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yanalaym [24]
3 years ago
14

During WWII, German U-boats would dive 150 meters below the surface. If an enemy ship was 330 meters away on the surface, at wha

t angle of elevation x should the U-boat shoot to hit the ship? (round to the nearest whole degree)

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

Answer:

24°

Step-by-step explanation:

The diagram attached is a pictorial representation of the position of the Gun Boat and the Enemy ship. We want to determine the given angle.

Tan \theta= \frac{Opposite}{Adjacent}

Tan \theta= \frac{150}{330}

\theta= arctan (\frac{150}{330})

\theta= 24.4^{0}

The angle of elevation is 24° to the nearest degree.

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A cone has a radius of 10 cm and and height of 9 cm. What is the approximate volume of the cone? Use 3.14 for π.
astraxan [27]

Answer:

The volume of the cone is 942cm^3

Step-by-step explanation:

The given cone has a radius of 10 cm and and height of 9 cm.

The volume of a cone is given by:

V=\frac{\pi r^2h}{3}

We substitute r=10 and h=9 ,  \pi=3.14 to obtain:

V=\frac{3.14*10^2*9}{3}

Simplify exponents to get:

V=\frac{3.14*100*9}{3}

Simplify:

V=314*3\\V=942cm^3

Therefore the volume of the cone is 942cm^3

8 0
3 years ago
Dylan borrowed $2100 from the bank for 15 months. The bank discounted the loan at 2.6%. How much was the interest? $ State your
melomori [17]

Answer:

actual rate of interest is 2.08 %

Step-by-step explanation:

Given data

borrowed = $2100

time = 15 months

rate = 2.6%

to find out

interest and receive from the bank and actual rate of interest

solution

we know bank discounted the loan at 2.6%

so interest will be 2.6% of $2100

that is  = 2.6/100 × 2100

interest = $54.60

so receive from the bank  is  borrowed money - interest

receive = 2100 - 54.60

receive from the bank is $2045.40

and we can say that interest is directly proportional to time

so interest of 12 months / interest of 15 month = 12 month time/ 15 month time

here  interest of 12 months = 12/15 ×  interest of 15 month

interest of 12 months = 12/15 × 54.60

interest of 12 months is $43.68 (annually)

now we can calculate actual rate of interest

that is = interest / borrowed money × 100

actual rate of interest = 43.68/2100 × 100

actual rate of interest is 2.08 %

6 0
3 years ago
Find NL. Not sure to to solve this.
Paul [167]

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

I hope I helped you^_^

4 0
3 years ago
Read 2 more answers
You randomly draw a marble from a bag of marbles that contains 8 blue marbles, 5 green marbles, and 8 red
Viktor [21]

P(red & blue) = 16/21

5 0
3 years ago
Read 2 more answers
What is the solution to the system of equation <br><br> -2x+6y=-38<br> 3x-4y=32
Alla [95]

Answer:

x= 4

y= -5

Step-by-step explanation:

-2x+6y=-38    equation 1

3x-4y=32     equation 2

using equation 1 we have:

-2x+6y=-38  

6y +38 = 2x

3y + 19 = x   equation 3

using equation 3 in equation 2 we have:

3(3y + 19) - 4y = 32

9y + 57 -4y =32

5y = 32 -57

5y = -25

y= -25/5

y = -5

so we have:

3y + 19 = x  

3(-5) +19 = x

x= 4

5 0
3 years ago
Read 2 more answers
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