The diagram shows a 5 cm x 5 cm x 5 cm cube.
A
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
5 cm
A
L
5 cm
B
5 cm
Pythagoras in 3D
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Answers

Answer 1

Answer:

8.7

Step-by-step explanation:


Related Questions

solve the equation by factoring: 6x-0.2x^2=0
Please ill give brainliest to the correct answer

Answers

Answer:

The solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

Step-by-step explanation:

Given the equation

[tex]6x-0.2x^2=0[/tex]

6x - 0.2x · x = 0

Factor out common term -x

-x (0.2x - 6) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x=0\quad \mathrm{or}\quad \:0.2x-6=0[/tex]

solving

[tex]0.2x-6=0[/tex]

Multiply both sides by 10

[tex]0.2x\cdot \:10-6\cdot \:10=0\cdot \:10[/tex]

Refine

[tex]2x-60=0[/tex]

Add 60 to  both sides

[tex]2x-60+60=0+60[/tex]

Simplify

[tex]2x=60[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{60}{2}[/tex]

Simplify

[tex]x=30[/tex]

Thus, the solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

A small box of muffins contains 2 blueberries, 1 cinnamon, and 3 chocolate. if a large batch of muffins contains 9 chocolate how many blue muffins are there?

PLS DO NOT JUST ADD THE ANSWER PLS ADD HOW U GOT IT TOO!!!

6th grade math

Answers

Answer: yo we have a problem

Step-by-step explanation:

im in 10th grade and i cant answer this problem 0.0

Find the value of x.

Answers

Answer:

B x=14

Step-by-step explanation:

fsjshfsrhzfhzhrsrhsrurhutjtsjtjttjstisyjsitsuy

Help please. Questions down below

You have to fill in the mathematical sign that would make 24.
Have to use these: ÷ × + -

Answers

Answer:

((36 × 2 ÷ 3) - 12) × 2 = 24

Step-by-step explanation:

(36 × 2 ÷ 3 ÷ 12) - 2 = 0

((36 × 2 ÷ 3) - 12) × 2 = 24

Emily estimated it would take her 40 minutes to run 3 miles. It actually took her 30 minutes. What was Emily's percent of error for the time she estimated to run 3 miles? A. 26.7% B. 25.0% C. 33.3% D. 10.0%

Answers

Answer:

C. 33.3%

Step-by-step explanation:

Estimated time = 40 minutes

Actual time = 30 minutes

Percent of error = (estimated time - actual time) / actual time × 100

= (40 minutes - 30 minutes) / 30 minutes × 100

= 10 minutes / 30 minutes × 100

= 0.3333 × 100

= 33.3%

Percent of error = 33.3%

C. 33.3%

There are 45 students who participate in tennis. Of these, 18 do an event other than running. What percent of the students do an event other than running? *

Answers

Answer:

garal 45 students to participate in tennis out of this it into an event other than running what percentage of the students do another event it is 45 - 18 and you will get a number and that answer you multiply it by hundred and divide 100 then it will give you an answer

Answer:

[tex]40\%[/tex]

[tex] \frac{18}{45} \times 100[/tex]

[tex] \frac{18}{9} \times 20[/tex]

[tex]2 \times 20[/tex]

[tex] = 40[/tex]

Step-by-step explanation:

[tex]hope \: it \: helps \: you \: [/tex]

Find the sum.(62+5−3)+(2−9)
I will mark brainiest!

Answers

Answer:

57

Step-by-step explanation:

(62+5-3)+(2-9)

(67-3)+(-7)

64-7

= 57

The area of this trapezoid is what?

Answers

Answer:

The area of this trapezoid is 8cm

Answer:

130

Step-by-step explanation:

first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,

112 + 9 + 9 = 130

PLZ HELP ILL GIVE 18 POINTS

Answers

Answer:

8 4/7

Step-by-step explanation:

the 4/7 is the fraction

If you cut away a triangle of area 59cm^2,the remaining area will be 85cm^2.Find the length of the side of the square before it was cut.?

Answers

Answer: side length = 12

Explanation

let x be the original area

Thus x - 59 = 85

=> x = 85 + 59
x = 144

Since we know the original shape is a square and Area of a square = side x side.

Find side length:

A = a^2

But A = 144

144 = a^2
12 = a

So the side of the square b4 it was cut is 12 cm

Please help me. Thank you​

Answers

Answer:

AE - 3, EB - 2, EC - 5

Step-by-step explanation:

Use the Pythagorean theorem and you'll find that these are the answers.

I'll answer problem 19

=======================================================

Part (a)

The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.

So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.

We'll use the pythagorean theorem to find x

a^2 + b^2 = c^2

(AE)^2 + (AD)^2 = (DE)^2

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 25-16

x^2 = 9

x = sqrt(9)

x = 3

Segment AE is 3 cm long

=======================================================

Part (b)

For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.

We found earlier that AE = 3 cm, so,

AE+EB = AB

3+EB = 5

EB = 5-3

EB = 2

Segment EB is 2 cm long

=======================================================

Part (c)

We know that AD = BC = 4 cm, because the opposite sides are the same length.

Earlier in part (b), we found that segment EB was 2 cm long.

Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.

a^2 + b^2 = c^2

(EB)^2 + (BC)^2 = (EC)^2

2^2 + 4^2 = y^2

4 + 16 = y^2

20 = y^2

y^2 = 20

y = sqrt(20)

y = sqrt(4*5)

y = sqrt(4)*sqrt(5)

y = 2*sqrt(5)

y = 4.4721359

As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.

As an approximate value, EC is roughly 4.4721359 cm long.

I would ask your teacher if you should use the exact or approximate value.

90 students are participating in a contest. There are twice as many girls as boys in this group. Max ranks fourteenth from the top, and there are 10 girls who rank higher than him. How many boys rank lower than Max?

Answers

Answer: 57 boys

Step-by-step explanation: Lets break it down right

14th from the top with 10 girls in front which means 3 boys are in front and since there are twice as many girls as boys there are 60 girls and 30 boys so 3 boys are ahead which leaves 57 boys below him

Solve the system of equations

-3x+y=-9
3x-y=9

Uh I think the answer is no solution???!? But I’m not sure, pls help.

Answers

Answer:

Infinitely Many Solutions

Step-by-step explanation:

-3x+y=-9

3x-y=9

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

0=0

It’s infinite solution because 0=0

Help as soon as possible, please.

Answers

Answer:

8 units

Step-by-step explanation:

Let the center of the circle be point O.

Then

EC + EO = 13EC = 13 - EO

The length of EO is the side of triangle OEB.

Use Pythagorean theorem:

EO² + EB² = OB²EO² + 12² = 13²EO² = 169 - 144EO² = 25EO = √25EO = 5

Find the value of  EC:

EC = 13 - 5 = 8

I need to get h5h+11−h in it's simplest form.

Answers

Answer:

5h+11

Step-by-step explanation:

You add the like terms so 1h+5h-1h= 5h. Then you just add 11 into the equation

160% of what number is 80% please help!

Answers

160% of 50 is the answer

The minute hand of a clock is 10 inches long . What is the linear speed in terms of pi of the tip of the minute hand in inches per minute?

Answers

Answer:

the speed is about 10 inches per minute

Step-by-step explanation:

Or you could say 1/6th Inch per second

The perimeter of a rectangle is 84cm . It's longest side is 29cm. State the length of the shortest side

Answers

Answer:

13cm

Step-by-step explanation:

29x2=58

84-58=26

26÷2=13

29+29 is 58
84-58 is 26
26/2 is 13.
Therefore shorter side is 13

I also need help rq for questions number 3

Answers

Answer:

12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so..  144 + 1225 = 1369. SO 12 would fit!

Help it’s timed tooo...

Answers

Answer:

3

Step-by-step explanation:

Same sides

It’s 3 all the sides are the same

A Starbucks manager has x pounds of coffee in stock. He sells 15 pounds and then

receives a shipment weighing 2y pounds. Which expression represents the weight of the

has?

Highlight

X-15-2y

O X+ 15 + 2y

O

x + 15 - 26

O

X - 15 + 2y

Answers

Answer: x - 15 + 2y

Step-by-step explanation:

A Starbucks manager has x pounds of coffee in stock and then sells 15 pounds. The amount of pounds of coffee left will be:

= x - 15

He then receives a shipment weighing 2y pounds. This means that the weight of the coffee he has will then be:

= x - 15 + 2y

1) Has zeros at -2 and 4, both being double roots

2) As x→∞, y→−∞

Answers

-(x+2)^2(x-4)^2

Not that if x= -2 and x=4 they will look like this in an equation: (x+2) and (x-4)
When (x+2) and (x-4) are set equal to zero and you solve for x, x will equal x= -2 and x=4

If they have double roots, they have a multiplicity of 2 (per root) meaning they will bounce off of the x-axis. Multiplicity can be found by using exponents.

The negative in front flips the function over the x-axis and holds true to the given limit.

What is the answer for this?

Answers

Step-by-step explanation:

im learning this too and I dont get it at all but use A app called Math. way

Answer:

3 =x 5 = y

Step-by-step explanation:

Using statistics shown you can infer that -2y + 12 = x

Evaluate the expression. 9.12-5.28÷3.52

Answer​

Answers

Answer:

=7.62

Step-by-step explanation:

Please help!


Mr. Bolden bought g guppies at a pet store for $3.00 each and paid with a $20 bill. Write an algebraic expression to represent how much change he will receive.

Answers

Answer:

C= 20-3g

Step-by-step explanation:

Given data

Mr. Bolden bought g guppies at a pet store for $3.00 each

cost = 3g

We are also given that the money paid is $20

Therefore let the change be c

The expression for his change is

[tex]C= 20-3g[/tex]

x + 7 = 12
i'm lost pls help me

Answers

Answer:

5

Step-by-step explanation:

12 - 7 = 5

x= 5

.....................................

Find each angle measure

Answers

Answer:

1=125

2=55

3=55

4=125

5=125

6=55

7=55

8=125

Step-by-step explanation:

Select whether each equation is a linear equation in standard form. Select Yes or No for each equation. ​

Answers

Answer:

yes

Step-by-step explanation:

Move 4x to the right to get y= -4x + 5. This is a linear equation because the graph of it is a straight line.

What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3

Answers

A

Working:
Tan(angle)=opposite/adjacent
Tan60 = x/7root3
x=7root3 x Tan60
Enter in calculator
x=21

A tank contains 3000 L of pure water. Brine that contains 15 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The concentration of salt after t minutes (in grams per liter) is C(t) = 15t 120 + t . As t → [infinity], what does the concentration approach? g/L

Answers

Answer:

15 g/L

Step-by-step explanation:

Since Brine is added to the tank containing 15g/L at a rate of 25 L/min, the rate at which the quantity of salt in the tank increases is 15 g/L × 25 L/min = 375 g/min. So, in t minutes, the mass of salt in the tank, m is 375 g/min × t min = 375t

Also, the volume of the tank increases by 25 L/min, in t minutes, its volume increases by 25 L/min × t min = 25t. So, the new volume, V is 3000 + 25t.

Since we know, concentration C(t) = m/V = 375t/(3000 + 25t)

dividing through by 25, we have

C(t) = 375t/25/(3000/25 + 25t/25)

C(t) = 15t/(120 + t)

To find the limit as t ⇒ ∞, we divide C(t) by t

C(t) = 15t/t/(120/t + 1)

C(t) = 15/(120/t + 1)

putting t = ∞, we have

C(∞) = 15/(120/∞ + 1)

C(∞) = 15/(0 + 1)

C(∞) = 15/1

C(∞) = 15 g/L

So, as t  t → [infinity], the concentration approaches 15 g/L

Other Questions
need help again plsssss Ill give you brainlest who can help me with this Write the equation of this line in y= mx + b form Refer to the Newsela article Dying of Hunger: What Is a Famine? What is the authors viewpoint in the article? The author is concerned with an accurate and factual description of famine so it will not be politicized. The author believes the best way to address the issue of starving populations is to hold governments responsible for famine. The author rejects the definition of famine because there are factors that prevent a true understanding of famine. The author is more focused on stopping suffering in war-torn countries than finding ways to relieve famine. Ansel Adams considered his photographs works of art and also used them to makepeople aware of environmental issues.TrueFalse Circle 20% of these lollipops there are 10 lollie pops What does Islam, Judaism and Christianity have in common ? A.) same prophets B.) same view on Jesus C.) similar beliefs of the after-life D.) all started in Mesopotamia What does MacNeil criticize about nightly news shows on television? A cylindrical can of tennis balls holds a stack of three tennis balls so that they touch the can at the top,bottom,and sides. The radius of each tennis ball is 1.25 inches. Find the volume inside the can that is not taken up by three tennis balls.round to the nearest tenths. ANSWER ALL 4 OF THEM!!! Find the area of the figure. The method for selecting judges that a group of lawyersand citizens making recommendations to the governor, the governorappointing the judge, and an eventual retention election" is called:A. Electoral selectionB. Legislative appointmentC. Merit selectionD. Gubernatorial selection PLS HELP !!! Dwight has a total of 55 nickels and quarters that total $8.75. How many of each coindoes he have? Find the length of the diagonal of a square whose sideis 10 cm identify the area of the figure rounded to the nearest tenth Read the excerpt from "African American Women in World War II."This was unheard of. The United States had never drafted women into the military. Yet the army still maintained the limit on African American nurses. The hypocrisy was obvious.Which best describes the rhetorical appeal used in this excerpt?an appeal to logic and reasonan appeal to the reader's emotionsan appeal to the author's authority Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all? what are the effector during the homeostasis of body temperature A. Honey, I'd shrunk the kidsC. Honey, I shrunk the kidsB. Honey, I'we shrunk the kidsD. Honey, I've shrunk the kids Which action is not an example of someone maintaining homeostasis?1. a woman breathing hard while jogging2. a man bleeding from a cut3. a girl sweating because it's hot outside4. a boy shivering in the cold