The shape in the figure has 6 sides
The choice that describes the group the shape belongs to is (a) parallel sides, acute angles
<h3>How to determine the group of the shape?</h3>
From the figure, we have the following highlights
- The shape has 6 sides
- The direct opposite sides are equal
- The direct opposite sides are parallel
- The measure of angles between adjacent sides are less than 90 degrees i.e. acute angles
The above highlight mean that:
The shape belongs to parallel sides, acute angles group of shapes
Hence, Angela's conclusion is correct
Read more about polygons at:
brainly.com/question/1592456
Answer:
A)
58/3 = 19.33 hours
B)
84.00 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through 360 degrees or 2π radians.
A)
In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;
(24/360) = (x/290)
solving for x;
x = (24/360) * 290 = 58/3 = 19.33 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;
(24/2π radians) = (x/7π radians)
Solving for x;
x = (24/2π radians)*7π radians = 84 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
The volume of the box is 100 cubic meter.
Step-by step explanation:
Given data:
Length of the box = 10 m
Width of the box = 5 m
Height of the box = 2 m
<u>To find the volume of the box:</u>
Volume of the box = length × width × height
= 10 m × 5 m × 2 m
= 100 cubic meter
Hence the volume of the box is 100 cubic meter.
Answer: $9.86
Step-by-step explanation:
$11.60 ⋅ 8.5 = $98.60
$98.60 / 10 = $9.86
Answer: Choice D. P = i/rt
This is the same as saying P = i/(rt). The parenthesis are preferred in my opinion to indicate we have rt in the denominator and not just r.
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Explanation:
In the original equation, prt is the same as p*r*t. So we multiply p, r and t to get prt.
This can be thought of as p*(rt). To isolate p, we undo the multiplication done to the variable p. We will divide both sides by rt to get
i = prt
i = p*(rt)
i/(rt) = p*(rt)/(rt) ... dividing both sides by rt
i/(rt) = p
p = i/(rt)
