All categories

3 years ago

Work out the area of this semi circle

Mathematics

1 answer:

kirill [66]3 years ago

5 0

Answer:

39.27

Step-by-step explanation:

The area of a semi-circle is pi times the radius squared divided by 2. So basically standard area of a circle formula (pi times the radius squared) but then you add in the extra step of dividing it by 2.

The formula looks like this:

π × r² ÷ 2

The radius is half the diameter of the circle. So basically think of it as a line to the middle of the circle. Our diameter is 10, (the diameter is the entire length of the circle. It gives us this already. If you need diameter and only have the radius add the radius together twice or multiply it by 2 to get the diameter. Fun fact..?)

and it tells us to substitute pi for 3.142.

So, plugging our numbers in we get:

3.142 x 5^2 ÷ 2 = 39.275.

Cut out the 3rd decimal place (5) as it tells us to only include the first 2 decimal places, and we finally end up with 39.27.

Hope this helps and have a nice day!

You might be interested in

If 5x=y+75x=y+7, is (x−y)>0(x−y)>0? (1) xy=6xy=6 (2) xx and yy are consecutive integers with the same sign

crimeas [40]

Answer:

No. If 5x=y+7 then xy=6 and (2) x and y are consecutive integers with the same sign. for xy=6

Step-by-step explanation:

For the sake of clarity:

If 5x=y+7 then (x – y) > 0?

Alternatives:

(1) xy = 6

(2) x and y are consecutive integers with the same sign

1) Consider (x-y)>0 as true:

$xy=6$ Numbers like, 3*2, 6*1, etc..

$5x=y+7\Rightarrow \frac{5x}{5}=\frac{y+7}{5}\Rightarrow x=\frac{y+7}{5}\\Plugging\: in:\:\\\frac{y+7}{5}-y>0\Rightarrow \frac{y+7-5y}{5}>0\Rightarrow \frac{-4y+7}{5}>0\Rightarrow \frac{-4y+7}{5}*5>0*5\\-4y+7>0 *(-1)\Rightarrow 4y-7\frac{7}{4}\therefore y$

Since y in this hypothetical case is lesser then let's find x, let's plug in y 1 for a value lesser than 1.75:

Then xy≠6 and no and 8/5 (1.75) is a rational number. What makes false the second statement about consecutive integers.

So this is a Contradiction. (x-y) >0 is not true for 5x=x+7.

2) Consider:

x and y are consecutive integers with the same sign is true.

Algebraically speaking, two consecutive integers with the same sign can be written as:

$y=x+1$

Plugging in the first equation (5x=y+7):

5x=x+1+7⇒4x=8 ⇒x =2

Since y=3 then x=2 because:

$3=x+1\\3-1=x+1-1\\2=x \Rightarrow x=2$

3) Testing it

$5x=y+7\\\\5(2)=(3)+7\\\\10=10\:True$

$xy=6\\2*3=6\\6=6$

5 0

3 years ago

A politician has $4,200 to buy TV advertisements. If each advertisement costs $700, how many advertisements can the politician b

aksik [14]

Answer:

He can but 6 ads

Step-by-step explanation:

how i thought of it was what times 700 hundred gives me 4,200 and i used the math that i have been taught and put together 6

8 0

3 years ago

Read 2 more answers

CAN SOMEONE FIND THE VOLUME??

Nana76 [90]

Answer:

formula for volume is length × width × height.

7 0

3 years ago

The constraints of a problem are listed below. What are the vertices of the feasible region?

Mamont248 [21]

Answer:

Option 4 : $(0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)$

Step-by-step explanation:

See the attached figure:

To find the vertices of the feasible region, we need to graph the constraints, then find the area included by them, then calculate the vertices which is the intersection between each two of them.

As shown, the shaded area represents the solution of the constraints

So, the vertices of the feasible region are:

$(0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)$

8 0

3 years ago

Read 2 more answers

What is the ratio for Cos B?

RUDIKE [14]

Answer:

3/5

Step-by-step explanation:

The cosine ratio is ...

Cos = Adjacent/Hypotenuse

cos(B) = BA/BC = 48/80

cos(B) = 3/5

8 0

3 years ago