A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
The area of the cross section that is perpendicular to the base and created by a plane that slices the prism through the diagonals of the base and its opposite face is
square inches.

Answer:

Step-by-step explanation:

sorry it should be the second one for the interval notations

Answer: A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

Step-by-step explanation:

They are not independent events because if they were P(A∣B) and P(A) would be equal.

Answer:

Let n be the number.

So, 3 times n is 3n.

And reduced by 5 is -5.

So the answer is 3n-5.

Let me know if this helps!

Answer:

Step-by-step explanation:

The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:

[tex]\tau_{man}>\tau_{box}[/tex] and

[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.

180r > 76.2 so

r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.

Answer:

false

Step-by-step explanation:

it would be in the first quadrant

Answer:

False

Step-by-step explanation:

The real part is positive and the imaginary part is positive which put is in the first quadrant

Answer:the answer is D

Step-by-step explanation:

The two expressions are not equivalent because one of the the rule of exponents is that when the bases of the exponents are the same (in this case, they're all x) then you can add the powers. Thus, the alternative expression should be x^(3+3+3).

Answer:

Center: (9,3)

Radius: 9 units

Step-by-step explanation:

[tex]x^{2} -y^{2} -18x-6y+9=0[/tex]

[tex]x^{2} -18x+81+y^{2} -6y+9=-9+81+9[/tex]

[tex](x-9)^{2} +(y-3)^{2} =81[/tex]

Center: (9,3)

[tex]r^{2} =81[/tex] → [tex]r=9[/tex]

Radius : 9 units

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Answer:I think its not similar

Step-by-step explanation:

they dnot look the same

a(2x + 3) = 10x + 15

For what value of a does 2x + 3 = 10x + 15?

2x + 3 = 5( 2x + 3)

a=5

Answer:

mean = 10

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{6+7+10+12+12+13}{6}[/tex]

        = [tex]\frac{60}{6}[/tex]

       = 10

Answer:

C = 16pi or ≈50.24 units

Step-by-step explanation:

(x − 9)^2 + (y − 3)^2 = 64

This equation is in the form

(x-h)^2 + (y-k)^2 = r^2

The radius is 8

The circumference is given by

C = 2*pi*r

C = 2*pi*8

C = 16 pi

Using 3.14 as an approximation for pi

C = 16(3.14)

C ≈50.24

The best value for each of the characteristics of the parabola are presented in the following table;

The table of best values of parabola characteristics

[tex]\begin{array}{lcccc}\mathbf{Characteristic&\mathbf{r}&\mathbf{ (\pi \cdot r)}&(2 \cdot \pi \cdot \mathbf{r})& ( \pi \cdot \mathbf{r^2})\\\\\mathbf{Base \ of \ parallelogram} & &\checkmark &&\\\\\mathbf{Height \ of \ parallelogram}& \checkmark &&&\\\\\mathbf{Area \ of \ parallelogram}&&&&\checkmark \end{array}}[/tex]

The process of obtaining the above values is shown as follows;

The given parameters are;

To justify the area of a circle, the argument Yvonne wants to use = The dissection argument

The shape to which the reassembled figure tends to approximate = A parallelogram

Description of the of the reassembled figure

The horizontal parallel sides of the parallelogram formed = The arcs of the circle

The other pair of parallel sides = The radius of the circle

The best values of the characteristics of the parallelogram given in the table are therefore found as follows;

(a) The base of the parallelogram = (1/2) the total sum of the arcs in a circle = (1/2) the circumference of the circle = π·r

∴ The base of the parallelogram = π·r

(b) The height of the parallelogram = The perpendicular distance from the tip of one of the sectors to the midpoint of the arc of the sector = The radius of the circle = r

∴ The height of the parallelogram = r

(c) The area of the parallelogram, A = The sum of the area of the sectors

A = (n × θ/360) × π·r²

Where;

n × θ = 360°

Therefore;

A = (n × θ/360) × π·r² = (360/360) × π·r² = π·r²

We have;

The area of the parallelogram, A = π·r²

The table showing the best value of each characteristics of the parallelogram is therefore presented as follows;

[tex]\begin{array}{lcccc}\mathbf{Characteristic&\mathbf{r}&\mathbf{ (\pi \cdot r)}&(2 \cdot \pi \cdot \mathbf{r})& ( \pi \cdot \mathbf{r^2})\\\\\mathbf{Base \ of \ parallelogram} & &\checkmark &&\\\\\mathbf{Height \ of \ parallelogram}& \checkmark &&&\\\\\mathbf{Area \ of \ parallelogram}&&&&\checkmark \end{array}}[/tex]

Learn more about geometric figures (circles, and parallelogram) here;

https://brainly.com/question/16663192

https://brainly.com/question/24054192

Answer:

V / ( pi r^2)  = h

Step-by-step explanation:

V = pi r^2 h

Divide each side by pi r^2

V / ( pi r^2)  = pi r^2 h / pi r^2

V / ( pi r^2)  = h

Answer:

68

Step-by-step explanation:

17x8 = 136

136/2 = 68

Answer:

1.53x10^8

Step-by-step explanation:

3.4 x 4.5 = 15.3 = 1.53x10

10^4 x 10^3 = 10^7

1.53x10x10^7 = 1.53x10^8

Step-by-step explanation:

The independent variable is the one that we change, and because we are changing the genre, the independent variable is the different types of music.

The variable we can change is known as an independent variable, and since we are changing the style, the independent variable is the various musical forms.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given Heather is researching the relationship between music and memory as a result. Students learn word lists while listening to various music styles, and she analyzes their memory after an hour, a day, and a week.

A variable that is independent is exactly what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to measure.

Thus, the variable we can change is known as an independent variable, and since we are changing the style, the independent variable is the various musical forms.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

Answer: Sum = 5000005, Difference = 4999995

Explanation:

Number = 35086941

Place value = 5000000

Face value = 5

Sum = 5000000 + 5

= 5000005

Difference = 5000000 - 5

= 4999995

Must click thanks and mark brainliest

Answer:

50°

Step-by-step explanation:

The total measurement of the sum of the interior angles is 360.

It is given that two of the angles has a measurement of 110. The third angle has a measurement of 90. Let the unknown measurement angle = x. Set the equation:

110 + 110 + 90 + x = 360

Combine like terms:

(110 + 110 + 90) + x = 360

310 + x = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 310 from both sides:

310 (-310) + x = 360 (-310)

x = 360 - 310

x = 50

50° is the measurement of the remaining angle.

Answer: 5x and -4x

Step-by-step explanation:

= 5x + (-4x)

= 5x -4x

= +x

= 5x × (-4x)

= -20x²

please click thanks and mark brainliest if you like :)

Answer: 16 meters in total, even tho it seems they didn’t move at all

Step-by-step explanation:

Answer:

16 meters

Step-by-step explanation:

Down 8 meters is a distance of 8m

Up 8 meters is a distance of 8m

8m+8m = 16 meters total

Answer:

40 degrees

Step-by-step explanation:

Supplementary angles are a pair of angles that add up to 180 degrees

Since ABD and DBC are supplementary, you can make the equation:

180=140+x

Simplify and you get x=40

[tex]\bf \large \implies \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]

[tex]\bf \large \implies \: \: x \: = \: 180 \degree - \: 140 \degree[/tex]

[tex]\bf \large \implies \: \: x \: = \: 40 \degree[/tex]

Step-by-step explanation:

1) 250 n(tnc)

2) 100

this your answer

Answer:

A 14.2 ounce bottle costs $3.98 is the better buy

Step-by-step explanation:

Find the price per ounce for each

A 14.2 ounce bottle costs $3.98

3.98 /14.2 =.28028169 = .28 per ounce

A 33.9 ounce bottle costs $9.98

9.98/33.9 =.29439528 = .29 per ounce

Answer:

5.7 meters

Step-by-step explanation:

Image a rectangle being cut diagonally in half, that would lead to two triangles. We can use the pythagorean theorem to find the missing side.

7 is the hypotenuse and 4 is the side length

4^2+x^2=7^2

16+x^2=49

sqrx=sqr(49-16)

x=sqr33

x=5.74

Rounded to the nearest tenth is 5.7

Answer:

Step-by-step explanation:

9) 9xt

10) r-10

0.7% percent is the answer