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Nadusha1986 [10]

3 years ago

12

a normal die is rolled calculate the probability that the number on the uppermost face when it stops rolling will be an even pri

me number

1 answer:

Shalnov [3]3 years ago

5 0

The only even numbers are 2,4,6 and the only even prime number is 2 so your answer is 1/6

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10 POINTS! Please help me on the attached file!

tester [92]

Given:
Big figure = 20 ft
Small figure = 7 ft

Take note: In finding the scale factor, we must make sure that the measurements of both figures are the same sides or line.

20 feet / 7 feet = 2.86 scale factor.

This means that the big figure is 2.86 times bigger than the small figure.

If the arrow had been pointed from the small figure to the big figure.
7 feet / 20 feet = 0.35 scale factor.

This means that the small figure is only 0.35 of the big figure.

Both are scale factors but in different perspectives.

5 0

3 years ago

How do I write the ratio of 28 inches to 5 feet as a fraction in simplest form?

stich3 [128]

Step 1. Divide denominator to numerator .

Step 2. you should have 5.4

Step 3. Keep the denominater (5) and add 5.4 as your numerator. <span />

4 0

3 years ago

A map of Connecticut is drawn to a scale where 2 inches on the map represents 35 miles. If Greenwich and Stonington are 105 mile

Harman [31]

Answer:

is it on study iland???

Step-by-step explanation:

6 0

4 years ago

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

3 years ago

Two ships leave the same port at the same time. Two hours later ship A has traveled 12 miles and ship B has traveled 8 miles.

sashaice [31]

Answer:

the angle between their paths is <em>100.8°</em>

Step-by-step explanation:

From the given information, you can construct a triangle, just like the one in the figure.

We will use the <em>Cosine Rule</em> which is:

c² = b² + a² - 2 b c cos(θ)

where

c = 16 miles
b = 8 miles
a = 12 miles

Therefore,

2 b c cos(θ) = b² + a² - c²

cos(θ) = (b² + a² - c²) / 2 b c

θ = cos⁻¹( (b² + a² - c²) / (2 b c) )

θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )

<em>θ = 100.8°</em>

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Therefore, the angle between their paths is <em>100.8°</em>

4 0

3 years ago