a cottage is on a bearing of 200° and 110° from Dogbe's and Manu's farm respectively. If Dogbe walked 5km and Manu 3km from the cottage to their farm, find and correct to 2 s.f the distance between the two farms and correct to the nearest degree, the bearing of Manu's farm from Dogbe's
PLEASE NOTE: DOGBE AND MANU ARE NAMES
Answers
Based on the drawing obtained from the description, the location of
Manu's farm is located relatively south to Dogbe's farm.
The distance between the two farms is approximately 3.8 kmThe bearing of Manu's farm from Dogbe is approximately 238°Reasons:
The bearing of the cottage to Dogbe's farm = 200°
The distance Dogbe walks from the cottage to his farm = 5 km
The bearing of the cottage from Manu's farm = 110°
The distance Manu walks from the cottage to his farm = 3 km
Required:
The distance and between the two farms.
Solution:
Please find attached a drawing showing the position of the cottage
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)Where;
b = The distance Dogbe walks from the cottage to his farm = 5 km
c = The distance Manu walks to his farm from the cottage = 3 km
a = The distance between the two farms = d
A = The angle between the paths to the cottage from the farms = 50°
By plugging in the values, we have;
d² = 5² + 3² - 2 × 5 × 3 × cos(50°)
d = √(5² + 3² - 2 × 5 × 3 × cos(50°)) ≈ 3.8
The distance between the two farms, d ≈ 3.8 kmRequired:
The bearing of Manu's farm from Dogbe's
Solution:
By sine rule, we have;
[tex]\displaystyle \frac{3}{sin(C)} = \mathbf{ \frac{d}{sin(50^{\circ})}}[/tex]Which gives;
[tex]\displaystyle sin(C) = \mathbf{\frac{3 \times sin(50^{\circ})}{\sqrt{5^2 + 3^2 - 2 \times 5 \times 3 \times cos(50^{\circ})} }}[/tex]
[tex]\displaystyle \angle C = arcsine \left(\frac{3 \times sin(50^{\circ})}{\sqrt{5^2 + 3^2 - 2 \times 5 \times 3 \times cos(50^{\circ})} } \right) \approx 38 ^{\circ}[/tex]
The bearing of Manu's farm from Dogbe's = 200° + ∠C
Therefore;
The bearing of Manu's farm from Dogbe's ≈ 200° + 38 = 238°Learn more about bearings in mathematics here:
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Answers
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Step-by-step explanation:
just try this in calculator
if you help me you get brainly
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Answer:
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9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )
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Step-by-step explanation:
Answer:
Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.
Step-by-step explanation:
Hope it helps. Mark brainiest if it does!
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Answer:
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[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\huge\text{GUIDE} \ \boxed{\downarrow}\\\large\boxed{\mathsf{>: is \ \bf greater \ than }}\\\\\large\boxed{\mathsf{<: is \bf \ less\ than}}\\\\\large\boxed{\mathsf{\geq: is \ \bf greater\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{\leq: is\ \bf less\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{=: is \ \bf equal \ to}}[/tex]
[tex]\huge\text{GUIDE \#2}\ \boxed{\downarrow}\\\large\text{When you are working with greater than, you're basically shows}\\\large\text{when a number is BIGGER than the other number.}\\\\\large\text{When you are working with less than you are finding the opposite}\\\large\text{of greater than. (it shows when a number is SMALLER than the}\\\large\text{number.)}[/tex]
[tex]\\\large\text{When you are working with greater than or equal to, you are }\\\large\text{basically finding out if the number is greater or equal to the other }\\\large\text{number.}\\\\\large\text{When you are working with less than or equal to you are trying to}\\\large\text{figure out if your number is less than or equal to the other}\\\large\text{number.}[/tex]
[tex]\huge\text{ANSWERING YOUR GIVEN QUESTION}\ \boxed{\downarrow}[/tex]
[tex]\large\boxed{\rm{-0.75 \ ? \ -\dfrac{3}{4}}}[/tex]
[tex]\large\text{I'm going to make this easier to solve for you. I will convert the}\\\large\text{fraction }(\rm{-\dfrac{3}{4}})\large\text{ into a decimal. To do so, you have to DIVIDE the}\\\large\text{numerator (the number on TOP) from the denominator (the}\\\large\text{BOTTOM number)}[/tex]
[tex]\large\text{REMEMBER }\textbf{!}\\\large\text{Negatives are BELOW zero. (including decimals \& fractions).}\\\\\large\text{Positives are ABOVE zero}[/tex]
[tex]\large\boxed{{\mathsf{- \dfrac{3}{4}}}}\\\\\\\large\boxed{\mathsf{\rightarrow - 3\div 4}}\\\\\\\large\boxed{\rightarrow\mathsf{-0.75}}[/tex]
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[tex]\huge\boxed{\text{Therefore, your answer is: }}\ \huge\boxed{\mathsf{-0.75 \bold{\ =} -\dfrac{3}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
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Answer:
How do you turn 335 into a fraction?
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Step-by-step explanation:
Answer:
3 7/2000 or 6007/2000
Step-by-step explanation:
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And you don’t need to calculate them to know that.
First, you know that polynomials of grade three have either one or three real roots. Second, you know that to have three real roots, they have to have a local maximum and a local minimum.
Take the derivative of your polynomial
()′()=23+8−7=62+8 f(x) =2
x
3
+8x−7
f
′
(x) =6
x
2
+8
Find the possible zeros of the derivative
′()=62+8=0
f
′
(
x
)
=
6
x
2
+
8
=
0
and see that there are no real zeros of the derivative. So the polynomial has no local maxima or minima, so it has exactly one real zero.
For the same reason every polynomial of the form
3++
a
x
3
+
b
x
+
c
with ,>0
a
,
b
>
0
has exactly one real root
15
2
Using the digits 1 to 9 at most one time each fill in the boxes to create an equation that has a negative solution
[]x+[]=[]x+[]
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Answer:
[4]x+[8]=[1×]+2
Step-by-step explanation:
x will be negative now that the more x you have the higher your number will have to be.
The requried, x is negative, the left-hand side of the equation is positive, but the right-hand side is negative, so the equation has a negative solution as x = -3.5.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
One possible solution is,
[1]x + [2] = [3]x + [9]
To see that this equation has a negative solution, we can rearrange it to get:
x + 2 = 3x + 9
x - 3x = 9 - 2
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x = -3.5
Since x is negative, the left-hand side of the equation is positive, but the right-hand side is negative, so the equation has a negative solution.
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Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
7x + 2y = –1
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Answers
Answer:
7x + 2y = 1
Step-by-step explanation:
1. Find the slope of the line.
(y2-y1)/(x2-x1) ----> (11 - (-3))/((-3) -1) ----> (11+3)/ (-3 -1) ----> 14/-4
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2. Write into slope intercept form.
y=mx+b (m is the slope) (b is the y intercept)
y = (7/-2)x + b
We now need to find the value of b, this can be done by plugging in values of x and y, and using algebra to solve.
11 = (7/-2)(-3) + b
11 = 10.5 + b
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slope intercept form y = (7/-2)x + 1/2
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*In this form we our a term cannot be a fraction nor can it be negative*
1. Get x and y on the same side, and since our x term is negative right now, we can make it positive by adding it on both sides.
(7/2)x + y = 1/2
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2(7/2)x + 2y = 2(1/2)
Simplify and you get
7x + 2y = 1
Answer:
Step-by-step explanation:
Answer:
The Width of the garden will be 9 feet.
Step-by-step explanation:
Given:
Manny has wood =48 feet
Length of the garden = 15 feet
The equation which can be used .
We need to find the width of the garden.
Solution :
Now Length of the garden is given we will substitute in the given equation to find the width.
Now Using Subtraction property we will subtract both side by 30 we get;
Now Using Division Property we will divide both side by 2 we get;
Hence the Width of the garden will be 9 feet.
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Answers
Answer:
1. = station A
because 15 gallons = 0.75 discount at B but station A has a 1.50 discount at 15 gallons
Step-by-step explanation:
2. for satation B you have to read the graph
but for station A it is unclear on the graph
a way to work it out is that you know that 10= 1.00 so 12 = 1.2
( divide 12 by 10 )
station B = discount for 12 gallons = 0.6
but Station A = discount for 12 gallons = 1.2
the difference is
1.2 - 0.6 = 0.6 discount
Answer the original questions. (2 points: 1 point ea a) How long is each individual act? b) How long is each group act
Answers
Answer:
a) Each individual act will last 5 minutes.
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Step-by-step explanation:
I think this is right
Farmer David has 24 chickens. He gives a quarter of the chickens to Sally and a sixth of the chickens to Patience. How many chickens does he have left?
Answers
Answer:
14
Step-by-step explanation:
One fourth is 6 and one with is 4. So 4+6=10.24-10=14.
Answer:
14
Step-by-step explanation:
If you have 24 chickens, a quarter of 24 is 6. Then, a sixth of 24 is 4. 6+4=10. 24-10=14. So, he would have 14 chickens left.
Which of the following is a proportion?
Answers
Will give brainliest!
Answers
Answer:
Step-by-step explanation:
25-10=15kgs
15+5=20minutes
1/2*15=7.5hrs
7:05-2:00=5:05pm
