Given a conditional statement p → q, find the inverse of its inverse, the inverse of its converse, and the inverse of its contrapositive.

The Distributive Property shows that 6(p + q) is equivalent to 6p + 6q

The distributive property tells us how to solve expressions in the form of a(b + c).  The distributive property is sometimes called the distributive law of multiplication and division. It is given by:

a(b + c) = ab + ac

Given the expression:

6(p + q)

Using the distributive property:

= 6p + 6q

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Answer:

D. 35, 60, 85

Step-by-step explanation:

All angles of a triangle have to add up to 180 degrees.

35+60+85 = 180

You want to find t such that

45 - 7t - 6t² = 25

or

6t² + 7t = 20

Solve for t. By completing the square, we have

6t² + 7t = 20

t² + 7/6 t = 10/3

t² + 7/6 t + (7/12)² = 10/3 + (7/12)²

(t + 7/12)² = 529/144

t + 7/12 = ± 23/12

t = -7/12 ± 23/12

t = -5/2   or   t = 4/3

We ignore the negative solution, so the ball reaches a height of 25 feet at t = 4/3 seconds, or about 1.33 seconds after being thrown.

Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]

Vertex = (-1, -13)

Step-by-step explanation:

[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]

Vertex = (h, k) = (-1, -13)

Answer:

Step-by-step explanation:

trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

Answer:

[tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Step-by-step explanation:

[tex]tan^2x+7tanx+8=0,[0^{\circ},360^\circ)[/tex]

[tex]tan^2x+7tanx+8=0[/tex]

[tex]u=tanx[/tex] <-- U-substitution

[tex]u^2+7u+8=0[/tex]

[tex](u+7)(u+1)=0[/tex]

[tex](tanx+7)(tanx+1)=0[/tex] <-- Replace u with tanx

[tex]tanx+7=0[/tex]

[tex]tanx=-7[/tex]

[tex]x=98.13^\circ,278.13^\circ[/tex]

[tex]tanx+1=0[/tex]

[tex]tanx=-1[/tex]

[tex]x=135^\circ,315^\circ[/tex]

Therefore, [tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Answer:

1/1

Step-by-step explanation:

Answer:

Diagonal and horizontal lines

Step-by-step explanation:

To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.

Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.

This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.

Answer:

ur mom

Step-by-step explanation:

ur mom + 3= 69

The volume of the storage tank to the nearest hundredth is 2840.04 m³.

Given that, the conical tank has a height of 23.7 meters and a diameter of 21.4 meters.

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter.

The volume of a cone formula is 1/3 πr²h.

Put h=23.7 meters and radius = 21.4/2 = 10.7 meters in the volume of a cone formula

That is, 1/3 × 3.14 × (10.7)² × 23.7

= 2840.0389 m³

≈ 2840.04 m³

Therefore, the volume of the storage tank to the nearest hundredth is 2840.04 m³.

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Answer:

1428485748586384858858

Answer:

188.571

if you did directly answer may differ

Step-by-step explanation:

you can see it from the picture above

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".

For the given situation,

The diameter of the cylinder, d = 10 inches

The height of the cylinder, h = 12 inches

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.

So, the length of the rectangle, l = 12 inches.

The breadth of the rectangle, b = 10 inches

The formula for the area of the rectangle is A= l × b

⇒ [tex]A=12[/tex] × [tex]10[/tex]

⇒ [tex]A=120[/tex]

Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

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Answer:

Step-by-step explanation:

(y + 3) = (1/8)(x - 2)

The answers are:

5x + 3y = 41

2x + 3y = 20

           -2x - 3y = -20

Therefore, the answers are:

Hoped this helped

[tex]-BrainiacUser1357-[/tex]

Answer:

Step-by-step explanation:

It looks like you need to solve this system of equations.

That means we need to find a value for x and a value for y that makes both equations true.

Since both equations have a 3y in them, this system is ready to use a method called "elimination method"

Since the x terms are lined up, and the y terms are lined up, the equal signs are lined up, and the constants are lined up...you can subtract the bottom equation from the top equation.

5x + 3y = 41

2x + 3y = 20

Subtract and you will get

3x + 0y =21

We don't need to write that 0y, because it is 0.

3x = 21, now divide by 3

x = 7, almost finished!

Use x = 7 in either of the original equations to find y.

5x + 3y = 41 and x = 7

5•7+ 3y = 41

35 + 3y = 41

-35 -35

3y =6

y = 2

So the solution is x=7 and y=2

That can also be written as an ordered pair (7, 2)

Answer:

Step-by-step explanation.

Answer:

32. A.

Step-by-step explanation: because i did 4/5 of 40 and got 32.

Answer:

Focus on planting trees and and getting healthier soil, improve energy efficiency and not use so much pesticides using natural ways to plant things.

Step-by-step explanation:

Answer:

B. [tex]\frac{\pi }{4} Rad>30^{0}[/tex]

Step-by-step explanation:

[tex]\frac{\pi }{4} Rad=(180/4)^{0} =45^{0}[/tex]

Hope this helps

Answer:

132 in /12 in/ft + 3 yd(3ft/yd) = 11 + 9 = 20 ft

Step-by-step explanation:

Answer:

20 ft

Step-by-step explanation:

12 inches = 1 foot

12 : 1 = 132 : y

[tex]\frac{132:y}{12:1}[/tex]

12 × y = 132 × 1

12y = 132

12y ÷ 12 = 132 ÷ 12

y = 11

11 ft

1 yard = 3 feet

1 : 3 = 3 : y

[tex]\frac{1:3}{3:y}[/tex]

1 × y = 3 × 3

1y = 9

y = 9

9 ft

11 ft + 9ft = 20 ft

Answer:

1) 9

2) 34

Step-by-step explanation:

For the first one, it would be

= (6×3)/2

= 18/2

= 9

The second one is,

= 36- (12/6)

= 36 - 2

= 34

Answer:

the quantity seven minus three divided by two

Step-by-step explanation:

its math

1/27

Explanation:

You would multiply to get to the answer.                                                                                    

Answer:

Step-by-step explanation:

total of 15(36) = 540 person•hours was used

540 / 30 = 18 people

18 - 15 = 3 people need to be added

Answer:

three hours every 1 book

Step-by-step explanation:

36-12

6-2

3-1

now, we're assuming that the prism has a volume of 10³ and is filled with cubes of sides 1/2 long, Check the picture below.

now notice the bottom-right part of the picture, if we put two small cubes next to each other, they add up to 1, so to get 10 units from that, we'll need 20 of those halves, or 20/2 = 10, meaning we'll need 20 cubes side by side to make a length of 10 horizontally.

The same will be true for getting cubes to make up 10 vertically, we'll need 20, the same is true to fill up from back to front, we'll need 20 cubes.

so we can say that the rectangular prism will need 20 cubes from front to back, 20 horizontally and 20 vertically, that'll be 20*20*20 cubes, or 20³ or 8000 cubes.

mind you that we used a Cube for the prism, but the same will be true if we were to rearrange the cubes and make the prism taller or wider, same 8000 cubes will fill it in.

Answer:

first option

Translate seven left followed by mirror over y = 2

Step-by-step explanation:

The solution is Option A.

The translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along R = 2

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the triangle be represented as MNP

Now , the transformed triangle be STR

Now , the translation is given as

Step 1 :

The coordinates of triangle is MNP

M = M (-5 , 2 )

N = N ( - 8 , 5 )

P = P ( -2 , 4 )

Now , the translation of 7 units to the right will result in

M' = M' ( 2 , 2 )

N' = N' ( -1 , 5 )

P' = P' ( 5 , 4 )

Step 2 :

The coordinates of the translated triangle M'N'P' is

M' = M' ( 2 , 2 )

N' = N' ( -1 , 5 )

P' = P' ( 5 , 4 )

Now , on reflection of triangle M'N'P' by R = 2 , we get

S = S ( 2 , 2 )

T = T ( -1 , -1 )

R = R ( 5 , 0 )

Hence , the translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along the R = 2

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a.

The rate of the plane in still air is 700 km/h

Let V = rate of plane in still air and v = rate of wind.

When flying against the wind, an airplane travels 5220 kilometers in 9 hours, we have that since distance = speed × time

(V - v) × 9 = 5220

V - v = 5220/9

V - v = 580  (1)

Also, flying with the wind, the same plane travels 6560 kilometers in 8 hours, we have that since distance = speed × time

(V + v) × 8 = 6560

V + v = 6560/8

V + v = 820 (2)

Adding equations (1) and (2), we have

V - v = 580  (1)

+

V + v = 820 (2)

2V = 1400

V = 1400/2

V = 700 km/h

So, the rate of the plane in still air is 700 km/h.

b.

The rate of the wind is 120 km/h

Substituting V into (1), we have

V - v = 580  (1)

700 - v = 580  

v = 700 - 580

v = 120 km/h

So, the rate of the wind is 120 km/h

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Step-by-step explanation:

49² + 98 + 1 compared to a² + 2ab + b² means that

a = 49

b = 1

as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1

so, we have actuality

(49 + 1)² = 50² = 2500

Answer:

49² + 98 + 1 compared to a² + 2ab + b² means that

a = 49

b = 1

as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1

so, we have actuality

(49 + 1)² = 50² = 2500

Step-by-step explanation:

if we can assume the ball is being thrown from the ground upwards, then we can say that the inital height of it is 0, whilst its initial velocity is 80 ft/s, thus

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&80\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+80t+0\implies h(t)=-16t^2+80t[/tex]

Answer:

  E  840 cm

Step-by-step explanation:

For a 20×20 grid, there will be 21 strands in the vertical direction, and 21 in the horizontal direction. Each strand wil be 20 cm long. The total length is ...

  (20 cm)(2 × 21) = 840 cm

_____

Additional comment

In this case, we take "similar" to mean that the grid squares are 1 cm, and the wire encloses a larger array of those squares.

In geometry, the term "similar" would mean the larger grid is simply a scaled-up version of the smaller one, with squares that are 20/3 cm, instead of 1 cm. The length of wire required in that case is (4+4)(20 cm) = 160 cm = (20/3)×(24 cm).

Answer:

25cm^2

Step-by-step explanation:

A square has 4 equal sides so each side will be 20/4 = 5cm

Easily calculate the area by taking 5 x 5 = 25cm^2