cross section, the ratio of the area of the circle to 4 square, the volume of the cylinder equ ea of the square is ap? or 4 2. Cross section 2 o the volume of the prism or (a I the volume of the prism or (4 O I the volume of the prism or 12 o the volume of the prism or (4 h

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9514 1404 393

Answer:

  x = 24

Step-by-step explanation:

The two angles are complementary, so their sum is 90°.

  x° +(3x -6)° = 90°

  4x = 96 . . . . . . . . . . . . divide by °, add 6

  x = 24 . . . . . . . . . . . . . divide by 4

Answer:

I don’t know

Step-by-step explanation:

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:

y > (1/2)x + 2

Step-by-step explanation:

The line rises 1 in y for each run of 2 in x

slope = rise/run

slope = 1/2

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

The y-intercept is 2

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

The graph is shaded above the dashed line

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

Therefor

y > (1/2)x + 2

Answer:

y>1/2x+2

Step-by-step explanation:

The answer is y>1/2x+2. The shaded red part is the graph of y>1/2x+2. Because the slope is 1/2 and the y-intercept is 2, this is the correct answer.

If this helps please mark as brainliest

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:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation [tex]y=2x+5[/tex], the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of [tex]\frac{3}{1}[/tex] (which is the same as 3) is [tex]-\frac{1}{3}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, the negative reciprocal of 2, or [tex]\frac{2}{1}[/tex], is [tex]-\frac{1}{2}[/tex]. Therefore, the slope of a line perpendicular to the line [tex]y=2x+5[/tex] is [tex]-\frac{1}{2}[/tex].

I hope this helps!

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:

This question would be answered by doing devision because you are splitting  the amount of cookies that should be delivered amongst 13 girls.

1,000/13

76.92307692

That is what came out in my calculator. I don't know if you need it in decimal or in a solid integer but if you were to round 76.9 you would get 77, it is always good to check your work so,

77 times 13

1001

That equals 1001 so that would help at least reach their goal of 1,000 boxes of cookies.

Step-by-step explanation:

I really hope this helps!

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:

a) The ball reaches it's maximum height after 3 seconds.

b) The maximum height of the ball is of 151 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

The height of the ball is modeled by:

[tex]h(t) = -16t^2 + 96t + 7[/tex]

So a quadratic equation with [tex]a = -16, b = 96, c = 7[/tex]

a) After how many seconds will the ball reach its maximum height?

t-value of the vertex. So

[tex]t_{v} = -\frac{96}{2(-16)} = 3[/tex]

The ball reaches it's maximum height after 3 seconds.

b) What is that maximum height?

h of the vertex.

[tex]\Delta = b^2 - 4ac = (96)^2 - 4(-16)(7) = 9664[/tex]

[tex]h_{v} = -\frac{9664}{4(-16)} = 604[/tex]

The maximum height of the ball is of 151 feet.

Answer:

Step-by-step explanation:

[tex]{{correct me if i am wrong}}}[/tex]

Answer:

You don't have your options listed but if one of them is Point L is the midpoint of the segment, that would be your answer.

Step-by-step explanation:

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:

I'm pretty sure it is suppsoed to be 4800.

Step-by-step explanation:

Answer:

4n - 3

Step-by-step explanation:

let n  = random number

break the words down

4 times a number is 4n

three less means subtracting 3

so the final expression is 4n - 3

Answer:

y= -1/3(x) + 8

Step-by-step explanation:

slope of the 1st line = 3

slope of the line perpendicular to the first is its opposite reciprocal, so

slope of the 2nd line = -1/3

now we have a point and the slope of the perpendicular line, so we use the point slope formula to get:

y-7=-1/3(x-3)

y= -1/3(x) + 1 + 7

y= -1/3(x) + 8

Answer:

A 5.5% = 5400 B 5% = 1800

Step-by-step explanation:

A + B = 7200

A * 0.055 + B * 0.05 = $387

A = 7200 - B

(7200 - B)*0.055 + B*0.05 = 387

396 - 0.055B + 0.05B = 387

396 - 0.005B = 387

0.005B = 9

B = 1800

A = 7200 - B = 7200 - 1800

A = 5400

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