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andre [41]
3 years ago
5

Two boys on bicycles start from the same place at the same time. One cyclist travels 15 miles per hour, the other travels 12 mil

es per hour, if they travel in the same direction, how many hours will it take before they are 9 miles apart?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

Answer:

v

Step-by-step explanation:

cxx

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In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

sin(\angle BDC)=BC/BD

BC=(BD)sin(\angle BDC)

substitute the values

BC=(22)sin(30\°)=11\ cm

6 0
3 years ago
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those pre
dimaraw [331]

Answer:

111.35

Step-by-step explanation:

effective rate: .085/12= .007083333333333333

payment=x

3000=x(\frac{1-(1+.007083333333333333)^{-30}}{.007083333333333333})\\x=111.35

8 0
2 years ago
Read 2 more answers
2x+3y=41 and 5x+4y=85
Sever21 [200]

Answer:

5x+4y=85-

 Slope = -2.500/2.000 = -1.250

 x-intercept = 85/5 = 17

 y-intercept = 85/4 = 21.25000

2x+3y=41-

 Slope = -1.333/2.000 = -0.667

 x-intercept = 41/2 = 20.50000

 y-intercept = 41/3 = 13.66667

5 0
3 years ago
PLEASE HELP ASAP
zaharov [31]
Wouldn’t it be 0, as that’s when their values are both equal to each other, making the equation true?
4 0
3 years ago
How to determine the missing angle
Elena L [17]
To determine the missing angle you simply subtract the angle you know from 180 because a flat line is 180 degrees. If it is a circle you subtract the number from 360. Hope this helps!
6 0
3 years ago
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