Answer:
Step-by-step explanation:
Step 1 - As both triangles have lengths the same size, they both add together to equal a rectangle. Therefore:
4 x 3 = 12
Which is the area of the triangles.
Step 2 - Calculating the area of a circle uses the formula:
Where r is the radius of the circle.
Plug the known variables in:
However, this is the area of a full circle. The figure is only half a circle so we must divide this by two:
28.26 ÷ 2 = 14.13
Now, add the area of the semi-circle to the area of the triangles:
14.13 + 12 = 26.13
Therefore, the area of the figure is .
Hope this helps!
Answer:
234
Step-by-step explanation:
x=4+23
Step-by-step explanation:
First, find the slope between the points.
m = (y₂ − y₁) / (x₂ − x₁)
m = (24 − 17) / (20 − 15)
m = 7/5
Next, write the equation in point-slope form, using either of the points.
y − 17 = 7/5 (x − 15)
If desired, simplify.
y − 17 = 7/5 x − 21
y = 7/5 x − 4
<h3>
Answer: 1/8</h3>
In decimal form, 1/8 = 0.125 which converts to 12.5%
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Work Shown:
The 63 should be 6^3. There are 6 choices per slot, and 3 slots, so 6^3 = 216 different outcomes.
Here are all of the ways to add to 11 if we had 3 dice
- sum = 1+4+6 = 11
- sum = 1+5+5 = 11
- sum = 1+6+4 = 11
- sum = 2+3+6 = 11
- sum = 2+4+5 = 11
- sum = 2+5+4 = 11
- sum = 2+6+3 = 11
- sum = 3+2+6 = 11
- sum = 3+3+5 = 11
- sum = 3+4+4 = 11
- sum = 3+5+3 = 11
- sum = 3+6+2 = 11
- sum = 4+1+6 = 11
- sum = 4+2+5 = 11
- sum = 4+3+4 = 11
- sum = 4+4+3 = 11
- sum = 4+5+2 = 11
- sum = 4+6+1 = 11
- sum = 5+1+5 = 11
- sum = 5+2+4 = 11
- sum = 5+3+3 = 11
- sum = 5+4+2 = 11
- sum = 5+5+1 = 11
- sum = 6+1+4 = 11
- sum = 6+2+3 = 11
- sum = 6+3+2 = 11
- sum = 6+4+1 = 11
There are 27 ways to add to 11 using 3 dice. This is out of 216 total outcomes of 3 dice being rolled.
So, 27/216 = (1*27)/(8*27) = 1/8 is the probability of getting 3 dice to add to 11.
