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Elena-2011 [213]
3 years ago
10

A ship is sailing on the sea. It travels 50 miles at 60° to the horizontal. Then the ship travels 90 miles at 30° to the horizon

tal
before coming to a stop. How many miles North has the ship travel?
A)
25+ 4573
B)
25V3+45
D)
70
E)
140
Mathematics
1 answer:
pav-90 [236]3 years ago
7 0

Answer:

(25\sqrt{3}+45)\ miles

Step-by-step explanation:

we know that

The total vertical distance (total miles North) traveled is equal to

d=50sin(60^o)+90sin(30^o)

Remember that

sin(60^o)=\frac{\sqrt{3}}{2}

sin(30^o)=\frac{1}{2}

substitute

d=50(\frac{\sqrt{3}}{2})+90(\frac{1}{2})

d=(25\sqrt{3}+45)\ miles

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What is the value of 2.5 - 14.3 (-18.2)?
julia-pushkina [17]

Answer:

262.76

Step-by-step explanation:

We must follow our order of operations here, which tell us to multiply before we subtract.

-14.3 • (-18.2) = 260.26

Then we can look at what's left:

2.5 + 260.26

Work that out to get your answer, 262.76

6 0
3 years ago
Add and round to the correct number of significant digits: 13.8 + 60 A.70
ArbitrLikvidat [17]
The correct answer is C
6 0
3 years ago
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. T
lidiya [134]

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

7 0
2 years ago
A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. one plank is painted white and it st
Sliva [168]

The correct option is 9 feet.

The height from the ground the white plank after the motion is 9 feet.

<h3>What is rotational motion?</h3>

Anything that spins or moves in a circular route is said to be in rotational motion. It's also referred to as angular motion and circular motion. The motion can be uniform (— in other words, the velocity v remains constant) and non-uniform, but it must be circular.

Now, according to the question;

The wheel's radius is 4 feet.

The height of a bottom of a wheel from the ground equals 1 foot.

π/3 radians is the angle where the wheel is rolled.

The following relationship describes the height of a revolving wheel.

f(t) = A·sin(B·t + C) + D

Where,

D = Mid line =  4 + 1 = 5 feet

B·t = π/3

C = 0

amplitude; A = 4

Substituting the values in the function;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

f(t) = 9 (approx)

Therefore, the plank's height after the /3π/3 rotation motion = 9 ft.

To know more about the rotational motion, here

brainly.com/question/2136775

#SPJ4

3 0
2 years ago
Evaluate 2 p-q when p=17 and q=3.
BigorU [14]

Final answer:

The value of the expression is 31.

Step-by-step explanation:

Substitution is a process of putting the values of variable in the expression.

Given: p=17 and q=3

To find: value of 2p-q

We will substitute the values and simplify.

Putting the values of variables in the expression as

2p-q = 2x17-3 =34-3 = 31

For more check here: brainly.com/textbook-solutions/q-2-evaluate-2-p-q-p-17-q-govvt8

4 0
2 years ago
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