Answer:
113.04 units^2
Step-by-step explanation:
The area of a circle can be found using:

First, we need to find the radius, since we have the diameter.
<u />
<u><em>Radius</em></u>
The radius is half the diameter, or
r=d/2
We know the diameter is 12, so we can substitute that in
r=12/2 <em>Divide </em>
r=6
<u><em>Area </em></u>
Now we know the radius and can substitute it into the area formula

<em>Solve the exponent </em>

Substitute 3.14 in for pi
a=3.14*36 <em>Multiply </em>
a=113.04
We aren't given a specific unit, so we can say the area is
113.04 units^2
Answer:Number of Spearmint gum = 27 pieces
Step-by-step explanation:
step 1
Let the total number of peppermint gum and spearmint gum in the container = X
Ratio of peppermint gum to spearmint gum= 2 : 3.
Total ratio = 2+ 3=5
Step 2
we were given that peppermint gum= 18 pieces , so total number of gums will be calculated as
Ratio of peppermint/ Total ratio x Total number of gums = Number of peppermint
2/5 x X= 18
X=(18X 5) / 2 = 45
X= Total number of gums = 45
Number of spearmint gum will now be
Ratio of spearmint/ Total ratio x Total number of gums = Number of spearmint
3/5 x 45= 27
Therefore Number of Spearmint gum = 27 pieces
Answer:
650 milliliters.
Step-by-step explanation:
Amount in the Jug = 1.5 * 1000 = 1,500 mls.
She pours out 250 mls and 0.6 * 1000 = 600 mls
The amount left = 1500 - 250 - 600
= 650 milliliters.
Answer:
3, 6 and 8
Step-by-step explanation:
In order to solve the problem, we call:
= length of the 1st side of the triangle
= length of the 2nd side of the triangle
= length of the 3rd side of the triangle
From the text of the question, we know that:
- One side of a triangle is twice the shortest side --> we can write this as
(1) (assuming "a" is the shortest side)
- The third side is five feet more than the shortest side. -->
(2)
- The perimeter is 17 feet -->
(3)
So now we have 3 equations with 3 unknown variables. Substituting (1) and (2) into (3) we can find the value of "a", the shortest side:

And so

So the lengths of the 3 sides are 3, 6 and 8.
Answer:
I think the way they are telling is that the triangle will move to the third quadrant,
If so, then the coordinates of P'Q'R' will just be the negative of PQR.