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bogdanovich [222]
4 years ago
15

An airline has six flights from New York to California and seven flights from California to Hawaii per day. If the flights are t

o be made on separate days, how many different flight arrangements can the airline offer from New York to Hawaii?
a) 6*7=42
b) 6+7=13
c) 67 = 279936
d) 76 = 117649
Mathematics
1 answer:
Ilya [14]4 years ago
3 0

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Number of flights from New York to California = 6

Number of flights from California to New York = 7

Since if the flights are to be made on separate days,

So, they are independent events.

So, the number of different flight arrangements that can be made offer from New York to Hawaii would be

6\times 7\\\\=42

Hence, Option 'a' is correct.

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write three ratios that are equilvalent to the one given:18 right-handed students for every 4 left handed students
galina1969 [7]
Well, your ratio given is 18 to 4. so multiply both numbers (18 and 4) by some number and you will have an equivalent ratio. 
example: if you had 2 times as many people, then an equivalent ratio would be 18*2 to 4*2 = 36 to 8
7 0
3 years ago
At Rose State College Allison Wells received the following grades her accounting class 93, 60, 78, 89 ,78 and 82 Allison's instr
Lunna [17]

so you drop the 60.
93 + 78 + 89 + 78 + 82 = 420
420 \div 5 = 84

so the answer is 84
7 0
3 years ago
Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles
777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A:  Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0
4 years ago
Solve for the missing sides 30-60-90 triangle show work please and thank you
Alex_Xolod [135]

Answer:

4.

x=8\sqrt{3}

y=16

5.

x=3

y=3\sqrt{3}

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

a-a\sqrt{3}-2a

Where (a) is the side opposite the (30) degree angle, (a\sqrt{3}) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (\sqrt{3}). Thus the following statement can be made,

x=8\sqrt{3}

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

y=16

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

y=3\sqrt{3}

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

x=3

6 0
3 years ago
1+1=<br><br> 5<br> 2<br> 3<br> 1<br><br> help me plz
EleoNora [17]

Answer:

2 haha

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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