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diamong [38]
3 years ago
12

A semicircle was cut from a square sheet of blue construction paper . What is the area of the remaining blue construction paper

as seen in the figure? (Do not include units)

Mathematics
1 answer:
Yanka [14]3 years ago
8 0

Answer:

60.73cm

Step-by-step explanation:

10cm=diameter so raduis of circle=5cm

area of full circle=78.5398...

area of semicircle=39.2699...

area of square=100cm

100-39.26990817=60.73 cm

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Solve. (x + 3)^1/2– 1 = x
Natali [406]

Answer:

x=1

Step-by-step explanation:

(x + 3) ^{ \frac{1}{2} }  - 1 = x  \\  \sqrt{x  + 3}   - 1 = x \\  \sqrt{x + 3}  = x + 1 \\ square \: both \: sides \\ x + 3 =  {x}^{2}  + 2x + 1 \\  {x}^{2}  + 2x - x + 1 - 3 = 0  \\  {x}^{2}  + x - 2 = 0  \\ x ^{2}  + 2x - x - 2 = 0  \\ (x^{2}  + 2x) - (x  + 2) = 0 \\ x(x + 2) - 1( x + 2) = 0 \\ (x - 1)(x + 2) = 0 \\ x - 1 = 0 \\ x = 1 \\  \\  \\ x  +  2 = 0 \\ x =  - 2

8 0
3 years ago
A triangle has side lengths 32 cm, 32 cm, and 50 cm.
Bogdan [553]

Answer:

Isosceles

Step-by-step explanation:

An isosceles has 2 equal sides, equilateral triangle has has all equal sides and the scalene has no equal sides

6 0
3 years ago
Read 2 more answers
(50 POINTS)!
Yuliya22 [10]

Answer:

The answer to your question is below

Step-by-step explanation:

When a denominator has a positive exponent we change it into an expression with a negative exponent and vice-versa, when a numerator has a positive exponent, we change it into a denominator with a negative exponent.

a)   \frac{1}{p^{4}} = p⁻⁴

b) \frac{1}{25} = 25⁻¹      

4 0
3 years ago
Sum of 5 times of x and thrice of y is 106​
Lostsunrise [7]

Answer:

<h3>sum of 5 times of x and thrice of y is 106</h3>

\huge \boxed{5x + 3y = 106}

8 0
3 years ago
Read 2 more answers
EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for
inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

(x_1,y_1) = (\frac{1}{2},4)

(x_2,y_2) = (\frac{2}{3},1)

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}

m =-\frac{ 3}{\frac{1}{6}}

m = -3/\frac{1}{6}

m = -3 * 6

m = -18

This is in contrast to m = -\frac{1}{2}, calculated by Cody

Solving further to determine the equation.

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (\frac{1}{2},4)

m = -18

y - 4 = -18(x - \frac{1}{2})

y - 4 = -18x + 9

Collect Like Terms

y + 18x = 9 + 4

y + 18x = 13

6 0
3 years ago
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