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yulyashka [42]
3 years ago
11

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per

imeter of the rectangle is 2(5x – 2) + 2(3x + 1). If x = 4 centimeters, what is the total distance Zohar needs to cut with the scissors?
Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

62 cm

Step-by-step explanation:

Given the expressions for width (3x + 1) and length (5x - 2) as well as the formula for the perimeter of a rectangle: 2(5x - 2) + 2(3x +10), we can first solve for the simplified expression of 'x' and then substitute the given value of x = 4cm to find the total distance:

Distribute: 2(5x - 2) + 2(3x +1) = 10x - 4 + 6x + 2

Combine like terms:  16x - 2

Plug in '4' for 'x':  16(4) - 2 = 64 -2  = 62 cm

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4 0
3 years ago
Read 2 more answers
What is the angle of BTC, Angle TBC,Angle TCB
Goryan [66]

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

<h3>How to determine the angles of a triangle inscribed in a circle</h3>

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823

8 0
2 years ago
there are 2000 sheets of paper in 4 reams of paper.which of the following expresses the ratio of reams to paper?
antoniya [11.8K]
 -4:2000

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4 0
3 years ago
The charge for I’ve skating is $3 for the skate rental and $2 per hour to skate. How much will you pay if you skate for 3 1/2 ho
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Answer:

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There are several different equations that can be used to find missing sides, these can be trigonometric functions or the distance formula. The trigonometric functions consist of sine (opposite/hypotenuse), cosine (adjacent/hypotenuse), and tangent (opposite/adjacent. The adjacent side is represented by the side next to the given angle measure, the opposite is the side that is connected to adjacent side and across from the given angle, and the hypotenuse is the diagonal that connects the opposite side to the given angle- most notable because its line isn't straight like the other sides.
 The distance formula is used to find the measurement of missing side lengths in all quadrilaterals, and it's: D = sqrt(x2 - x1)^2 + (y2 - y1)^2 where x are the x-coordinates of two given points and y are the y-coordinates of the same two given points. 
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3 years ago
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