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3 years ago

14

What is the best way to remember the 6 trigonometric ratios?

2 answers:

Nady [450]3 years ago

8 0

Answer:

SOHCAHTOA

Step-by-step explanation:

Usually, in American schools, the term "SOHCAHTOA" is used to remember them. "SOH" is sine opposite hypotenuse, "CAH" is cosine adjacent hypotenuse, and "TOA" is tangent opposite adjacent. There is also Csc which is hypotenuse/opposite, Sec which is hypotenuse/adjacent, and Cot is adjacent/opposite.

Minchanka [31]3 years ago

7 0

Answer: SOHCAHTOA

Step-by-step explanation:

The pneumonic I learned is SOH-CAH-TOA. it says that Sin = opposite/hypotenuse. Cos = adjacent/hypotenuse. Tan = opposite/adjacent.

Hope it helps <3

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musickatia [10]

Answer:

b

Step-by-step explanation:

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2 years ago

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fiasKO [112]

Answer:

x=7

Step-by-step explanation:

To set up for this answer, we need to set it up as an equation: 2x+12=5x-9.

get the xs on one side and the whole numbers on the other.

that leaves you with 21=3x.

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2 years ago

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(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop

zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

$\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})$

Compute the sample sizes as follows:

$MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}$

$n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}$

$=\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787$

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

$\hat p_{1}=0.45\\\hat p_{2}=0.58$

Compute the sample size as follows:

$MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}$

$n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}$

$=\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666$

Thus, the sample sizes are 6666.

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2 years ago

A book had a length of 5 inches and a width of 8 inches. What is the perimeter of the book

andreev551 [17]

26 inches hope this helps

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3 years ago

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Franklin Construction Company build a sidewalk around two sides of a new library, as shown in the figure. what is the area of th

PtichkaEL [24]

Answer:

$630.36\ ft^2$

Step-by-step explanation:

we know that

To find out the area of the sidewalk, multiply the length by the width of the sidewalk

The width of the sidewalk is equal to

$113.4\ ft-110\ ft=3.4\ ft$

or

$75.4\ ft-72\ ft=3.4\ ft$

The area is equal to

$113.4(3.4)+72(3.4)\\385.56+244.8\\630.36\ ft^2$

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2 years ago