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Leona [35]
3 years ago
15

Circle P has a radius of 45units. It includes a sector with a central angle of x˚ and an area of 1 square unit. Which proportion

could be used to determine the value of x?
Question 13 options:

1625π=x360

2516π=x360

1625π=x180

2516π=x180
Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Step-by-step explanation:

area of sector =x°/360×π×r²

1unit²=x°/360×π×45²

360=x°×π×2025

i think this is your answer.

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vampirchik [111]

Answer:

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7 0
3 years ago
Which value of x makes the following equation true? <br> 6(x - 1) = -2x + 50
lakkis [162]

Answer:

x=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x−1)=−2x+50

(6)(x)+(6)(−1)=−2x+50(Distribute)

6x+−6=−2x+50

6x−6=−2x+50

Step 2: Add 2x to both sides.

6x−6+2x=−2x+50+2x

8x−6=50

Step 3: Add 6 to both sides.

8x−6+6=50+6

8x=56

Step 4: Divide both sides by 8.

8x /8 = 56 /8

x=7

7 0
3 years ago
tori drew a scale drawing of a community. the scale she used was 4 millimeters =8 meters. what is the scale factor of the drawin
Talja [164]

Answer:

1000x

Step-by-step explanation:

There are 1000 mm in 1 m

6 0
3 years ago
The third term of a sequence is 120. The fifth term is 76.8. Write an explicit rule representing this geometric sequence.
juin [17]
The nth term of the geometric sequence is:
an=ar^(n-1)
where 
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
4 0
3 years ago
Read 2 more answers
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the variance.
Natalka [10]

Answer:

1.2

Step-by-step explanation:

The variance of a binomial distribution is:

σ² = n p (1 − p)

where n is the number of trials and p is the probability of success.

Given n = 5 and p = 0.40:

σ² = 5 (0.40) (1 − 0.40)

σ² = 1.2

4 0
3 years ago
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