All categories

3 years ago

Mario programs his helicopter to fly at a target with a velocity (speed and direction) of p. The direction of p is

Mathematics

1 answer:

Butoxors [25]3 years ago

8 0

Answer:

3.0 m/s
236.3°

Step-by-step explanation:

The wind speed can be found using the Law of Cosines. It will be the unknown side of a triangle with sides 6 and 5 and included angle 30°.

s^2 = 6^2 +5^2 -2·6·5·cos(30°) ≈ 9.038476

s ≈ √9.038476 ≈ 3.0064 . . . . m/s

The direction of the wind can be found from the Law of Sines, which tells us the relationship of the internal angle A to velocity vector a is ...

sin(A)/a = sin(30°)/3.0064

A = arcsin(5/3.0064·sin(30°) ≈ 56.26°

To find the desired angle, we must add 180° to this value.

The wind is blowing 3.0 m/s in direction 236.3°.

You might be interested in

I do 10 - 8 for this, right...?

natima [27]

No, you would do 100 - 64 because 10^2 is 100 and 8^2 is 64.
100-64= 36
The square root of 36 is 6. The length of the other leg is 6.

6 0

3 years ago

Write the following phrase using symbols 5 times the sum of u and w

Natali5045456 [20]

5(u+w) it is using distributive property.

6 0

4 years ago

B.<br>48(a’b2c2 + a²b3c2 + a²b²c3)<br>- 2a2b2c2

DiKsa [7]

Step-by-step explanation:

what what what what what what what what what what what what what what

8 0

3 years ago

In 10 weeks, the value of Bob Treatmans day trading account decreased by $500. What was the average weekly change in the value o

SVETLANKA909090 [29]

The second one $50 per week
$500 divided by 10=50

5 0

3 years ago

Suppose $1,500 is compounded weekly for 46 years. If no other deposits are made, what rate is needed for the balance to triple i

Crazy boy [7]

Answer:

The rate is needed is 1.037%.

Step-by-step explanation:

Given : Suppose $1,500 is compounded weekly for 46 years. If no other deposits are made.

To find : What rate is needed for the balance to triple in that time?

Solution :

Applying compound interest formula,

$A=P(1+\frac{r}{n})^{nt}$

Where, P is the principal

A is the amount

The balance to triple in that time i.e. A=3P

r is the rate

t is the time t=46 years

Compounded weekly so n=52

Substitute the value in the formula,

$3P=P(1+\frac{r}{52})^{52\times 46}$

$3=(1+\frac{r}{52})^{2392}$

Taking log both side,

$\log 3=2392\ log(1+\frac{r}{52})$

$\frac{\log 3}{2392}=\ log(1+\frac{r}{52})$

$0.00019946=\ log(1+\frac{r}{52})$

Taking exponential both side,

$e^{0.00019946}=1+\frac{r}{52}$

$1.000199-1=\frac{r}{52}$

$0.000199=\frac{r}{52}$

$r=0.000199\times 52$

$r=0.010372$

Into percentage,

$r=0.010372\times 100$

$r=1.0372$

Therefore, the rate is needed is 1.037%.

5 0

3 years ago