Answer:
x = 17
Step-by-step explanation:
Answer:
r = 40/π exact answer
r = 12.7 decimal approximation
Step-by-step explanation:
arc length formula
s = (∅/360) * 2πr
s = (∅/180) * πr
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Plug in the givens
10 = (45/180) * πr
10 = .25πr
Divide both sides by .25
40 = πr
divide both sides by π
40/π = r
r = 40/π exact answer
r = 40/3.14
r = 12.7 decimal approximation
If I'm correct the answer would be 8.
Answer:
130 students do not ride the bus to school.
Step-by-step explanation:
520 * .75 = 390
390 students ride the bus to school.
520-390=130
130 students do NOT ride the bus to school.
Hope this helps! :)
The values of a and b are -3 and -1 respectively
x³ + ax ²+ bx + 6 has (x - 2) as a factor. Therefore,
(2)³ + a2²+ 2b + 6 = 0
8 + 4a + 2b + 6 = 0
4a + 2b = -14
x³ + ax ²+ bx + 6 leaves a remainder 3 when divided by (x - 3). Therefore,
(3)³ + a3²+ 3b + 6 = 3
27 + 9a + 3b + 6 = 3
9a + 3b = 3 - 33
9a + 3b = -30
<h3>Simultaneous equation:</h3>
4a + 2b = -14
9a + 3b = -30
2b = -14 -4a
b = -7 - 2a
Therefore,
9a + 3( -7 - 2a) = -30
9a - 21 - 6a = -30
3a = -30 + 21
3a = -9
a = -9 / 3
a = -3
4a + 2b = -14
4(-3) + 2b = -14
-12 + 2b = -14
2b = -14 + 12
2b = -2
b = -2 / 2
b = -1
learn more on factors here:brainly.com/question/23689213?referrer=searchResults
