Answer:
the answer is 10,000
Step-by-step explanation:
thats what i put on the test and got it right
Answer:
No
Step-by-step explanation:
d = (x_2 - x_1)^2 + (y_2-y_1)^2
If any two points on both triangles have the same measure then they are congruent.
41
52
The sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
<h3>Area of a sector</h3>
The coloured portion of the circle is known as a sector. The formula for calculating the area of a sector is given as:
Area of a sector = θ/360 * πr²
where
θ is the central angle
πr² represents the area of a circle.
Therefore the best statement that explains the formula is expressed as the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Learn more on area of sector here: brainly.com/question/22972014
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Let T = number of tickets and P = number of popcorn containers. Then
The formula for a rectangle's perimeter is
P = 2l + 2w
We know the length is 2 ft greater than thrice the width, so 2l becomes:
3w + 2ft + 3w + 2ft
Substitute.
P = 3w + 2ft + 3w + 2ft + 2w
Add like terms.
P = 8w + 4ft
Substitute P.
84 ft = 8w + 4ft
Subtract 4 ft from both sides to eliminate. (Property of equality)
84 ft - 4ft = 8w + 4ft - 4ft
80 ft = 8w
Divide 8 on both sides to isolate w.
80 ft / 8 = 8w / 8
10 ft = w
We have the value of w, now look for the l which we know is 2 feet more than thrice the value of w.
l = 10 ft × 3 + 2 ft
l = 30 ft + 2 ft
l = 32 ft
Therefore, the length and the width of the rectangle is 10 ft (w) and 32 ft (l).
Check:
84 ft = (2) (10 ft) + (2) (32 ft)
84 ft = 20 ft + 64 ft
84 ft = 84 ft ✔
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