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3 years ago

13

Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart aft

er 30 minutes?

1 answer:

Naya [18.7K]3 years ago

7 0

Answer:

1they are 15 kilometers apart

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harry got 42 and 49 correct on his test what fraction of the marks did he get wrong give your answer in it simplest form

Nuetrik [128]

Answer:

1/7

Step-by-step explanation:

49-42= 7

7/49 can be simplified by dividing by 7

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2 years ago

What are the properties of an obtuse triangle

coldgirl [10]

<span>An obtuse triangle will have one and only one obtuse angle. </span>

<span>The other two angles are acute angles.</span>

<span>The sum of the two angles other than the obtuse angle is less than 90º.<span /></span>

<span><span>The side opposite to the obtuse angle is the longest side of the triangle.</span></span>

<span><span>
</span><span>The points of concurrency, the Circumcenter and the Orthocenter lie outside of an obtuse triangle, while Centroid and Incenter lie inside the triangle.
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3 years ago

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)

In-s [12.5K]

Answer:

The sequence diverges.

Step-by-step explanation:

A sequence $a_{n}$ converges when $\lim_{n \rightarrow \infty} a_{n}$ is a real number.

In this question, the sequence given is:

$a_{n} = 4n\cos{(7n\pi)}$

The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: $a_{n} = 4n$ . So

$\lim_{n \rightarrow \infty} a_{n} = \lim_{n \rightarrow \infty} 4n = \infty$

Since the limit is not a real number, the sequence diverges.

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2 years ago

What is the simple way of solving quadratic equation

aleksandrvk [35]

quadratic equations can be soled by 3 methods

factorization

completing square

quadratic formula

but factorization is the simplest

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2 years ago

Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Tpy6a [65]

ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

$A=3$
The amplitude is absolute value of A

$|A| = |3| = 3$

$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

$C=4$

is a shift to the right of 4 units.

and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

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3 years ago