Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Diameter of a model of earth (D) = 25.6 cm
Radius of a model of earth (r) =
Earth has the shape of a sphere.
Total surface area of a sphere =
Put
So,
Total surface area of the model
b. f(x) = (x – 7) (x – i) (x – 5) (x + i)
c. f(x) = (x – (7 – i)) (x – (5 + i)) (x – (7 + i)) (x – (5 – i))
d. f(x) = (x + (7 – i)) (x + (5 + i)) (x + (7 + i)) (x + (5 – i))
The polynomial function with a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1 is f(x) = (x + 7) (x – i) (x + 5) (x + i).
The polynomial function with a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1 is option a. f(x) = (x + 7) (x – i) (x + 5) (x + i). To understand why this is the correct answer, we first need to know that complex roots always appear in conjugate pairs, which means that if a + bi is a root, then a - bi is also a root. The given roots are (7 + i) and (5 – i), so the conjugate pairs are (7 – i) and (5 + i).
Therefore, the correct polynomial is obtained by multiplying the factors (x – (7 + i)), (x – (7 – i)), (x – (5 + i)), and (x – (5 – i)). This gives us f(x) = (x + 7) (x – i) (x + 5) (x + i), which is option a.
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Perimeter of the figure PQR is 91.42 cm.
Perimeter of a straight sided figures or objects is the total length of it's boundary
Given figure PQR consists of an equilateral triangle and a semicircle.
Length of side of an equilateral triangle = 20 cm
Perimeter of equilateral triangle = sum of the length of three sides
Perimeter = 3 × 20 = 60 cm
Now circumference of a circle = 2πr, where r is the radius.
Here there is a semicircle, which is the half of the circle.
Circumference of semicircle = 2πr / 2 = πr
Here Diameter = 20 cm
Radius = 20 / 2 = 10 cm
Perimeter of semicircle = 10π = 31.42 cm
Total perimeter = 60 cm + 31.42 cm = 91.42 cm
Hence the total perimeter is 91.42 cm.
Learn more about Perimeter here :
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Answer:
x = -2 and 3/4
Step-by-step explanation:
3x - 4 = 0
3x = 4
x = 3/4
x + 2 = 0
x = -2
Hopefully this helps!
Brainliest please?
Answer:
x = 3.69 (3 significant figures)
Step-by-step explanation:
5(x - 6) + 3x = 3/4(2x - 8)
5x - 30 + 3x = 1.5x - 6
5x + 3x - 1.5x = 30 - 6
6.5x = 24
x = 3.6923 (5 significant figures)
x = 3.69 (3 significant figures)