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umka21 [38]
3 years ago
9

Please help me solve this!!

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

Abelito had the greater average speed

Step-by-step explanation:

Given

Bobby:

Distance =4\ miles

Time = 30\ minutes

Abelito

Distance = 10\ miles

Time = 48\ minutes

Required:

Who had a greater average speed

Average speed (S) is calculated as:

S = \frac{Distance}{Time}

We will make use of mph (miles per hour) as the unit of speed.

For Bobby:

S_B = \frac{4\ miles}{30\ minutes}

Convert minute to hour

S_B = \frac{4\ miles}{0.5\ hr}

S_B = 8mph

For Abelito

S_A = \frac{10\ miles}{48\ minutes}

Convert minute to hour

S_A = \frac{10\ miles}{0.8\ hr}

S_A = 12.5mph

By comparison: 12.5mph > 8mph

Hence: Abelito had the greater average speed

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MA_775_DIABLO [31]

Answer:

Law of Sines

Step-by-step explanation:

Law of Sines: \frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}

Step 1: Solve for m∠B

\frac{25}{sin36} =\frac{27}{sinx}

25sinx = 27sin36°

sinx = 27sin36°/25

x = sin^{-1}(\frac{27sin36}{25} )

m∠B ≈ 39.4°

Step 3: Find m∠C

180 - (36 + 39.4)

180 - 75.4

m∠C = 104.6°

5 0
3 years ago
​ f(1)=72 f(n)=f(n−1)+9 ​ Find an explicit formula for f(n)
myrzilka [38]

a_{n} = 9n + 63

generate the first few terms using the recursive equation

f(1) = 72

f(2) = 72 + 9 = 81

f(3) = 81 + 9 = 90

f(4) = 90 + 9 = 99

the sequence is 72, 81, 90, 99, .....

This is an arithmetic sequence whose n th term formula is

a_{n} = a_{1} + (n - 1 )d

where a_{1} is the first term and d the common difference

d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and a_{1} = 72

a_{n} = 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula


8 0
2 years ago
The cost of a car rental is ​$35 per day plus 21 cents per mile. You are on a daily budget of ​$98. Write and solve an inequalit
erma4kov [3.2K]
Let x = mileage
98 >= 35 + .21x
Solving for x:
98 >= 35 + .21x
63 >= .21x
300 >= x
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This says that if the total mileage is 300 miles or less he will be within his budget.
4 0
2 years ago
Three ratios that are Equivalent to 11:1
marin [14]

Answer:

1-22:2

2-33:3

3-44:4

Step-by-step explanation:

11+11=22

22+11=33

33+11=44

1+1=2

2+1=3

3+1=4

so, 22:2

33:3

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6 0
3 years ago
What is the <br>greatest common factor of 27 and 18?​
expeople1 [14]

Answer:

9

Step-by-step explanation:

27:

1,3,9, 27

18:

1,2,3,6,9, 18

4 0
2 years ago
Read 2 more answers
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