Answer:
π m
Step-by-step explanation:
Arc length = 2πr
where r = radius and 0 = central angle
The given radius is 4m and the given central angle is 45°
Thus, arc length = 2π4
* simplify *
( note when simplifying we leave our answer in terms of π as the answer choices do. )
2 * 4 = 8
arc length = 1π
Hence, arc length = 1π or just π
Answer:
∠ ABC = 87°
Step-by-step explanation:
∠ ABD and ∠ DBE are adjacent angles and are supplementary, sum to 180° , so
2x - 17 + x + 32 = 180 , that is
3x + 15 = 180 ( subtract 15 from both sides )
3x = 165 ( divide both sides by 3 )
x = 55
Then
∠ DBE = x + 32 = 55 + 32 = 87° , thus
∠ ABC = ∠ DBE ( vertical angles )
∠ ABC = 87°
21) Since all angles = 180,
180=66 + 79 + (43 + x)
Subtract (66 + 79) from both sides, you’d get
35= 43 + x
subtract 43 from both sides and x = -8
Answer:
-7.
Step-by-step explanation:
Fractions are division! If you don't know what a quotient is, It is basically a more complicated way of saying "find the answer by dividing." So we always divide the numerator (top number) by the denominator (bottom number). So we get 14÷-2 and we can see that -2 is a negative number, so remember that a positive times or divided by a negative is always a negative number. So therefore we get -7 as our quotient.
If chase won the next 18 matches then he will be able to get a 75% winning record.
Step-by-step explanation:
Let the no. of games chase has to win be 'y'.
He has won 18 matches out of 30.
If he won y matches more he will have a 75% winning record.
To find the percentage we should calculate,
% = (no. Of matches won) x 100/ (total no. of matches)
As the no. of matches won increases, the total no. of matches also increases.
So y should be added to the matches won and also to the total no. of matches played.
[(18+y) /(30+y) ] x 100 = 75%
[(18+y) (100) ] = 75(30+y)
1800 + 100y = 2250 + 75y
100y - 75y = 2250 - 1800
25y = 450
y = 18
So if chase won next 18 matches then he will be able to get a 75% winning record
