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saveliy_v [14]
3 years ago
15

Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x co

ordinate of each coin, xA, xB, and xC.
Mathematics
1 answer:
shepuryov [24]3 years ago
5 0
<span>The line of symmetry of the triangle bisects the right angle and the diagonal of the square.
The line is 1/2 the length of the square's diagonal :

(1/2)(10√2) = 5√2. 

</span>Let CG be a distance x from the vertex of the right angle in the triangle.
Remaining distance = 5√2 - x. 
<span>
(1)(x) = (2)(5√2 - x)</span>
x = 10√2 - 2x
<span>3x = 10√2 </span>
<span>x = (10/3)√2. 
</span>
Using Pythagorean theorem,
x^2 + y^2 = c^2
 
<span>c = (10/3)√2,
and x = y,
so 2x^2 = 200/9
x = √(100/9) = 10/3 = y. 
</span>
<span>x = y = 3.333</span>
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tax on the original price of a bicycle is charged at 20% of the original price. After tax has been included, Mathew pays $1080 f
kicyunya [14]

Answer:

Original price of bicycle = $864

Step-by-step explanation:

Given:

Rate of tax = 20%

Price pay by Mathew = $1,080

Find:

Original price of bicycle

Computation:

Original price of bicycle = Price pay by Mathew[1 / (1-20%)]

Original price of bicycle = 1,080[1 / (1-20%)]

Original price of bicycle = 1,080[1 / (1-0.2)]

Original price of bicycle = 1,080[1 / (0.8)]

Original price of bicycle = 1,080[1.25]

Original price of bicycle = 1,080[1.25]

Original price of bicycle = $864

6 0
2 years ago
Evaluate the expression 2m + n for m = 17 and n = 8.
iragen [17]

Answer - 42

Expression Evaluated - 2 Times 17 Plus 8

We take the M and the N and substitute 17 for M and 8 for N, then we solve the problem.

Best Of Luck,

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4 0
3 years ago
Engineers want to design passenger seats in commercial aircraft so that they are wide enough to fit 95 percent of adult men. Ass
zimovet [89]

Answer:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

Step-by-step explanation:

Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:

X \sim N(14.4,1.1)  

Where \mu=14.4 and \sigma=1.1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64

Using this value we can set up the following equation:

P(X  

P(z

And we have:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

8 0
2 years ago
What is the value of x?
solniwko [45]

Answer:

x = 7.5

Step-by-step explanation:

Since we see that sides AD and DC are equal, as well as sides BE and EC, we can use this information to conclude that the value of 2x-7 is equal to double the value of DE.

2x - 7 = 4(2)

2x - 7 = 8

2x - 7 + 7 = 8 + 7

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x = 7.5

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Answer:

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