1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dafna1 [17]
3 years ago
14

Hannah 7.5

Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0
Let us first write down the weight of the three individual people mentioned in the question. this will help in solving the problem.
Weight of Hannah = 7.5
Weight of Wilson = 11.6
Weight of Dillon = 28.9
Now
Combined weight of Hannah and Dillon = 7.5 + 28.9
                                                                = 36.4
Now
Difference between the combined weight of
Hannah and Dillon and the individual weight of Wilson = 36.4 - 11.6
                                                                                       = 24.8
So the difference between the combined weight of Hannah and Dillon with the individual weight of Wilson is 24.8
You might be interested in
If 13cos theta -5=0 find sin theta +cos theta / sin theta -cos theta​
Ivahew [28]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.

\red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.

Where,

  • PQ = Opposite side
  • QR = Adjacent side
  • RP = Hypotenuse
  • ∠Q = 90°
  • ∠C = θ

As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

\rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}}

Since, we know that,

  • cosθ = 5/13
  • QR (Adjacent side) = 5
  • RP (Hypotenuse) = 13

So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.

Therefore,

\red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}}

\rule{200}{3}

\sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}}

∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

\rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}}

Where,

  • Opposite side = 12
  • Hypotenuse = 13

Therefore,

\sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}}

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

\rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}}

  • By substituting the values, we get,

\rule{200}{3}

\sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}}

∴ Hence, the required answer is 17/7.

6 0
2 years ago
What is the inverse of the function f (x) = 3(x + 5)2 – 4, such that x ≤ –5?
natali 33 [55]
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.


3 0
2 years ago
Please help me I will give a brainly
bearhunter [10]
I believe the answer is “one solution”. I hope this helps :)
8 0
2 years ago
Xavier wants to distribute his baseball card collection evenly among his 8 younger brothers. What equation can be used to find c
defon
This would be D:).... C = the number of cards his brothers each get. 

4 0
3 years ago
In 2003, the population of an African country was about 23.5 million people, which is 3 million more than 5 times the population
RUDIKE [14]

Answer:

Step-by-step explanation:

An equation is 5p + 2 = 18.5.

The 1950 population was approximately 3.3 million.

Step-by-step explanation:

If p  million was the population in 1950 the equation is:

5p + 2 = 18.5

5p = 16.5

p = 16.5 / 5

p =  3.3 million.

4 0
2 years ago
Other questions:
  • Mon poured 100 kilograms of water into 10 kg of salt. He made ___ kilograms of ___% salt solution.
    10·2 answers
  • During a flu epidemic, 44 students out of the 80 who are in Ms Grant’s class were absent. What percent were absent?
    9·2 answers
  • Find the length of the darkened arc. Leave your answer in terms of pi.​
    13·1 answer
  • Please help! Will give brainliest!!!
    11·1 answer
  • 6.) Which trigonometric function is equal to Cos 84°?
    10·1 answer
  • How do you change your username on Brainly?
    7·1 answer
  • Please help me fasttttttttt
    10·1 answer
  • 2. How much money will you have in 2 years if you put $400 in the
    11·1 answer
  • How many solutions does the equation 3x+15=2x+10+x+5 have
    6·1 answer
  • This figure represents a small collectible box. Vicki wants to cover 45 of the surface with glitter.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!