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Answer: Area of the shaded region is 6.867 square cm
Step-by-step explanation:
The shaded area corresponds to the difference of the area of the rectangle and the area of the semicircle.
Area of the rectangle = 4 times 8 = 32 cm^2
Area of the semicircle = 0.5 * pi * r^2 (where r is the radius, i.e., half of the diameters, i.e., 4 cm). So Area = 0.5*pi*4^2 = 25.133 cm^2
The difference: 32 - 25.133 = 6.867 cm^2 (area of the shaded region)
Answer:
<em>60cm²</em>
Step-by-step explanation:
Length = 6cm
Breadth = 10cm
Area of rectangle = l×b
=( 10 ×6)cm
= <u>60cm²</u>
Hope it helps.
Answer:
z = 110°
Step-by-step explanation:
Angles z and the one marked 70° form an linear pair, hence are supplementary.
z = 180° -70° = 110°
<h3>Angles where chords cross</h3>
The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...
70° = 1/2(60° +x) ⇒ x = 140° -60° = 80°
The arc w completes the circle of 360°, so we have ...
w +x +79° +60° = 360° ⇒ w = 360° -219° = 141°
Finally, z is the average of w and 79°:
z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above
Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than 32 inches of trim she has.
Step-by-step explanation:
The formula for calculate the area of a square is:
Where "s" is the lenght of any side of the square.
The formula for calculate the perimeter of a square is:
Where "s" is the lenght of any side of the square.
We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula and find its value:
Substituting the value of "s" into the formula , we get that the perimeter of the photo is:
Therefore, since Alicia has 32 inches of trim and 
, we can conclude that she will have enough trim for all four sides of the square.
