MATHEMATICS COLLEGE

Using the figure below, what is the trigonometric ratio of cos C?

Answers

Answer 1

Answer:

Answer:

8/9 (choice b)

Step-by-step explanation:

The trigonometric ratios are based on the ratios of different sides.

If you remember SOH CAH TOA =

sine (sin) opposite hypotenuse

cosine (cos) adjacent hypotenuse

tangent (tan) opposite adjacent

__________________________

This is a nuemonic for these ratios.

the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.

So cos C = adjacent side / hypotenuse side.

Since 18 is greater than 16 and 9, 18 is the hypotenuse.

the adjacent side is the side other than the opposite side and the hypotenuse which is 16

therefore cos C = 16 / 18 = 8 / 9.

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Charlie is 4 feet 11 inches tall. If there are 2.54 centimeters in 1 inch, what is Charlie’s height in centimeters?

Answers

Answer:

149.86 cm

Step-by-step explanation:

Find the surface area and volume of a rectangular solid with length 10, width 7, height 12surface area______square inches
volume_____cubic inches

Answers

Answer:

Surface area is =548

Volume = 840 in³

Step-by-step explanation:

l × w, l × w, w × h, w × h, l × h, l × h

70 + 70 + 84 + 84 + 120 + 120 = 548

l × w × h = 840

Patients come into a medical clinic have a mean weight of 207.6 pounds with a standard deviation of 22.6 pounds. the distribution of weight is not assumed to be symmetric. between what two ways does Chebyshev's Theorem guarantee that we will find at least 95% of the patients? Round your answers to the nearest 10th

Answers

I know the answer it is 98.2

Answer: 105.9 lbs and 309.3 lbs

Step-by-step explanation:

By Chebyshev's Theorem, the proportion of patients with weights within 4.5 standard deviations of the mean is at least 95%. Therefore k=4.5.

The weight that is 4.5 standard deviations less than the mean is 207.6−4.5(22.6)=105.9 pounds.

The weight that is 4.5 standard deviations greater than the mean is 207.6+4.5(22.6)=309.3 pounds.

So at least 95% of the patients have weights between 105.9 and 309.3 pounds.

Ind the slope m of the tangent to the curve y = 9 + 4x2 − 2x3 at the point where x =a. m = 8a−6a2 (b) find equations of the tangent lines at the points (1, 11) and (2, 9). y(x) = 2x+11 (at the point (1, 11)) y(x) = (at the point (2, 9))

Answers

This is about slope of tangents via derivatives.

A) m = 8a- 6a²

B) At (1, 11), equation of tangent is y = 2x + 9

At (2, 9), equation of tangent is y = 2x + 4

The slope of a tangent to a curve is simply gotten by finding the first derivative of the function representing that curve.

We are given the function; y = 9 + 4x² - 2x³

The slope will be;

m = y' = 8x - 6x²

A) At x = a; To find the slope we will just put a for x in the slope function;

Slope; m = 8a- 6a²

B) Slope is 8x - 6x²

At the point (1, 11);

Slope = 8(1) - 6(1²) = 2

Thus, equation of tangent line is; y - 11 = 2(x - 1)

⇒ y - 11 = 2x - 2

⇒ y = 2x - 2 + 11

⇒ y = 2x + 9

At the point (2, 9);

Slope = 8(2) - 6(2²) = -8

Thus, equation of tangent line is; y - 8 = 2(x - 2)

⇒ y - 8 = 2x - 4

⇒ y = 2x - 4 + 8

⇒ y = 2x + 4

Read more at; brainly.com/question/18476507

Find the derivative:-
y' = 8x - 6x^2
This is the slope in terms of x.
When x = a , the slope is
8a - 6a^2

(b) equation of tangent line at x1,y1
is y- y1 = (8x - 6x^2)( x - x1) , so at (1,11) it is
y - 11 = (8(1) - 6((1)^2) ) (x - 1)
y = 2(x - 1) + 11
y = 2x + 9 (answer)

At (2,9)
y - 9 = (16-24)(x - 2)
y - 9 = -8x + 16
y = -8x + 25 answer

What’s the correct answer for this?

Answers

Answer:

If I had to guess

Step-by-step explanation:

I would say 11 degree or 90 degree.

Sorry if I am wrong. :_;

Answer:90 degrees

Step-by-step explanation:

. Roger uses his truck to plow parking lots when it snows. He wants to find a model to predict the number of service calls he can expect to receive based on how much snow falls during a storm. Snow Plow Service Based on the collected data shown in the scatterplot, he uses the linear model . According to this model, c(s)=0.8s+0.29about how many service calls will Roger have in the next snow storm if 4.7 inches of snow fall? Round to the nearest tenth if necessary

Answers

Answer:

4.1 calls

Step-by-step explanation:

The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:

$c(s)=0.8s+0.29$

Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:

$c(4.7)=0.8*4.7+0.29\nc(4.7)=4.05\ calls$

Rounding to the nearest tenth, Roger will get about 4.1 calls.

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