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tatuchka [14]
3 years ago
14

Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is

one-fifth of the measure of the
circle.
Mathematics
1 answer:
irinina [24]3 years ago
4 0
30 pi inches divided by the one fifth angle is gonna be 6
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A fish population in a lake decreases by 2% each year. What is the common ratio? (Write your answer as a decimal)
galina1969 [7]

Answer:

the common ratio is 0.98.

Step-by-step explanation:

A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.

The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%

Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,

98% = \frac{98}{100}=0.98

Therefore, the common ratio or decay factor is 0.98.

8 0
3 years ago
The feet of a commemorative parabolic steel arch 100m high are 200m apart. Determine whether the focus of the arch is above or b
Neko [114]
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft. The correct answer is 75 ft above. T The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2 To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a). By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75). So we conclude that the focus lies 75ft above ground.</span>
7 0
3 years ago
Read 2 more answers
Please help! Due tonight!
Kay [80]

Answer:

B. 6,8,10

Step-by-step explanation:

to find a right triangle the equation: a^2 + b^2 = c^2, so just plug each number in to see.

6^2 + 8^2 = !0^2

36 + 64 = 100

100 = 100

Personally i knew almost immediately because 3,4,5 are the most common right triangles example and 6,8,10 are just a x2 of them so yea.

3 0
3 years ago
In the same amount of time, James drove twice as far as Roger. Altogether, James and Roger drove 90km. Find the number of kilome
miskamm [114]

Answer:

james drove 60 and roger drove 30

Step-by-step explanation:

90/3= 30= roger

90/3=30x2=60= james

james(60)+roger(30)= 90

8 0
3 years ago
What is 10x10? I really need some help please and thank you.
REY [17]
Br uh it’s 100 thx for the points
6 0
2 years ago
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