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Liula [17]
3 years ago
10

A car travels at an average speed of 48 miles per hour. how long does it take to travel 204 miles?

Mathematics
1 answer:
Strike441 [17]3 years ago
7 0
A car travels at an average speed of 48 miles per hour. how long does it take to travel 204 miles?It takes it 4.25 hours

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An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to
iris [78.8K]

Answer: BC=14.8

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

sin\alpha =\frac{opposite}{hypotenuse}

In this case, you can identify that:

\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24

Substituting values, and solving for "x", you get:

sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416

Therefore, the length of BC rounded to nearest tenth, is:

BC=2(7.416)=14.8

6 0
2 years ago
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 . A dotplot s
Ilya [14]

Answer:

The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

Step-by-step explanation:

Consider the provided information.

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .

Thus, n = 12, \bar x=36800 σ = 5000

degrees of freedom = n-1 = 12-1 = 11

H_0: \mu = 33700\ and\ H_a: \mu \neq 33700

Formula to find the value of z is: z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

Where \bar x is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.

z=\frac{36800-33700}{\frac{5000}{\sqrt{12}}}

z=2.148

Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

6 0
3 years ago
Find the difference between 9,000 and 8,745.
dybincka [34]

Answer: 255

Step-by-step explanation: All you do is subtract 8,745 from 9000.

8 0
3 years ago
How can we get rid of i in the denominator?
Sloan [31]

Answer:

When you have an imaginary number in the denominator multiply the numerator and the denominator by the conjugate of the denominator.

8 0
3 years ago
Solve the smetaneous equatan graphically x-2y=1 2x-y=2 given the range of x from-3 to 3 choose a suitable scale​
DedPeter [7]

Answer:

  • (2, 0)

Step-by-step explanation:

<u>Given system:</u>

  • x - 2y = 1
  • 2x - y = 2

In order to solve it graphically, graph both lines and find the point of their intersection.

Graphing easy if you plot the x- and y- intercepts and connect them with a line.

<em>See attached.</em>

Both lines have same x-intercept, which is also the solution: (2, 0)

8 0
2 years ago
Read 2 more answers
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