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vlada-n [284]
2 years ago
6

A ship traveled 120 km with the current, and then turned around and traveled back, spending 5h and 24 min on its trip. Find the

speed of the current if the speed of the ship in still water is 45 km/hour.
Mathematics
1 answer:
leva [86]2 years ago
4 0

LOL im also an RSM student

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What missing angle of the figure
aniked [119]

Answer:

138

Step-by-step explanation:

152+125=277

277-135=142

around 138

4 0
3 years ago
The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l
sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

A=\frac{\sqrt{3} }{4} x^2

(c)

A=\frac{3\sqrt{3} }{2} x^2

(d)

V=\frac{3\sqrt{3} }{2} x^3 units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

=\frac{\sqrt{3} }{4} b^2

h=3x

b=x

now, we can plug values

A=\frac{\sqrt{3} }{4} x^2

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

=6\times \frac{\sqrt{3} }{4} x^2

=\frac{3\sqrt{3} }{2} x^2

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)

V=\frac{3\sqrt{3} }{2} x^3 units^3


3 0
3 years ago
Read 2 more answers
Find y, if x = 60.<br> A) 30° <br> B) 35° <br> C) 40° <br> D) 45°
MArishka [77]
The answer is 30°.
Rule: All three sides must add up to 180
°. 
Since A=60 and the side vertical to the angle which is 90° then side C would be C=90° and that adds up to 150°, so you can conclude that angle B is 30°.
I hope I helped!
7 0
3 years ago
Read 2 more answers
What is an equation of the vertical line that passes through (-2, -9)
ser-zykov [4K]

Answer: x = -2

Step-by-step explanation: vertical lines are the x axis

3 0
3 years ago
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A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area?
lara31 [8.8K]

The formula for calculating area of parallelogram is given as:

Area = base x height

So, here in this question,

Base = 3. 5 units

Height = 2 units

Area = 3.5 x 2

= 7 unit^2

5 0
3 years ago
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