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Kay [80]
3 years ago
5

Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure

of the central angle is 54 degrees, as shown.
What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

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Evaluate the function.
Natali5045456 [20]
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.

1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16

Hope this helps! Good luck!
5 0
3 years ago
Read 2 more answers
A lifeguard is in a look out chair and sees a person in distress. The eye level of the lifeguard is 15 feet above the ground. Th
faltersainse [42]

Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = \frac{height}{base}

               Here base is the horizontal distance.

               Now we put the values in the formula.

               tan 34° = \frac{15}{base}

              Or Base = \frac{15}{tan34}

                             = \frac{15}{0.675} = 22.22 feet

So the answer is 22 feet.

7 0
3 years ago
What is the mean of the data set?
olga nikolaevna [1]

Answer:

183

Step-by-step explanation:

125+141+213+155+281=915

915 divided by 5=183


3 0
4 years ago
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Find two numbers if their ratio is 9:11 and their difference is 6.
erastova [34]

Answer:

Step-by-step explanation:

27,33

9*3 is 27

11*3 is 33

33-27 is 6

i only have one, sorry!

8 0
3 years ago
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Determine whether y varies directly with x. If so, find the constant of variation k and write the equation
nydimaria [60]

y/x = k

6.4/4 = 1.6

11.2 / 7 =1.6

16/10 = 1.6

20.8 /13 =1.6


This is a direct variation and the constant is 1.6

y=1.6x

8 0
3 years ago
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