Select the correct measures for x and y.

*Will mark brainliest if correct*

Step-by-step explanation:

(A U B) = {1,2, 4, 6, 7}

(A U B)'= U- (A U B) = { 3,5}<------- Answer

Answer:

π and f. 125

Step-by-step explanation:

for the circle its π or 3.1415926535....

for the triangle its f. 125

Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]

Cancel:

[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]

Let 1/cosθ = secθ:

[tex]\sec^2\theta -1=\tan^2\theta[/tex]

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

[tex]\tan^2\theta =\tan^2\theta[/tex]

Problem B)

We have:

[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]

Factor out a sine:

[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]

Distribute:

[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]

Problem C)

We have:

[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]

Cancel:

[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]

By definition:

[tex]\cot x = \cot x[/tex]

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

Answer:

x = 3

[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]

Step-by-step explanation:

3x² - 5x - 12 = 0

Method 1: Factoring

3x² + 4x - 9x - 12 = 0

(3x² + 4x) + (- 9x - 12) = 0

x(3x + 4) - 3(3x + 4) = 0

(x - 3)(3x + 4) = 0

Two separate equations

x - 3 = 0

3x + 4 = 0

x - 3 = 0

x - 3 + 3 = 0 + 3

3x + 4 = 0

3x + 4 - 4 = 0 - 4

3x = - 4

[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]

[tex]x=-1\frac{1}{3}[/tex]

Method 2: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]

3x² - 5x - 12 = 0

a = 3

b = - 5

c = - 12

[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±13}{2(3)}[/tex]

[tex]x=\frac{5±13}{6}[/tex]

Two separate equations

One must have a + (positive) and the other will have a - (negative).

[tex]x=\frac{5+13}{6}[/tex]

[tex]x=\frac{18}{6}[/tex]

x = 18 ÷ 6

x = 3

[tex]x=\frac{5-13}{6}[/tex]

[tex]x=\frac{-8}{6}[/tex]

x = - 8 ÷ 6

[tex]x=-1\frac{1}{3}[/tex]

Answer:

y = -1/4x + 6

Step-by-step explanation:

Answer:

y = -1/4x + 6

Step-by-step explanation:

Get y alone:

x + 4y = 24

-x = -x

4y = -x + 24

Divide:

4y = -x + 24

4 = 4

Distribute division:

y = -1/4x + 24/4

Reduce fractions:

y = -1/4x + 6

Answer:

6-2x+5+4x

2x+11

hope this helps

have a good day :)

Step-by-step explanation:

The only step you need to do is add like terms

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

So therefore, the answer is A

Hope this helped!

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

Answer:

72

Step-by-step explanation:

Answer:

C: .75

Step-by-step explanation:

I really just subtracted

Answer:

D

Step-by-step explanation:

Let w represent the width

Length=18+W

And width=w

So area of a Triangle equals (length times width)divided by two

Area=(18+w)(w)/2

And the area is given to us as 189

180=(18w+w^2)/2

Multiplying both sides by two yields

360=18w+w^2

The subtract 360 from both sides to get

w^2 +18w-360=0

Answer:

5/y - 10

Step-by-step explanation:

I doubt the completeness of your question, however

the answer is

5/y - 10

Answer:

0,4

Step-by-step explanation:

See image below:)

Answer:

In ΔXYZ

-------------

Answer:

[tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope of line S using line R (m)

[tex]y=-\frac{1}{4} x+3[/tex]

We can identify clearly that the slope of the line is [tex]-\frac{1}{4}[/tex], as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be [tex]-\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{4}x+b[/tex]

2) Determine the y-intercept of line S (b)

[tex]y=-\frac{1}{4}x+b[/tex]

Plug in the given point (-4,3) and solve for b

[tex]3=-\frac{1}{4}(-4)+b\\3=1+b[/tex]

Subtract 1 from both sides to isolate b

[tex]3-1=1+b-1\\2=b[/tex]

Therefore, the y-intercept is 2. Plug this back into [tex]y=-\frac{1}{4}x+b[/tex]:

[tex]y=-\frac{1}{4}x+2[/tex]

I hope this helps!

Answer:

200 boxes

Step-by-step explanation:

We can use ratios to solve

12 suits       2400 suits

------------ = ------------

1 box          x boxes

Using cross products

12x = 1*2400

12x = 2400

Divide by 12

12x/12 = 2400/12

x =200

We need 200 boxes

Answer:

200

Step-by-step explanation:

1 box = 12

Box? = 2400.

DIVIDE

Answer:

False

Step-by-step explanation:

Assuming a and b are 2 different terms,

Sqrt a + Sqrt b is not equal to Sqrt (a * b).

The only way to obtain Sqrt (a * b) is by doing the following:

Sqrt (a * b) = Sqrt (a) * Sqrt (b)

Answer:

2/3

Step-by-step explanation:

First find the slope of the line

3x+2y = 7

Subtract 3x

2y = -3x+7

Divide by 2

y = -3/2x +7/2

This is in slope intercept form  y = mx+b  where m is the slope

The slope is -3/2

A line perpendicular is the negative reciprocal

-1/(-3/2)

2/3

The slope of the perpendicular line is 2/3

Answer:

Slope of the line perpendicular to the given line = 2/3

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

That is,

      [tex]slope_{1} \times slope _ 2 = - 1\\[/tex]

Given equation of the line :

                                  3x + 2y = 7

                                          2y = - 3x + 7

                                          [tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]

[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]

Find slope of the line perpendicular to the given line:

[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]

Answer:

360000 possible codes

Step-by-step explanation:

The first digit can only be one of four things and the last digit can't be zero.

4*10*10*10*10*9=360000

Answer:

B: polynomial

Step-by-step explanation:

The sequence given is;

2, 5, 10, 17, 26, 37,...

From this sequence, the first difference between consecutive terms is respectively;

3, 5, 7, 9, 11...

We can see that the differences gotten are not constant.

Now, let's find the second difference between the consecutive first differences respectively;

2, 2, 2, 2...

This second difference is constant and thus we can say that the terms form a quadratic sequence of the form;

f(x) = an² + bx + c

Where the quadratic coefficient is two times the second difference.

Thus;

2a = 2

a = 1

And where c is the 0th term.

Thus, this is a quadratic sequence. Since quadratic functions are 2nd degree polynomials, then this is said to be a polynomial sequence.

Answer: 5x + 4y ≤ 100

Step-by-step explanation:

5x + 4y ≤ 100

It has to be ≤ 100 because the dude only has $100 and can't exceed that.

The horizontal asymptote for the graph at y = -7.

A horizontal asymptote exists as a horizontal line that exists not in the region of a graph of a function while directing it for x-values. “far” to the right and/or “far” to the left. The graph may cross it but ultimately, for big adequately or small.

By definition, when we say asymptote, this exists a line that the graph of a function comes but never connects. A horizontal asymptote exists the y-value on a graph which a function approaches but never connects. Horizontal asymptotes exist approached by the curve of a function as x proceeds towards infinity.

Therefore, the correct answer is option C. y = -7

To learn more about the graph refer to:

https://brainly.com/question/2288165

#SPJ2

Answer:

[tex]x = 70^o[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To solve for x, we make use of:

[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle

[tex]x + 110^o = 180^o[/tex]

Collect like terms

[tex]x = 180^o-110^o[/tex]

[tex]x = 70^o[/tex]

Answer: 2 1/4

Step-by-step explanation:

Step-by-step explanation:

P(red) = 12/(12+10+5+4+29)

= 12/60

= 1/5

= 0.2

= 20%

Answer:

[tex] \cos(x) = \frac{24}{30} [/tex]

OPTION C

Answer:

The probability that less than 3 road construction projects are currently taking place in this city is 0.06197

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Poisson distribution with a mean of 6.

This means that [tex]\mu = 6[/tex]

Find the probability that less than 3 road construction projects are currently taking place in this city.

This is:

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]

[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]

[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]

The probability that less than 3 road construction projects are currently taking place in this city is 0.06197