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Lelu [443]
3 years ago
14

Work out the shaded area​

Mathematics
2 answers:
Alexeev081 [22]3 years ago
7 0

Answer:

  • 366 cm²

Step-by-step explanation:

<em>Refer to attached</em>

The ares consists of half-circle and a triangle

<u>Radius of circle:</u>

  • 22 cm/2 = 11 cm
  • Area = 1/2*3.14*11² ≈ 190 cm²

<u>Sided of the triangle:</u>

  • Base = 22 cm, height = 16 cm
  • Area = 1/2*22*16 = 176 cm²

<u>Total area:</u>

  • 190 + 176 = 366 cm²

yarga [219]3 years ago
4 0

Answer:

193.28 cm^2

Step-by-step explanation:

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Find the value of x
Paladinen [302]

\qquad \qquad  \bf \huge\star \:  \:  \large{  \underline{Answer} }  \huge \:  \: \star

  • x = 12°

\textsf{  \underline{\underline{Steps to solve the problem} }:}

\qquad❖ \:  \sf \:2x + 6 + 5x + 90 = 180

[ by linear pair ]

\qquad❖ \:  \sf \:7x + 6 = 180 - 90

\qquad❖ \:  \sf \:7x + 6 = 90

\qquad❖ \:  \sf \:7x = 90 - 6

\qquad❖ \:  \sf \:7x = 84

\qquad❖ \:  \sf \:x = 84 \div 7

\qquad❖ \:  \sf \:x = 12

\qquad \large \sf {Conclusion}  :

\qquad❖ \:  \sf \:x = 12 \degree

7 0
2 years ago
(9, 8) is the midpoint of mc136-1.jpg. The coordinates of S are (10, 10). What are the coordinates of R?
kolbaska11 [484]
I cant see the image...but I take it that the midpoint is (9,8) and the endpoint S is (10,10) and ur looking for the other endpoint R.

midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(10,10)....x1 = 10 and y1 = 10
(x,y)....x2 = x and y2 = y
so we sub
(10 + x) / 2, (10 + y) / 2 = 9/8

(10 + x) / 2 = 9
10 + x = 9 * 2
10 + x = 18
x = 18 - 10
x = 8

(10 + y) / 2 = 8
10 + y = 8 * 2
10 + y = 16
y = 16 - 10
y = 6

so endpoint R has coordinates of (8,6) <===
7 0
3 years ago
Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria
TiliK225 [7]

GIVEN

The following values are given:

\begin{gathered} \mu=10.3 \\ \sigma=3.8 \end{gathered}

SOLUTION

The z-score for the x values 9 and 14 can be calculated using the formula:

z=\frac{x-\mu}{\sigma}

For x = 9:

\begin{gathered} z=\frac{9-10.3}{3.8} \\ z=-0.34 \end{gathered}

For x = 14:

\begin{gathered} z=\frac{14-10.3}{3.8} \\ z=0.97 \end{gathered}

The probability can be calculated as follows:

P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671

The probability is 0.4671.

8 0
1 year ago
Leah invested $950 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals ar
Contact [7]

\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$950\\ r=rate\to 1.5\%\to \frac{1.5}{100}\dotfill &0.015\\ t=years\dotfill &6 \end{cases} \\\\\\ A=950e^{0.015\cdot 6}\implies A=950e^{0.09}\implies A\approx 1039.5\implies \stackrel{\textit{rounded up}}{A=1040}

6 0
3 years ago
Greatest common factor <br>3a^3+9a^2​
BaLLatris [955]

Answer:

27A+81A =108

Step-by-step explanation:

7 0
2 years ago
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