Ask question

Ask question

All categories

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

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

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

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

You might be interested in

Henry baked 4 batches of 12

garri49 [273]

Answer: 43

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing they have the width 12.8 cm a

aleksandrvk [35]

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

5 0

3 years ago

the five members of the traynor family each buy train tickets during the train ride each family member buys a box one for $6.50

NeX [460]

Answer:

$43.20

Step-by-step explanation:

If each family member buys one ticket and one lunch, then for ticket price t we have the total expenditure as ...

5(t +6.50) = 248.50

t +6.50 = 49.70 . . . . . divide by 5

t = 43.20 . . . . . . . . . . subtract 6.50

The price of each train ticket is $43.20.

8 0

3 years ago

For the filming of a recent sci-fi movie, a model spaceship made to a scale of 1:16 was used. In the movie, the ship is supposed

Lunna [17]

Answer: 6.5 feets

Step-by-step explanation:

The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.

In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,

1:16 = x:104

1/16 = x/104

16x = 104

x = 104/16 = 6.5feets

So the length of the model is 6.5 feets

8 0

3 years ago

A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

8 0

2 years ago