To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.
<em>Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation</em>
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Assume the shape of the black material is a rectangle.
The area will be calculated as:
Take for instance;
The area is:
Assume the shape of the black material is a square.
The area will be calculated as:
Take for instance;
The area is:
Assume the shape of the black material is a triangle
The area will be calculated as:
Take for instance;
The area is:
So, in general.
You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.
Related link:
brainly.com/question/24251781
1 pound of rice costs $3.45
1.2 pounds of rice costs x
Set up the proportion
1 / 1.2 = 3.45 / x Cross Multiply
x = 1.2 * 3.45 Combine
x = $4.14 Answer
To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.
<h3>How to write proportions?</h3>
A proportion is defined as an equality between two ratios.
Consider two ratios a:b and c:d. Then, the proportion we can write,
a: b = c : d
Then, the simplification we have for this proportion is
a/b = c/d or ad = bc
<h3>Calculation:</h3>
It is given that, a certain test is worth 135 points.
One to get 85% on this test, he/she needs to get X number of points.
So, we can write the proportions as
X : 135 = 85 : 100
⇒ X/135 = 85/100
⇒ X = 85/100 × 135
∴ X = 114.75 ≅ 115 points
Learn more about proportions at the following link:
brainly.com/question/140018
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Answer:
Step-by-step explanation:
28. Area of the circle = π
where r is the radius of the circle.
Given diameter = 14m, therefore radius = 
= 7m
Now area of the circle = 49
or = 49 * 3.14 * 3.14 = 483.12
29. Volume of cylinder = πh = π*
* 3 = 6.75π cu. feet or 21.195 cu. feet
30. A ball resembles a sphere. Volume of the sphere = 
Given diameter = 30inches; Therefore, radius = 15 inches
Now, Volume of the ball = 
= 4500π cu. inches or 14310 cu.inches
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is 
= 
= - 2.5
