Answer:
21.5 mm^2
Step-by-step explanation:
First find the area of the square
A = s^2 = 10^2 =100
Then find the area of the circle
d = 10 so r = d/2 = 10/2 =5
A = pi r^2
A = 3.14 (5)^2 =78.5
The difference is the shaded region
100-78.5 =21.5
9514 1404 393
Answer:
(i) x° = 70°, y° = 20°
(ii) ∠BAC ≈ 50.2°
(iii) 120
(iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
x = 70
The angle marked y° is the supplement to the one marked 160°.
y = 20
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(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
tan(∠BAC) = BC/BA = 120/100 = 1.2
∠BAC = arctan(1.2) ≈ 50.2°
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(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
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(iv) The bearing of A from C is 180 added to the bearing of C from A:
120 +180 = 300
The three-digit bearing of A from C is 300.
Answer:
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%
Explanation:
Let number of students be 100.
At Taylor Street School, 40% of the students bought lunch in the cafeteria today
Number of students bought lunch = 100 x 40/100 = 40
Of the students who bought lunch in the cafeteria today, 30% chose pizza as their entree
Number of students bought pizza = 40 x 30/100 = 12.
Probability of an outcome = Number of favorable outcome/ Total number of outcome
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = Number of students bought pizza/Total number of students
= 12/100 =0.12 = 12%
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%
The "e" just lets you know that it's scientific notation.
The percentage of the area inside the square that is shaded is 55%.
<h3>What is the perimeter of the square?</h3>
Given:
The perimeter of the square is 20Cm
Each side of the square is = 5Cm
Area = ( Length x Width )
(5 x 5) = 25 =Area
Area = 25
Area of triangle 1 = (1/2) x 5 x (5 - 3) = 5 cm²
Area of triangle 2 = (1/2) x 5 x (5 - 3.5) = 6.25 cm²
Area of shaded portion = 25 - (5 + 6.25) = 13.75 cm²
Percentage of shade portion
= (13.75 cm² / 25 cm²) x 100%
= 55%
The percentage of the area inside the square that is shaded is 55%.
Learn more about area;
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