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Leviafan [203]
3 years ago
7

A pendulum travels 30 inches on it’s first swing. During each of its subsequent swings, its travels 90 percent of the previous s

wing. I didn’t see all parts to the question on here so I did it.

Mathematics
1 answer:
Maru [420]3 years ago
3 0
30 and .9 have an amazing day
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In ΔCDE, \overline{CE}
abruzzese [7]

Answer:

m\angle CDE=14^o

Step-by-step explanation:

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

see the attached figure to better understand the problem

so

∠DEF=∠ECD+∠CDE

substitute the given values

(4x+5)^o=(x+9)^o+(x+8)^o

solve for x

Combine like terms

(4x+5)^o=(2x+17)^o

Group terms

4x-2x=17-5

2x=12

x=6

Find the measure of angle CDE

m\angle CDE=(x+8)^o

substitute the value of x

m\angle CDE=(6+8)=14^o

8 0
3 years ago
A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?
lianna [129]

Answer:

The area of the sector is 12.8\pi\ units^2

Step-by-step explanation:

we know that

The area of a complete circle (16π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to 8π/5 radians

\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2

4 0
3 years ago
Read 2 more answers
Help please!! Thank you :)
DedPeter [7]

Answer: 5:3, 5/3, 5 to 3

Step-by-step explanation:

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1 year ago
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