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zzz [600]
2 years ago
13

Tim and Sasha are making a model sailboat. They want the sail to be in the shape of a right triangle. If the legs of the sail me

asure 8 and 15 inches, what would be the length of the hypotenuse?
Mathematics
2 answers:
mixer [17]2 years ago
8 0
8^2 + 15^2 = 289
square root of 289 = 17
hypotenuse = 17 inches
trasher [3.6K]2 years ago
7 0
Around 16 squared is the answer
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Find the determinant of the matrix.
Natalka [10]

Answer:

0

Step-by-step explanation:

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc

0(4)-4(0) = 0

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2 years ago
Question 7 of 10
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g(x) = –3(x + 6)2 + 48.

Step-by-step explanation:

The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.

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3 years ago
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

9400(0.857)^t < 6000

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

A(t) = A(0)(1 - r)^t

A(t) = 9400(1 - 0.143)^t

A(t) = 9400(0.857)^t

The tax status will change when:

A(t) < 6000

Hence the inequality is:

9400(0.857)^t < 6000

Then:

(0.857)^t < \frac{6000}{9400}

\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}

t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}

Since both logs are negative:

t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0
2 years ago
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