Verify the identity.
cos x/1+sin x = sec x - tanx
​

9514 1404 393

Answer:

  C and D

Step-by-step explanation:

Extraneous solutions arise in a couple of cases, both of which are illustrated in this list of answer choices.

1. Square roots (and other even-index radicals). The square root is defined only for positive arguments. When the radical is removed by squaring the equation, the possibility of negative arguments is introduced. Hence, there may be extraneous solutions.

Example:

  x = √(x +2)   ⇒  x² = x+2 . . . has 2 roots, one of which is extraneous

__

2. Rational function equations. Such an equation is only defined when the denominator is not zero. A method often taught for solution of these equations is "cross-multiplying"--essentially multiplying by the product of the denominators. In the case where this product is not the least common denominator, the equation will have an extra factor that can introduce an extraneous root.

__

The answer choices C and D are likely to have extraneous roots based on the above observations.

_____

Additional comment

Choice D would usually be solved by cross-multiplying. That would give the quadratic equation (x -3)² = 0, which only has solutions x=3. The denominators are zero at x=3, so these solutions are extraneous. If the right side is subtracted from the left side, the fractions can be combined to give ...

  ((x+3) -6)/((x -3)(x +3)) = 0   ⇒   1/(x+3) = 0 . . . . no solution

Answer:

Um is there more to the question?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I don't know to explain it so this is by khan academy

If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

Answer:

4

Step-by-step explanation:

four Point perspective

Answer:

one point perspective

Step-by-step explanation:

It is one point perspective because if you are thinking about birds eye view, you have to consider that they height a bird can fly is very very high. So you have to be thinking critically, it cannot be 4 point perspective nor 3 point perspective due to the fact, that that is worm eye view. Thus, the answer it leaves you with is 1 point view and 2 point perspective. Two point perspective is us, it would be like us watching a building (which isn't that high). Hence, the last answer you are left with is one point perspective.

For reference you can look at the picture:

Hope this helps! :))

Answer:

Step-by-step explanation:

Answer:

0.0051 = 0.51% probability that the thickness is less than 3.0 mm

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm.

This means that [tex]\mu = 4.8, \sigma = 0.7[/tex]

(a) Probability that the the thickness is less than 3.0 mm

pvalue of Z when X = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 4.8}{0.7}[/tex]

[tex]Z = -2.57[/tex]

[tex]Z = -2.57[/tex] has a pvalue of 0.0051

0.0051 = 0.51% probability that the thickness is less than 3.0 mm

Answer:

Step-by-step explanation:

Given,

Base of the parallelogram = 11 yd

Height of the parallelogram = 6 yd

Therefore,

Area of the parallelogram = base × height

= 11 yd × 6 yd

[tex] = 66 {yd}^{2} [/tex]

Hence,

Area of the parallelogram is 66 sq. yd

5% of 40,000 is 2,000

Answer:

It helps families who or who do not have the resources and helps them with money issues

Step-by-step explanation:

hope it helps

a. 88%

b. 80%

Step-by-step explanation:

198/225=.88

180/225=.80

Answer:

18

Step-by-step explanation:

Using PEMDAS, first you do the parenthesis which the value would be 9. Then you divide: 9/ 3= 3. Lastly,  you add 7+3+8=18.

The product will be 18.

Hope this helps! :)

Answer: A

Step-by-step explanation: Because you multiple 5m by 1/12?

If the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

i.e. Slope  [tex]m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}[/tex]

We have,

The ramp has a slope of  [tex]\frac{1}{12}[/tex],

Horizontal length of [tex]5m[/tex]

Height of ramp [tex]=x[/tex]

So,

Slope [tex]=\frac{H}{L} = \frac{1}{12}[/tex]

        [tex]\frac{H}{5} =\frac{1}{12}[/tex]

      [tex]H=\frac{5}{12}[/tex]

       [tex]H=0.4 \ m[/tex]

So, the Height of the ramp is [tex]0.4 \ m[/tex] .

Hence, we can say that if the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

To know more about slope click here

https://brainly.com/question/1905613

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Answer:

A. 300in^2

Step-by-step explanation:

Area=LWH

15*10*2=300

Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

option a. SAS

......................

Answer:

150.80 sq ft

Step-by-step explanation:

Area of a cylinder = area of circle x length

r = 8/2 = 4

[tex]4^{2}[/tex]π x 3 = 48π = 150.7964474

Answer:

37.68ft³

Step-by-step explanation:

So the formula for the volume of a cylinder is base x height our height is 3 but we have to find the area of the base:

the formula is: radius² x 3.14 (pi)

so we find the radius by dividing the diameter by 2: 8 ÷ 2 = 4

4 x 3.14 = 12.56

So the area of the base is 12.56ft²

now we plug that into our equation:

12.56 x 3 = 37.68

So the volume of the cylinder is 37.68ft³

hope this helps:)

Answer:

B is the answer

Step-by-step explanation:

Im the best

Answer:

92.091

Step-by-step explanation:

81+10=91

.296

+

.795

_____

1.091

So: 91+1.095=92.091

Answer:

P(for) = 5/8

P(against) = 3/10

P(undecided)= 3/40

Step-by-step explanation: Again, find the total number of people Devi surveyed.

40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.

Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.

Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.

Answer:

2

Step-by-step explanation:

Answer:

try b

Step-by-step explanation:

Answer:

(2/3)r=30

r=45cm

Step-by-step explanation:

When trying to find a fraction of something, multiply to get your answer:

(2/3) of r = (2/3)r

The blue ribbon can be represented by both 30cm and (2/3)r cm:

(2/3)r=30

2r=90

r=45cm

Answer:

Area of sector bounded by angle = 100.37 ft² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 12 feet

Arc angle θ = 80°

Find:

Area of sector bounded by angle

Computation:

Area of sector bounded by angle = [θ/360][πr²]

Area of sector bounded by angle = [80/360][(3.14)(12)²]

Area of sector bounded by angle =[0.22][(3.14)(144)]

Area of sector bounded by angle = [0.22][452.16]

Area of sector bounded by angle = 100.37 ft² (Approx.)

Answer: The answer is 4 pieces of chalk

Answer:

7 chalks

Step-by-step explanation:

7 crosses are above numbers that are higher than 5

Answer:

0

Step-by-step explanation:

If A is an event that will never happen, then P(A)=​0