A circle is a curve sketched out by a point moving in a plane. The area of the sector PQR is 41.346 units².
<h3>What is a circle?</h3>
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given the radius of the circle is 8 units, while the angle of the sector is 74°. Therefore, the area of the sector is,
Area of the sector = π×R²×(74/360)
= π × 8² × 0.20556
= 41.346 units²
Hence, the area of the sector PQR is 41.346 units².
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Answer:
Step-by-step explanation:
Purchase price (A) : $12,500
Down Payment (B): $3,000
Loan Taken (C = A - B): $9500
D : Interest calculation for $9,500 for 3 years P(1 + rt)
= 9500(1 + (14.5/100) * 3)
= 9500(1 + 0.145 * 3)
= 9500 * 1.435
= $13632.5
E : Interest calculation for $9,500 for 2 years P(1 + rt)
= 9500(1 + (14.5/100) * 2)
= 9500(1 + 0.145 * 2)
= 9500 * 1.29
= $12,255
Difference between D - E
= $13632.5 - $12,255
= $1377.5
Hence the answer is B i.e. $1377.5 less interest for same amount of load for 2 years vs 3 years
Answer:
-9
Step-by-step explanation:
use an equation to solve this
consecutive means in succession, one after the other
since they're odd, both numbers have to be odd
let x be the first number
x+x+2=-20
+2 because if you only +1, one of the numbers would be even
2x+2=-20
-2. -2
2x=-22
x=-11
the smaller would be -9 since we are adding x and x+2 together
Answer:
(a) Shown below.
(b) Shown below.
(c) The probability that a person does not learn Spanish is 0.18.
(d) The probability that method B was used given that a student learned the Spanish successfully is 0.83.
Step-by-step explanation:
(a)
Consider the provided data.
Then the probability of not learning Spanish using the respective methods are:
(b)
The Probability Tree representing each of the probabilities mentioned above is attached below.
(c)
Compute the probability that a person does not learn Spanish as follows:
Thus, the probability that a person does not learn Spanish is 0.18.
(d)
Compute the probability that method B was used given that a student learned the Spanish successfully as follows:
Thus, the probability that method B was used given that a student learned the Spanish successfully is 0.83.
Answer:
-14x^4+4x^3-6xy^3
Step-by-step explanation:
