The total area of the figure is 139.20 square centimeters
Areas
The area of a shape is the amount of space it occupies
<h3>Composite figure</h3>
The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure
The shape has 6 equilateral triangles, each of which has an area of:

Where:
--- the length of each toothpick
The area of the rectangle is then represented as:


So, the total area of the figure is:

This gives

Substitute 6 for s




Hence, the total area of the figure is 139.20 square centimeters
Read more about areas at:
brainly.com/question/21135654
<h3>
Answer: Angle Q = 133 degrees</h3>
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Work Shown:
Recall that for any triangle, the three angles always add to 180
P+Q+R = 180
(x+13) + (10x+13) + (2x-2) = 180
(x+10x+2x) + (13+13-2) = 180
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12
Now that we know x, we can find the angle measures
- angle P = x+13 = 12+13 = 25 degrees
- angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
- angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees
As a way to check if we have the right answer or not, we see that,
P+Q+R = 25+133+22 = 180
So the answer is confirmed.
When the events are independent, the probability of both is the product of the probabilities of the individual events.
P(A∩B) = P(A)×P(B) = 0.7×0.8 =
D. 0.56
Answer:
(a) center: (0, 0); radius: 4
(b) center: (8, -3); radius: 10
(c) center: (-2, -7); radius: 7
(d) center: (6, 0); radius: 1
(e) center: (0, 0); radius: 5
(f) center: (3, 8); radius: 8
Step-by-step explanation:
In the figure attached, the complete question is shown.
Equation of a circle with center (h, k) and radius r:
(x - h)² + (y - k)² = r²
Answer:
After two seconds
h(2) = -16(2^2) + 115(2) + 19
h(2) = -64 + 115(2) +19
h(2) = 185
Let me know if this helps!