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lubasha [3.4K]
3 years ago
8

The perimeter of a rectangle is 212. The length is 16 more than 5 times the width. Find the dimensions.

Mathematics
1 answer:
saul85 [17]3 years ago
5 0

Answer:

Dimensions are

Length= 91 units

Width=15 units

Step-by-step explanation:

The formula for perimeter is 2(l+w) where l is length and w is width.

Given perimeter is 212 units

Let the width , w=x units

Length is 16 more 5 times the width= 5x+16 units

So length  will be = 5x+16

and width will be= x

Perimeter = 2(l+w)

212=2( 5x+16+x)

212=10x+32+2x

212=12x+32

212-32=12x

180=12x

180/12=12x/12

15=x----------------------width

For length= 5x+16

l=(5*15) +16

l=75+16=91 units-------------length

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Step-by-step explanation:

Given,

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Length of the Arc (S) = 12cm

In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.

Therefore, S = r*Ф

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2 years ago
Line ET is tangent to circle A and T, and the measure of arc TG is 46 degrees. What is the measure of Angle GET
kogti [31]

Answer:

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Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

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m\angle GET=\frac{1}{2}[arc\ TN-arc\ TG]

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7 0
3 years ago
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There are two values of a for which the equation 5x2+ax+7x+5=0 has only one solution for x. What is the sum of those values of a
JulsSmile [24]

Answer:

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First of all, we know that 5x^2+ ax+7x +5=0 only has one root. That means that b^2 - 4ac=0, and we can use this to find the discriminant, ax + 7x.

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Since this is a square root, a+7 can be both negative or positive.

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