Someone please help me with this math problem?

Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

[tex]South = 4.2km[/tex]

[tex]West = 7.1km[/tex]

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

[tex]\tan(a) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(a) = \frac{7.1}{4,2}[/tex]

[tex]\tan(a) = 1.6905[/tex]

Take arctan of both sides

[tex]a = \tan^{-1}(1.6905)[/tex]

[tex]a = 59.4^o[/tex]

The bearing that the scout should work is N59.4W for the shortest distance

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let  A represent the angle that the scouts walk

tan∠A = 4.2/7.1

A = 30.6°

The bearing that the scout should work is N59.4W (90 - 30.6) for the shortest distance

Find out more on Trigonometric ratio at: https://brainly.com/question/4326804

Answer:

D

Step-by-step explanation:

Hello,

A: no since (1/3)^3=1/27 not 1/9

B: no since (-1)^3=-1 not 1

C: no since (-2)^3=-8 not -6

D: yes since (-1/2)^3=-1/8

Answser D

Answer:

−10−1(−2)^3−1(−2)(−11)

● −10−1(−8)−1(−2)(−11)

●−10+8−1(−2)(−11)

●−10+8−22

●−10+8−22

☆Answer:-24

○●○●○●○●○●○

Hope it helps

Have a great day!!

Answer:

3x-2

---------

x-1

Step-by-step explanation:

simplify 18x/6x = 3x/1x

simplify 108/54 = 2/1

Answer:

5 years

Step-by-step explanation:

(x+15)=4x

15=4x-x

15=3x

5=x

Answer:

L=65-15d; continuous

Step-by-step explanation: L stands for the length of the leaf, 65 stands for the original length of the leaf(which will decrease), d stands for the days. the answer is L=65-15d continuous because the original size of the leaf when he bought it was 65(which can decrease over time), every afternoon he cuts the leaf by 15 (which means the size of the leaf is decreasing and by 15 every day) which gives me -15d, if he cuts the leaf by 15 every day and never changes the length of the cut then the function is continuous

Answer:

21.45 oz

Step-by-step explanation:

(16.5*0.3)+16.5=x

(4.95)+16.5=x

21.45

Answer:

top x-16.5

bottom 16.5

Step-by-step explanation:

im right

Answer:

You can't answer these questons

sorry

Hope This Helps!!!

Answer:

y = 7x and y = 28

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 56 when x = 8 , then

56 = 8k ( divide both sides by 8 )

7 = k

y = 7x ← equation of variation

When x = 4

y = 7 × 4 = 28

Answer:

B

Step-by-step explanation:

Trust me bro. It’s “B.”

Answer:

[tex]-3\frac{1}{3}[/tex]

Step-by-step explanation:

---------------------------------------

Given:

[tex](-4)+\frac{2}{3}[/tex]

--------------->>>>

Make the denominators the same.

[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]

--------------->>>>

Multiply inside the parenthesis.

[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]

--------------->>>>

Join the denominators.

[tex]\frac{-12+2}{ 3}=[/tex]

--------------->>>>

Add the numerators.

[tex]-\frac{10}{3}[/tex]

--------------->>>>

Convert to mixed fraction.

[tex]-3\frac{1}{3}[/tex]

---------------------------------------

Hope this is helpful.

Answer:

-10/3.

Step-by-step explanation:

(-4). 2

----- + ------

1 3

we have to make the denominator same:

so.,

-4. ×. 3. -12

---- ---- = ------

1. ×. 3. 3

-12 2. -12+2

---. + ---- =. -----------

3. 3. 3

-10

=. ----

3

Given:

In a two digit number the tens digit is 6 more than the units digit.

If the digits are interchanged, the sum of the new and the original number is 132.

To find:

The original number.

Solution:

Let the unit digit of the original number be x. So, the tens digit is (x+6) and the value of the number is:

[tex]m=(x+6)\times 10+x\times 1[/tex]

[tex]m=10x+60+x[/tex]

[tex]m=11x+60[/tex]

If we interchange the digits, then the value of new number is:

[tex]n=x\times 10+(x+6)\times 1[/tex]

[tex]n=10x+x+6[/tex]

[tex]n=11x+6[/tex]

The sum of the new and the original number is 132.

[tex]m+n=132[/tex]

[tex]11x+60+11x+6=132[/tex]

[tex]22x+66=132[/tex]

[tex]22x=132-66[/tex]

[tex]22x=66[/tex]

Divide both sides by 22.

[tex]x=\dfrac{66}{22}[/tex]

[tex]x=3[/tex]

So, the unit digit of the original number is 3 and the tens digit is:

[tex]x+6=3+6[/tex]

[tex]x+6=9[/tex]

Therefore, the original number is 39.

profit from selling 5 oranges is 20%

Profit percentage of  selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.

" Profit is defined as difference of cost price from selling price when the selling price of a product is greater than its cost price."

Formula used

Profit percentage = [tex]\frac{Selling price - cost price}{cost price} (100)[/tex]

According to the question,

We know that,

Selling price = cost price + profit

Substitute the given condition in the selling price formula we get,

Selling price of 5 oranges

= Cost price of 5 oranges + Selling price of 1 oranges

⇒(S.P of 5 oranges) - (S.P of 1 oranges) = C.P. of 5 oranges

⇒S.P of 4 oranges = C.P of 5 oranges

⇒[tex]\frac{S.P}{C.P}=\frac{5}{4}[/tex]

Substitute the value in the formula to get profit percentage,

Profit percentage = [tex]\frac{5-4}{4}(100)[/tex]

                              = 25%

Hence, profit percentage of  selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.

Learn more about profit here

https://brainly.com/question/15036999

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Answer:

c

Step-by-step explanation:

First graph is the correct one.

when x= 1

y=f(x) = -√1 = -1

when x= 2

y= -√2

Answer:

The surface area of the pyramid is 16.65 m^2.

Step-by-step explanation:

Answer:

[tex] = { \tt{50 - 2(32 + 1)}}[/tex]

Solve the bracket:

[tex] = { \tt{50 - 2(33)}}[/tex]

Open the bracket:

[tex]{ \tt{ = 50 - 66}}[/tex]

Subtract the expression:

[tex]{ \bf{ = - 16}}[/tex]

Step-by-step explanation:

Multiply 2 by 32 and 1

50-64-2

-14-2

-16 Answer

Answer:

y= -1/4x+ 3.75

Step-by-step explanation:

Answer: hello there here is your answer:

7%

Step-by-step explanation:

if you divide the difference between the two numbers it will give you a decimal ....you need to convert that decimal into a percent which is 7%

hope this help have a good day bye

Answer:

the other person is correct

Step-by-step explanation:

Answer:

c squared

Step-by-step explanation:

Answer:

C Squared

Step-by-step explanation:

Answer:

Aiden earned less money for his 8th than he earned for his 4th drive.

[tex]ANSWER:C[/tex]

-------------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

just multiply the numbers together, and it gives you 28, which is what she did thought everything

Answer:

520

Step-by-step explanation:

100% - 15% = 85%

85% of the original price is  442 dollars

100% = x

solve for x:

x * 0.85 = 442

x= 520 dollars

regular price is 520 dollars.

Answer:

AB is parallel to DC

Step-by-step explanation:

you have to tilt your head to the left for this one LOL

AB is parallel to DC

since 1 = 6

its the bottom of a triangle

Answer:

sorry I don't know but can u PLEASE MARK ME AS BRAINLIEST.

Step-by-step explanation:

.......

===========================================================

Explanation:

Let's start with what the hint gives us. So the first sub-goal is to prove triangle ABE is similar to triangle DCE.

Since points A and D are points of tangency, this means the radii of each of those circles is perpendicular to the common internal tangent. So angles EAB and EDC are 90 degrees each.

Due to the vertical angle theorem, we also know that angles AEB and DEC are the same (we don't know the measure but we know they're equal angles).

So we have two pairs of congruent corresponding angles between the triangles, which is sufficient to let us use the AA (angle angle) similarity theorem. Therefore, the triangles have been proven to be similar. Triangle DCE is a reduced scaled down copy of triangle ABE. Or in reverse, triangle ABE is an enlarged copy of triangle DCE.

-----------------------

Since the triangles are similar, we can form the proportion below and solve for x

AB/AE = DC/DE

x/18 = 4/6

x*6 = 18*4 .... cross multiplication

6x = 72

x = 72/6

x = 12

Therefore, segment AB is 12 units long, and this is the radius of circle B.

Answer:

Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= 5x³( x + 1) ← distribute parenthesis

= 5[tex]x^{4}[/tex] + 5x³ → D

Given:

Consider the given equation is:

[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]

To find:

The value of t in terms of p, q and r.

Solution:

We have,

[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]

It can be written as:

[tex]\dfrac{p}{\sqrt{2}}=\sqrt{\dfrac{t}{r+q}}[/tex]

Taking square on both sides, we get

[tex]\dfrac{p^2}{2}=\dfrac{t}{r+q}[/tex]

Multiply both sides by (r+q).

[tex]\dfrac{p^2(r+q)}{2}=t[/tex]

Therefore, the required solution is [tex]t=\dfrac{p^2(r+q)}{2}[/tex].