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hammer [34]
3 years ago
6

Abc~xyz with ab=16 and xy=24 if the length of the median of the smaller triangle is 6in how long is the corresponding median of

the larger triangle ? (show your work)
Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

9 inches

Step-by-step explanation:

Since the triangle are similar then the ratios of corresponding sides are equal

let x be the longer median, then

\frac{16}{24} = \frac{6}{x} ( cross- multiply )

16x = 6 × 24 = 144 ( divide both sides by 16 )

x = 9



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Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t
malfutka [58]

Answer:

  • P(t)=37\times (4)^{(t/9.1)}

Explanation:

The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>

Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:

Start:        37 letters

  • In 9.1 weeks: 37 × 4

  • In 2 × 9.1 weeks: 37 × (4)²

  • In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

   P(t)=37\times (4)^{(t/9.1)}

3 0
2 years ago
Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x &lt; 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

7 0
2 years ago
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amo
noname [10]
Since we need your monthly bill we will call it the variable B for now, (Unless you have the bill, if so replace it with the variable)
Multiply 1.64 x B since the exchange rate is different than the US bill,
For example, say your bill is $100 in the U.S.
You do 1.64 x 100 = A monthly bill of $164 if you lived in Britain 
8 0
3 years ago
Read 2 more answers
A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?
yKpoI14uk [10]

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258)  =  22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

Learn more about trigonometry here :

brainly.com/question/26719838

#SPJ4

6 0
1 year ago
Please help need help bad
Shkiper50 [21]
Hello! The first thing you want to do is add 4 to both sides, which gives you: 7over9x - 4 + 4 = 24 + 4. Then Simplify: 7over9x = 28. Then you just multiply both sides by the number 9! 9 times 7over9 = 28 times 9. Simplfy again! 7xover7 = 252over7. Simply that fraction, and you get x=36. 

~I hope this helped!

I am, yours most sincerely,
Joshua A. Bunn
6 0
3 years ago
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