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Fudgin [204]
2 years ago
8

Please Help!! much appreciated! :D Find the value of y.

Mathematics
1 answer:
Ksivusya [100]2 years ago
8 0

In the largest triangle, the missing side has length

√((11 + 5)² - <em>x</em> ²) = √(256 - <em>x</em> ²)

But it's also the hypotenuse of the triangle with side lengths 11 and <em>y</em>, so that its length can also be written as

√(11² + <em>y</em> ²) = √(121 + <em>y</em> ²)

so that

√(256 - <em>x</em> ²) = √(121 + <em>y</em> ²)

or, by taking the squares of both sides,

256 - <em>x</em> ² = 121 + <em>y</em> ²

<em>y</em> ² = 135 - <em>x</em> ²

In the smallest triangle, you have

5² + <em>y</em> ² = <em>x</em> ²   ==>   <em>x</em> ² = 25 + <em>y</em> ²

Substitute this into the previous equation and solve for <em>y</em> :

<em>y</em> ² = 135 - (25 + <em>y</em> ²)

<em>y</em> ² = 110 - <em>y</em> ²

2<em>y</em> ² = 110

<em>y</em> ² = 55

<em>y</em> = √55

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Sergeu [11.5K]
Your answer should be 0.3000
5 0
3 years ago
Read 2 more answers
Twice a year, for all four years of college, you used your credit card to pay for books and supplies, which amounts to $516 a se
mixer [17]

Answer:

$11,728

Step-by-step explanation:

Twice a year, for 4 years is 8 times

516×8 = 4128

Yearly for 4 years is 4 times

700×4 = 2800

Every month for 4 years is 48 times

100×48 = 4800

Minimum expenditure:

4128 + 2800 + 4800 = $11,728

4 0
3 years ago
4(x + 3) = 6-x what is the answer I need help please
Amanda [17]
4(x + 3) = 6 - x

First, expand to remove parentheses.
4x + 12 = 6 - x
Second, subtract '6' from both sides.
4x + 12 - 6 = -x
Third, subtract '12 - 6' to get 6.
4x + 6 = -x
Fourth, subtract '4x' from both sides.
6 = -x - 4x
Fifth, since 'x' can be referred to as '1', add it to '4x' to get '-5x'.
6 = -5x
Sixth, divide both sides by '-5'.
\frac{6}{-5} =x
Seventh, change the whole fraction into a negative.
-\frac{6}{5} =x
Eighth, switch your sides.
x =  -\frac{6}{5}

Answer as fraction: -\frac{6}{5}
Answer as decimal: -1.2

4 0
3 years ago
A simple random sample of size n=14 is obtained from a population with μ=64 and σ=19.
madam [21]

Answer:

a) A. The population must be normally distributed

b) P(X < 68.2) = 0.7967

c) P(X  ≥  65.6) = 0.3745

Step-by-step explanation:

a) The population is normally distributed having a mean (\mu_x) = 64  and a standard deviation (\sigma_x) = \frac{19}{\sqrt{14} }

b) P(X < 68.2)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x} but μ=64 and σ=19 and n=14,  \mu_x=\mu=64 and \sigma_x=\frac{ \sigma}{\sqrt{n} }=\frac{19}{\sqrt{14} }

Therefore: z=\frac{68.2-64}{\frac{19}{\sqrt{14} } }=0.83

From z table, P(X < 68.2) = P(z < 0.83) = 0.7967

P(X < 68.2) = 0.7967

c) P(X  ≥  65.6)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x}

Therefore: z=\frac{65.6-64}{\frac{19}{\sqrt{14} } }=0.32

From z table,  P(X  ≥  65.6) =  P(z  ≥  0.32) = 1 -  P(z  <  0.32) = 1 - 0.6255 = 0.3745

P(X  ≥  65.6) = 0.3745

P(X < 68.2) = 0.7967

5 0
3 years ago
What is the future amount of 12,000 invested for 5 years at 14% compounded monthly?
Triss [41]

The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest.

<h3 /><h3>what is compound interest?</h3>

To begin, change R from a percentage to a decimal, using the formula:

r = R/100 r = 14/100

r = 0.14 rate per year;

Next, find A by solving

A = P(1 + r/n)nt A = 12,000.00(1 + 0.14/12)(12). (5)

A = 12,000.00(1 + 0.011666666666667)(60) (60)

A = $24,067.32

Summary: The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.

The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest. You will then be left with the loan balance plus compound interest.

To learn more about interest refer to:

brainly.com/question/2294792

#SPJ13

8 0
1 year ago
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