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3 years ago

Find the indicated side of the triangle. 17 45° a = [?][ ]

Mathematics

2 answers:

mihalych1998 [28]3 years ago

7 0

A = 17 square 2 trust me

Strike441 [17]3 years ago

3 0

A= 17 sqrt 2

because of the fact you’re filling the answer out, the 17 would go in front and 2 would be in the square root

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Growth Models 19515. In 1968, the U.S. minimum wage was $1.60 per hour. In 1976, the minimum wagewas $2.30 per hour. Assume the

VikaD [51]

In general, the exponential growth function is given by the formula below

$f(x)=a(1+r)^x$

Where a and r are constants, and x is the number of time intervals.

In our case, n=0 for 1960; therefore, 1968 is n=8,

$\begin{gathered} f(8)=a(1+r)^8 \\ \text{and} \\ f(8)=1.6 \\ \Rightarrow1.6=a(1+r)^8 \end{gathered}$

And 1976 is n=16

$\begin{gathered} f(16)=a(1+r)^{16} \\ \text{and} \\ f(16)=2.3 \\ \Rightarrow2.3=a(1+r)^{16} \end{gathered}$

Solve the two equations simultaneously, as shown below

$\begin{gathered} \frac{1.6}{(1+r)^8}=a \\ \Rightarrow2.3=\frac{1.6}{(1+r)^8}(1+r)^{16} \\ \Rightarrow2.3=1.6(1+r)^8 \\ \Rightarrow\frac{2.3}{1.6}=(1+r)^8 \\ \Rightarrow(\frac{2.3}{1.6})^{\frac{1}{8}}=(1+r)^{}^{} \\ \Rightarrow r=(\frac{2.3}{1.6})^{\frac{1}{8}}-1 \\ \Rightarrow r=0.0464078 \end{gathered}$

Solving for a,

$\begin{gathered} r=0.0464078 \\ \Rightarrow a=\frac{1.6}{(1+0.0464078)^8}=1.113043\ldots \end{gathered}$

a) Thus, the equation is

$\Rightarrow f(n)=1.113043\ldots(1+0.0464078\ldots)^n$

b) 1960 is n=0; thus,

$f(0)=1.113043\ldots(1+0.0464078\ldots)^0=1.113043\ldots$

The answer to part b) is $1.113043... per hour

c)1996 is n=36

$\begin{gathered} f(36)=1.113043\ldots(1+0.0464078\ldots)^{36} \\ \Rightarrow f(36)=5.6983\ldots \end{gathered}$

The model prediction is above $5.15 by $0.55 approximately. The answer is 'below'

4 0

1 year ago

Leo has had test scores of 85, 92 and 87. He has one test left. What test score t must he to average at least a 90 for his four

LenKa [72]

96

The mean of 85+92+87+96=90

5 0

3 years ago

Satellites KA-1212 and SAL-11 have spotted a UFO. Scientists want to determine its distance from KA-1212 so they can later deter

ch4aika [34]

Answer:

The distance of UFO from KA-1212 is 1229.7 km.

Step-by-step explanation:

We are given that,

Distance between the satellites = 900 km

Angle made by the satellite KA-1212 = 60°

Angle made by the satellite SAL-11 = 75°

So, from the figure below,

The third angle is given by = 180° - (60°+75°) = 180° - 135° = 45°

Then, using the law of sines, we have,

$\dfrac{x}{\sin 75}=\dfrac{900}{\sin 45}\\\\x=\dfrac{900\times \sin 75}{\sin 45}\\\\x=\dfrac{900\times 0.966}{0.707}\\\\x=\dfrac{869.4}{0.707}\\\\x=1229.7$

<h3>Thus, the distance of UFO from KA-1212 is 1229.7 km.</h3>

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to ?

kozerog [31]

Answer:

I think the answer would therefore be F.

7 0

3 years ago

Do these ratios form a proportion?

telo118 [61]

Answer:

No, because both of them will never be able to match; become equivalent. You would have to multiply 2 different numbers to make them match, meaning they would not be proportional. For a comparison to be proportional, the ratio you are trying to simplify to must be achieved by multiplying 2 numbers from the previous ratio by one LCD.

$\frac{3\cdot 4}{7 \cdot 3} = \frac{12}{21}$

They are<em> able</em> to make 12/21, but that does not mean they are proportional.

6 0

2 years ago