All categories

2 years ago

Find the area of the shape below giving your answer to 1 decimal place 10 cm 22 cm

Mathematics

1 answer:

olga55 [171]2 years ago

6 0

Answer:

Total area is 198.6cm²

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes.

Step one

From the given figure the two semi circles left and right can be resolved as a whole (a complete circle) with diameter d 10cm

Radius r = 10/2= 5cm

Area of circle A= πr²

A= 3.142*5²

A= 3.142*25

A= 78.55

A= 78.6cm²

Step two

The remaining part of the shape is a rectangle with length (22-10)= 12cm

I.e the 10 is as a result of the radius of the two semi circles = r+r= 5+5=10

The rectangle has a width of 10cm

Area of rectangle A=12*10= 120cm²

Hence the total surface area of the shape

Total area = 120+78.6

Total area = 198.6cm²

You might be interested in

Y = XVW<br> X =<br> what is x?

mixas84 [53]

Answer:

x=75

Step-by-step explanation:

4 0

3 years ago

Calculate the expected value E(X) of the given random variable X. X is the higher number when two dice are rolled, or the common

Sati [7]

Answer:

4.4722

Step-by-step explanation:

The following table shows the 36 elements of the sample space of the experiment

$\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]$

From this table we can compute the probabilities :

P(X = 1) = 1/36

P(X = 2) = 3/36

P(X = 3) = 5/36

P(X = 4) = 7/36

P(X = 5) = 9/36

P(X = 6) = 11/36

So the expected value equals

1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =

= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =

4.4722

7 0

2 years ago

Please answer this question. FOLLOW ALL OF THE INSTRUCTIONS to get the right anser please. THANK YOU!

Alexus [3.1K]

A) It says in fraction form. y=5/4x +15
b) it says it should be a decimal. If you extend the line, it will reach 15.5 hours.
c) I think your answer was correct

7 0

3 years ago

WILL GIVE BRAINLIEST& 15 PTS.

kicyunya [14]

Answer:

The given fraction $\frac{x^3-x^2}{x^3}$ reduces to $\frac{x-1}{x}$

Step-by-step explanation:

Consider the given fraction $\frac{x^3-x^2}{x^3}$

We have to reduce the fraction to the lowest terms.

Consider numerator $x^3-x^2$

We can take x² common from both the term,

Thus, numerator can be written as $x^2(x-1)$

Given expression can be rewritten as ,

$\frac{x^3-x^2}{x^3}=\frac{x^2(x-1)}{x^3}$

We can now cancel $x^2$ from both numerator and denominator,

$\Rightarrow \frac{x^2(x-1)}{x^3}=\frac{x^2(x-1)}{x^2 \cdot x}$

$\Rightarrow \frac{(x-1)}{x^2 \cdot x}=\frac{x-1}{x}$

Thus, the given fraction $\frac{x^3-x^2}{x^3}$ reduces to $\frac{x-1}{x}$

6 0

2 years ago

Read 2 more answers

Why is 186,426 divisible by 3 and 9

Zepler [3.9K]

The divisibility rule
For example
The divisibility rule for three is adding the number together
1+8+6+4+2+6= 27
And 3 is divisible by 27
And for nine
It’s similar to three

7 0

2 years ago

Find the area of the shape below giving your answer to 1 decimal place 10 cm 22 cm​

Find the area of the shape below giving your answer to 1 decimal place 10 cm 22 cm