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2 years ago

A boat traveled 27 miles in 2 hours. At this, how many miles will the boat travel in 1/2 hour?

1 answer:

4 0

You do distance over time to get the rate, so you'd do 27/2= 13.5mph then divide that in half since you're asking for the distance traveled in half that hour so you do 13.5/2 and you get 6.75 miles traveled in half and hour.

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Use the law of cosines to find the length of side C.

sergij07 [2.7K]

Answer:

$\text{D. 36.64}$

Step-by-step explanation:

The Law of Sines is given by $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ and works for any triangle.

Therefore, we have the proportion:

$\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}$

8 0

2 years ago

Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 t

adell [148]

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

$D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}$

The odd multiples of 9, $m$ , in the range $2\le m \le 82$ form the set

$\{9,27,45,63,81\}$

Each member of the set is a term of the arithmetic progression

$U_n=18n+9$

where the values of $n$ range from 0 to 4, or $0\le n\le 4$

Putting these facts together, we get the result

$D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}$

Learn more about set-builder notation here: brainly.com/question/17238769

3 0

2 years ago

What is a reasonable estimate for the problem? 3 3/4 x -2/5

Airida [17]

Answer:

You can not break that down any further if x does not equal anything and the equation is not equal to anything.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

2x +4 (3 - 2x) = 3(2x + 2)/6 + 4<br> from my math book

liberstina [14]

Answer:

x = 1

Step-by-step explanation:

2x +4 (3 - 2x) = 3(2x + 2)/6 + 4

2x+12-8x = (6x+6)/6 +4

-6x + 12 = x+1+4

12-5 = 7x

7x = 7

x=1

Hope this helps!

4 0

2 years ago

Read 2 more answers

In right triangle ABC, B = 51° and AB = 14. BC = _____

liq [111]

The final angle has an angle measure of 115 degrees.

4 0

3 years ago