What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm

Answer:

9

Step-by-step explanation:

x^2+6x

Take the coefficient of x

6

Divide by 2

6/2 =3

Square that

3^2 =9

Add that as the constant term

Answer:

10

Step-by-step explanation:

Distance = √(x2-x1)² + (y2-y1)²

d = √(10-4)² + (13-5)²

d = √6² + 8²

d = √36+364

d = √100

d = 10

[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5

because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]

The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].

Given:

2x + 5

To find:

The expression is a difference of squares with a factor of 2x + 5.

Step 1

The difference of squares formula is given by

[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]

We have been given that one factor is 2x + 5.

Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]

Step 2

It means that the other factor must be (a - b) = (2x - 5)

Hence, in order to expression, we can multiply the factors.

(2x + 5)(2x - 5)

Step 3

Using the difference of squares formula

(2x + 5)(2x - 5)

[tex]$&=(2 x)^{2}-5^{2} \\[/tex]

[tex]$&4 x^{2}-25[/tex]

The required expression exists [tex]$4 x^{2}-25$[/tex].

Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].

To learn more about difference of squares formula

https://brainly.com/question/1973152

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Answer:

The width is (r+1)

Step-by-step explanation:

2r^2+r-1

(2r-1)(r+1)

Answer:

Circumference = 2 x 3.14 x radius = 27 (in)

=> radius = 27/(2 x 3.14) = 4.3 (in)

=> Area = 3.14 x radius^2 = 3.14 x 4.3^2 = 58.1 (in2)

Answer:

58 inches^2

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi *radius^{2}[/tex]

To work out the area of this circle you would first need to divide the circumference of 27 by pi, this gives you 8.594. This is because the formula for the circumference is: [tex]\pi *diameter\\[/tex] and so by dividing the circumference by pi we are isolating the value of the diameter.

Then now that we have worked out the diameter we can now begin to work out the area, however in order to work out the area we must work out the radius. You can do this by dividing the diameter by 2, which gives you 4.297.

Then to work out the area you would multiply pi by the radius of 4.297 squared, this gives you 58.01 [tex]inches^{2}[/tex].

The next step is to round it to the nearest whole number, this gives you 58.

1) Divide 27 by pi.

[tex]27/\pi =8.594[/tex]

2) Divide 8.594 by 2.

[tex]8.594/2=4.297[/tex]

3) Multiply pi by 4.297 squared.

[tex]\pi *4.297^{2} =58.01[/tex]

4) Round to the nearest whole number.

58 square inches

Step-by-step explanation:

The pig pen is a rectangle. To find the area of a rectangle the formula is A=bh. Since you don’t have the height you would have to A ÷ b=h. So 780÷26=30 feet.

The width is 30 feet.

Answer:

[tex]267.95 cm^3[/tex]

Step-by-step explanation:

We need to first find the radius of the sphere.

The surface area of a sphere is given as:

[tex]A = 4\pi r^2[/tex]

where r is the radius

Therefore:

[tex]200.96 = 4 * 3.14 * r^2\\\\=> r^2 = 200.96 / 12.56\\\\r^2 = 16\\\\r = \sqrt{16} \\\\r = 4cm[/tex]

The radius of the sphere is 4 cm.

The volume of a sphere is given as:

[tex]V = \frac{4}{3} \pi r^3[/tex]

Therefore, the volume of the sphere of radius 4 cm is;

[tex]V = \frac{4}{3} * 3.14 * 4^3\\\\V = 267.95 cm^3[/tex]

The volume of the sphere is [tex]267.95 cm^3[/tex]

Answer:

C: 267.95 cm3

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

8--7=15

15/3 = 5

8-5=3

ordered pair at x=3 is (3,3)

Answer: u have to cross out 3x and change into a positive and u try to find the other side of da equation. I hope dis helps :3

Step-by-step explanation:

Answer:triangular prism I think

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

Answer:

Look at the attachment

Answer:

The formula to find a circle's area π (radius)2 usually expressed as π⋅r2 where r is the radius of a circle. The area of a circle is all the space inside a circle's circumference.

Step-by-step explanation:

Answer:

$11

Step-by-step explanation:

55/10=5.5

5.5*2=11

Answer:

11

Step-by-step explanation:

Because to get the percent you have to times your price by the decimal of 20 to get the discount.

Answer:

Any number over 66%, but less than (or equal to) 100%

Step-by-step explanation:

The probability of rain on wednesday is 66.6666% and if it is more likely to rain on thursday, thursday would have to be any number over 66.666%. The probability also has to stay below or equal to 100%.

Answer:

Hamburgers and pizza are preferred almost equally.

Step-by-step explanation:

Both numbers are very close to each other

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Answer:

For the first one it is 135 (The second option)

For the second one it is 128 ( The first option)

Step-by-step explanation:

this is correct on edg!

Answer:

circumference is diameter x pi

radius + radius = diameter

11+11=22

22 x pi = 69.11503837897545

If you just use 3.14

3.14 x 22 = 69.08

Step-by-step explanation:

Answer:

€ 231.88

Step-by-step explanation:

The total amount Tu's family paid for the 10 nights without the coupon = 200 × 10 = € 2000

With a Tu's mum's coupon of 6.5 % off the total room charges, the amount off = 6.5/100 × 2000 = € 130

The total amount Tu's family paid for the 10 nights with the coupon = € 2000 - € 130 = € 1870

The total room tax = 12.4 % × € 1870 = € 231.88

Answer:5.03

Step-by-step explanation:

Answer:

It will take 1.25 seconds to reach the ground.

Step-by-step explanation:

The equation of the containers pathway can be modeled by the equation given below :

[tex]h=-16t^2+25[/tex]

t is time in seconds

It is required to find the time taken by the container to reach the ground. When it reached ground, its height is equal to 0 such that,

[tex]h=0\\\\-16t^2+25=0[/tex]

[tex]-16t^2=25\\\\t=\sqrt{\dfrac{25}{16}} \\\\t=1.25\ s[/tex]

So, it will take 1.25 seconds to reach the ground.

Answer:

The floor, in square feet, you need to tile is [tex]27ft^{2}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes.

To solve this problem we need to calculate the areas of the sink and the bathtub and subtract it from the the area of the the bathroom, the result is the amount of space you need to tile

Step one

Area of sink

[tex]area= length * width\\ area= 3* 2 = 6 ft^{2}[/tex]

Area of bathtub

[tex]area= length * width \\area= 5*3\\area= 15ft^{2} \\[/tex]

Area of bathroom

[tex]area= length* width\\ area = 8* 6\\area=48ft^{2}[/tex]

Step two

To calculate the area we need to tile

let us subtract the areas of the bathtub and the sink from the bathroom we have

[tex]= 48-15-6\\=27ft^{2}[/tex]

Answer:

The formula would be a squared + b squared = c squared

Step-by-step explanation:

The a and b would be the legs of the triangle (the two shorter sides). The c would be the hypotenuse (The longest side). You would need to plug in the numbers that you have to solve for the missing one.

Answer:

Hello!

You have to find the probabilities of these happening

To pick Mike the first time is a 1 /4 chance

To pick Tom after Mike is a 1 / 3 chance since you picked mike

To pick Chris after Tom is a 1 / 2 chance since there are only two friends left

To find the probability of these happening in a row you multiply them

1/4 * 1/3 * 1/2 = 1/24

The answer is 1/24

Hope this helps!

-Brinks

Answer:

1/4

Step-by-step explanation:

A bag contains a total of 16 marbles

Red marbles = 8

Blue marbles = 8

The question says you pick randomly one marble and you return before picking another marble , which means, there is replacement.

Probability of picking the first red marble = 8/16

Probability of picking the second red marble = 8/16

Probability that both the first and second marble is red = 8/16 × 8/16

= 64/256 = 1/4

Therefore, the probability that both the first and second marbles are red = 1/4

Answer:

Maya is correct.

Step-by-step explanation:

Khan Academy gave me the answer.

Answer:

3600 bacterias

Step-by-step explanation:

From P = P'e^(-kt), where

P = final population

P' = initial population

k = decay constant

t = time in hrs

Substituting we have

200 = 170000 x e^(-42k)

1/850 = e^(-42k)

We take natural log (Ln) of both side

Ln (1/850) = Ln (e^(-42k))

-6.745 = -42k

k = 0.16059.

For amount remaining after 24 hrs we find P

P = 170000 x e^(-0.16059x24)

P = 170000 x e^-3.85416

P = 170000 x 0.02119 = 3602.3

Approximately 3600 bacterias.

Answer:

X= -2 Y=6

Step-by-step explanation:

Answer:

x= -2 y=6

Step-by-step explanation:

-2+6=4

6=-3 x -2

Answer:

[tex]2(4x-1)[/tex]

Step-by-step explanation:

you divide by 2 and simplify. idk how else to explain it....

Answer:

2(4x-1)

Step-by-step explanation:

Factor out a 2