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3 years ago

5

Given that ΔABC is similar to ΔDEF, which is a possible trigonometric ratio for ∠D? A) tan D = 24 30 B) tan D = 30 24 C) tan D =

18 24 D) tan D = 24 18

2 answers:

Olenka [21]3 years ago

8 0

Answer:

<u><em>C). 32/24</em></u>

Step-by-step explanation:

tan D =

32

24

Trigonometric ratios (sine, cosine, and tangent) stay constant in similar triangles.

tan =

opp

adj

and

4

3

=

32

24

Elanso [62]3 years ago

4 0

Answer:

D 24/18

Step-by-step explanation:

I guessed while on usa TESTPREP SO ENJOY

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3 years ago

Simplify (7+5)^2 divided by 4 x 3 + 9

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4 years ago

Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

$Total = 11 + 16 + 14 + 20 + 12 + 17$

$Total = 90$

<u>(a): Relative frequency of 4 is 2/9</u>

Relative frequency is calculated by:

$RF= \frac{Observed\ Frequency}{Total}$

For roll 4

$Observed\ frequency = 20$

So, the relative frequency is:

$RF = \frac{20}{90}$

Simplify

$RF = \frac{2}{9}$

<em>(a) is true</em>

<u>(b): Experimental probability of 3 greater than its theoretical probability</u>

The experimental probability is its relative frequency;

For roll 3

$Observed\ frequency = 14$

The experimental probability is:

$Pr = \frac{14}{90}$

Simplify

$Pr = \frac{7}{45} = 0.156$

To calculate the theoretical probability, w have:

$S = \{1,2,3,4,5,6\}$ ---- sample space

$n(S)= 6$

$n(3) = 1$ --- number of times 3 occur

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The theoretical probability is $greater\ than\ the$ experimental probability.

<em>(b) is false</em>

<u>(c): Experimental probability of 2 greater than its theoretical probability</u>

Using the explanations in (b), we have:

For roll 2

$Observed\ frequency = 16$

The experimental probability is:

$Pr = \frac{16}{90}$

Simplify

$Pr = \frac{8}{45} = 0.178$

To calculate the theoretical probability, we have:

$n(S)= 6$

$n(2) = 1$

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The experimental probability is $greater\ than\ the$ theoretical probability.

<em>(c) is true</em>

<u>(d): Relative frequency of 5 is 2/13</u>

For roll 5

$Observed\ frequency = 12$

The relative frequency is:

$RF = \frac{12}{90}$

Simplify

$RF = \frac{2}{15}$

<em>(d) is true</em>

7 0

3 years ago