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Nimfa-mama [501]

3 years ago

9

if 1 cm on a map corresponds to an actual distance of 25km, and the distance on the map between Town A and Town B is 26cm, what

is the actual distance between them

1 answer:

lyudmila [28]3 years ago

4 0

Answer:

puvhona why dustach kkih mucha huge hahubnwki kook0k

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Which of the following is an example of why writing skills are important in the workplace?

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Answer is C

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Find the reference angle given: t= -5π/3.

Elina [12.6K]

Answer:

The reference angle is $\frac{\pi}{3}$

Step-by-step explanation:

The given angle is $t=-\frac{5\pi}{3}$

The reference angle is the acute angle, that a given angle makes with the x-axis.

First let us make a sketch of the given angle. <em>See diagram in attachment.</em>

Let $\theta$ be the reference angle of $t=-\frac{5\pi}{3}$

Then, from the diagram, we need to subtract $\theta$ from $-\frac{5\pi}{3}$ to get to $-2\pi$ .

We can therefore write the following equation and solve for $\theta$ .

$\Rightarrow -\frac{5\pi}{3}-\theta=-2\pi$

We group like terms to get,

$\Rightarrow -\theta=-2\pi +\frac{5\pi}{3}$

We collect LCM to get,

$\Rightarrow -\theta=\frac{-6\pi+5\pi}{3}$

We simplify to get,

$\Rightarrow -\theta=-\frac{\pi}{3}$

We divide through by $-1$

$\theta=\frac{\pi}{3}$ to get,

The correct answer is D.

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3 years ago

Given the following information, find the probability that a randomly selected student will be short or very short. Number of st

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How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?

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There are 6 digits. Each digit can take ten different numbers except for the first digit since it cannot be zero.

So:

9 x 10 x 10 x 10 x 10 x 10

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3 years ago

5. A map is drawn to a scale of 3:750.

Ainat [17]

Answer:

23.1m

Step-by-step explanation:

we define x to be the actual distance, y to be the distance on map (y=15.4cm)

if the map scale is 3:750, then by definition of scaling, x and y must satisfy:

$\frac{y}{x} = \frac{3}{750} = \frac{1}{150}$

we isolate x:

$x = 150 \times y = 150 \times 15.4 = 2310cm = 23.1m$

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2 years ago