Area of square = 24cm²
⇒ Length = √24
Find the diagonal of half the square:
a² + b² = c²
c² = (0.5√24)² + (√24)²
c² = 6 + 24
c² = 30
c = √30
The diagonal of half of the square is the radius of the circle.
⇒ radius = √30
Area of the semicircle = 1/2πr² = 1/2π(√30)² =15π
Answer: 15π²
Answer:
40°
Step-by-step explanation:
Every triangle adds up to 180°
So to get the angle of the triangle we already have two values of:

Then since it's at a 90° angle we can subtract 50 to get:
40° as the other part of the right angle.
And applying the 180 rule again:

The slope would be y = -1/2x + 3
The y intercept is where the line crosses the y axis which is at 3 and the slope is rise over run -2/4 or -1/2
Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
- It was vertically compressed by a factor of 3, due to the multiplication by 3.
- It was shifted up 1 unit, due to the addition of 1.
In the graph at the end of the answer, both functions are shown, with <u>f(x) in red and g(x) in blue</u>.
More can be learned about translation concepts at brainly.com/question/28393734
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Answer:
2 bowls of soup
Step-by-step explanation:
<u>1. Make 1 1/4 an improper fraction</u>
1 1/4 = 5/4
<u>2. Then divide 5/4 by 5/8 (KCF - </u><u>Keep</u><u> the 5/4 - </u><u>Change</u><u> the division sign to multiplication - '</u><u>Flip' </u><u>5/8 to 8/5)</u>
5/4 x 8/5 = 40/20
<u>3. Simplify the fraction (divide the numerator and denominator by 20)</u>
40/20 = 2
<u>4. Final answer:</u>
2 (bowls of soup)