Answer:
135°
Step-by-step explanation:
The reference angle appears to be about 45°, so a reasonable estimate of the angle size is 180° -45° = 135°.
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You can do an eyeball comparison with the figure attached to see that the angle is about 135°
This is also the value I see when I place my protractor against the screen.
Answer:
5115
Step-by-step explanation:
a1(1-(r)^n)/1-r
5(1-(2.00)^10)/1-2.00
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
=
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
=
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Answer:
Alabama, Alaska, American Samoa, Arizona, Arkansas.
California, Colorado, Connecticut.
Delaware, District of Columbia.
Florida.
Georgia, Guam.
Hawaii.
Idaho, Illinois, Indiana, Iowa.
Kansas, Kentucky.
2/9 is equals 0.22222222222 Hope it helped you
