Answer: C . 147π / 4 mi²
Concept:
The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.
A = (θ / 360) πr²
θ = angle of the sector
π = constant
r = radius
Solve:
<u>Given variable</u>
θ = 270°
r = 7 mi
<u>Given formula</u>
A = (θ / 360) πr²
<u>Substitute values into the formula</u>
A = (270 / 360) π (7)²
<u>Simplify exponents</u>
A = (270 / 360) π 49
<u>Simplify by multiplication</u>
A = (147 / 4) π
A = 147π / 4
Hope this helps!! :)
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Suppose you have a Kohls coupon of $49000 and you want to know how much you will save for an item if the discount is 60 percent.
Solution:
Replacing the given values in formula (a) we have:
Amount Saved = Original Price x Discount in Percent / 100. So,
Amount Saved = 49000 x 60 / 100
Amount Saved = 2940000 / 100
Amount Saved = $29400 (answer).
In other words, a 60% discount for a item with original price of $49000 is equal to $29400 (Amount Saved).
Note that to find the amount saved, just multiply it by the percentage and divide by 100.
The statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
<h3>How to find the statement that is true about the functions a(x) = b(x) at x = 2?</h3>
If we have two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = a, this implies that the values of the functions a(x) and b(x) are equal at x = a.
- Given that the two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = 2.
Then the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
So, the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
Learn more about functions here:
brainly.com/question/10439235
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Answer:
78 pounds
Step-by-step explanation:
Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:
a + b = 130
We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:
5.20a + 4.05b = 586.30
We can now solve the system of equations:
a + b = 130
5.20a + 4.05b = 586.30
Manipulate the first equation by subtracting b from both sides:
a + b = 130
a = 130 - b
Substitute 130 - b for a in the second equation:
5.20a + 4.05b = 586.30
5.20 * (130 - b) + 4.05b = 586.30
676 - 5.20b + 4.05b = 586.30
Move the terms with b to one side:
1.15b = 89.70
b = 78
Thus, Yolanda used 78 pounds of Type B coffee.
<em>~ an aesthetics lover</em>
