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AleksAgata [21]
2 years ago
10

*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*

Mathematics
1 answer:
Artyom0805 [142]2 years ago
8 0

Answer: 1️⃣ 40

Step-by-step explanation:

<em>x - is the side of the square</em>

<em />x^{2} +x^{2}   =(10\sqrt{2})^{2}  \\2x^{2}}  =200\\2x^{2} \div  2=200 \div  2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \:  [cm] - side \: of  \: a \: square<em />

<em>Find the perimeter of the square.</em>

<em>Perimeter of the square = 4 × 10 cm = 40 cm</em>

<em />

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Which statements are true regarding the area of circles and sectors? Check all that apply.
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Answer:

The correct options are a,b.

Step-by-step explanation:

The area of sector of a circle equals

Area of a sector = \theta r^{2}

where

\theta is the angle subtended at the center by the sector

r is the radius of circle

This indicates that area of the sector depends on:

1) Radius of circle

2) Angle  subtended at the center by the sector

3) Area of sector does not depend on pi.

Also if we know the area of the sector only  we cannot calculate area of area of whole triangle as we need one more information either angle of the sector and vice versa.

3 0
3 years ago
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Rex paid $250 in taxes to the school district that he lives in this year. This year's taxes were a 12% increase from last year.
Verizon [17]

Answer:

$223.21

Step-by-step explanation:

Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.

This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.

112% of x = 250

1.12x = 250

x = 250/1.12

x = 223.21

Answer: $223.21

8 0
2 years ago
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5
Ulleksa [173]

Answer:

The equation of line is 5(y-4) = 2( x+2)

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Step-by-step explanation:

<u>Step 1:-</u>

Given slope is m = \frac{2}{5} and passes through (-2,4)

y-y_{1}= m(x-x_{1} )

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8 0
3 years ago
Write an expression in simplest form that represents the perimeter of the polygon ​
scoundrel [369]

Answer:

Perimeter = (11x + 12)

Step-by-step explanation:

Since, perimeter of a polygon is represented by the sum of measures of all sides,

Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)

By adding like terms of the expression,

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Therefore, expression for the perimeter is (11x + 12).

6 0
3 years ago
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Ratling [72]

Answer:

x = \frac{3}{4}

Step-by-step explanation:

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Now, you have 8x - 1 + 3 = 7

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Now simplify

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Hence,

x =  \frac{3}{4}

4 0
2 years ago
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