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Evgen [1.6K]
1 year ago
5

I got the answer it is A I just need you to check it pls thank you

Mathematics
1 answer:
andrey2020 [161]1 year ago
3 0

We have a circle of radius 5 m inside a square of side 10 m. The shaded area is:

A_{\text{Shaded}}=A_{\text{Square}}-A_{\text{Circle}}

Now, we calculate the area of the square and the circle:

\begin{gathered} A_{\text{Square}}=10^2=100m^2 \\ A_{\text{Circle}}=\pi\cdot5^2=25\pi m^2 \end{gathered}

Finally, the shaded area is:

A_{\text{Shaded}}=100-25\pi\approx21.5m^2

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Help me solve this please
shutvik [7]

Answer:

D'G' = 52.5 units

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5

D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )

G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )

Calculate D'G' using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)

D'G' = \sqrt{(-28-3.5)^2+(-17.5-24.5)^2}

       = \sqrt{(-31.5)^2+42^2}

       = \sqrt{992.25+1764}

        = \sqrt{2756.25}

         = 52.5 units

7 0
3 years ago
Which of the following is either a median or an altitude?
Blizzard [7]

Answer:

PR is an altitude

QT is a median.

Step-by-step explanation:

The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.

5 0
3 years ago
What THREE integers have a sum of 300?
quester [9]

Answer:

Here we will use algebra to find three consecutive integers whose sum is 300. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 300. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 300

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 300

3X + 3 = 300

3X + 3 - 3 = 300 - 3

3X = 297

3X/3 = 297/3

X = 99

Which means that the first number is 99, the second number is 99 + 1 and the third number is 99 + 2. Therefore, three consecutive integers that add up to 300 are 99, 100, and 101.

99 + 100 + 101 = 300

We know our answer is correct because 99 + 100 + 101 equals 300 as displayed above.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need the smaller and larger angle
SSSSS [86.1K]

Answer:

x=11

Step-by-step explanation:

(4x)+(3x+13)=90                

if you look at the beam, it includes a 90 degree angle.

7x+13=90

distributive property

7x=77

subtracted both sides by 13

x=11

divided both sides by 7 to isolate x

4(11)         3(11)+13

44             33+13

                36

4(x) is the larger angle

6 0
3 years ago
Ations with the Distributive Property<br> Solve the equation.<br> -3(y + 5)= 15
AlekseyPX
Y=-3 it is the answer.
6 0
3 years ago
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