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3 years ago
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3 years ago
Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia
omeli [17]
a_n=48+3(2n-1)

The formula of the sum of the arithmetic sequence:
S_n=\dfrac{a_1+a__n}{2}\cdot n
calculate:
a_1=48+3(2\cdot1-1)=48+3=51
substitute
S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n
Your answer is:
\boxed{f(x)=3x^2+48x}

5 0
3 years ago
Read 2 more answers
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6 0
3 years ago
Angle 1 measure 75 degree what is its complement
dalvyx [7]
I think it’s 76 because I added it that’s a way i solved it but you can also multiple it by 1 and it will give the the same answer
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