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Alex_Xolod [135]
3 years ago
9

The radius of a circle is 8 kilometers. What is the length of a 45° arc?

Mathematics
1 answer:
Andru [333]3 years ago
4 0
45/360 × 8 squared pi = 25 kilometers
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The figure is made up of two shapes, a semicircle and a rectangle.What is the exact perimeter of the figure?
grandymaker [24]
Perimeter of circular area = πr = 3.14 * 10 = 31.4 mm

Perimeter of rectangular area = 30 + 20 + 30 = 80 mm

Total Perimeter = 80 + 31.4 = 111.4

In short, Your Answer would be 111.4 mm

Hope this helps!
7 0
3 years ago
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Find the surface area of a rectangular prism with base 4 m by 5 m and height 8 m.
Andre45 [30]

Answer:

Step-by-step explanation:

surface area=area of sides +area of top and bottom

=2(4+5)×8+2×(4×5)

=2[(9×8)+20]

=2[72+20]

=2×92

=184 m²

4 0
3 years ago
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Find the nth term of the geometric sequence whose initial term is a1
Alborosie

Answer:

Step-by-step explanation:

geometric progresion formula:

a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}

6 0
3 years ago
A company has budgeted 5 1/4 hours to complete a project, with 1/3 of the time spent on research. How much time does the company
elena-s [515]

Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

First, convert the budget from hours into minutes.

5 1/4 hours = 315 minutes

1 hour = 60 min

1/4 hour = 15 min

60 x 5 = 300

300 + 15 = 315

Then, divide the minutes by 3 or multiply it by 1/3.

315 / 3 = 105

315 x 1/3 = 105

Lastly convert to a mixed number.

1 3/4 hour

Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.

7 0
3 years ago
Why is the polynomial, 4x^2y + 5xy classified as a 3rd degree binomial?
Ronch [10]
The polynomial has two terms. The exponent of the first term is two. The exponent of the second term would be 1 because 5xy^1 is equal to 5xy.
6 0
4 years ago
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