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The diagram shows a cylinder.
8.2 cm
10 cm
The cylinder has radius 8.2 cm and height 10 cm.
The cylinder is empty.
Pam pours 1.5 litres of water into the cylinder.
Work out the depth of the water in the cylinder.
Give your answer correct to 1 decimal place.

Step-by-step explanation:

The exact solutions are: x = 11 + √72 and x = 11 - √72

The approximate solutions are: x = 19.49 and x = 2.51

[tex]\\ \sf\longmapsto (x-11)^2=72[/tex]

[tex]\\ \sf\longmapsto x-11=\sqrt{72}[/tex]

[tex]\\ \sf\longmapsto x-11=\pm 8.48[/tex]

[tex]\\ \sf\longmapsto x=11-8.48\:or\:11+8.48[/tex]

[tex]\\ \sf\longmapsto x\approx 2.52\:or\:19.48(Approximate)[/tex]

[tex]\\ \sf\longmapsto x=3\:or\:19(Exact)[/tex]

Answer:

3/8

Step-by-step explanation:

Answer:

5:1

Step-by-step explanation:

5/6 won

1/6 lost

5:1=6

Answer:

5:1

Step-by-step explanation:

Total numbers of match = 6

No. of matches Peter wins = 5

Ratio of wins to lose = 5:(6-5) = 5:1

Please, don't write the answer as 1:5. Because, 5:1 and !:5 both are different so don't be confused.

Answer:

Step-by-step explanation:

We know from the property of 30°x60°x90° right triangle:

We see AC = 2*BC, therefore:

Correct choice is B

The ratio of angles is directly proportional to the ratio of sides

The ratio of sides here is 1:1/2:1

Now

[tex]\\ \sf\longmapsto 2x+x=90°[/tex]

[tex]\\ \sf\longmapsto 3x=90[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

Answer:5.3

Step-by-step explanation:

Why

Divide both sides by 8

4=8e ^-0.1308t

0.5=e^-0.1308t

Take log of both sides

In0.5=Ine^-0.1308t

Apply In e^x=x

In0.5=-0.1308

Divide both sides by -0.1308 to solve for t

t=5.3

Answer:

B. 0.36

Step-by-step explanation:

9/25 = x/100

9x100= 900

900 divided by 25 will be 36/100, so 0.36

Answer:

hhhhhhhhhhhhiiiiiiiii

Answer:

A' (-1,4)

B' (-4,3)

C' (-2,1)

Step-by-step explanation:

When reflecting a point across the y-axis, the x-coordinate changes signs, and the y-coordinate stays the same. The rule for a reflection across the y-axis is (x,y) -> (-x,y). For example, if we flip the coordinates (1,4) across the y-axis, new the coordinates are (-1,4).

Answer:

3 times

Step-by-step explanation:

25 times 3 is 75

This is what i think

Answer:

(25, 30) = 150 ,300 450

(15, 24) = 120 225 300

Step-by-step explanation:

Prime Factorization of 15 is:

3 x 5 => 3^1 x 5^1

Prime Factorization of 24 is:

2 x 2 x 2 x 3 => 2^3 x 3^1

Prime Factorization of 25 is:

5 x 5 => 5^2

Prime Factorization of 30 is:

2 x 3 x 5 => 2^1 x 3^1 x 5^1

Answer:

6

Step-by-step explanation:

x coordinate goes left and on 6 line

y coordinate goes up and on 1 line

(x, y)

(6, 1)

x coordinate is 6

Answer:

60°

Step-by-step explanation:

Connecting the mid points of the three sides of the triangle makes four more  triangles all similar and half the size of the original. Corresponding angles of similar triangles have the same measure.

well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).

Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a).  So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those.  Check the picture below.

Answer:

The answer is 7/20

Step-by-step explanation:

This is for k-12!!

Currently taking the quiz just want to help others:)

Answer:

The answer is indeed 7/20 !!

Step-by-step explanation:

For the k12 5.17 Quiz: Model with Multistep Equations  

Good luck on the rest of your quiz !!!

True, False, False, True, False, False

[tex] \bf \color{gold} \frac{2}{4} \div \frac{5}{7} = [/tex]

[tex] \tt\frac{2}{4} \times \frac{7}{5} = [/tex]

[tex] \tt \frac{14 \div 2}{20 \div 2} = [/tex]

[tex] \tt {\boxed{ \color{blue}{ {\frac{7}{10}}}}}[/tex]

THE RESULT IS 7/10

Answer:

The solution is:

Step-by-step explanation:

2/4÷5/7

= 2/4×7/5

= 1/2×7/5

= 7/10

2/4×7/5

= 1/2×7/5

= 7/10

Answer:

[tex](A) - \sqrt2[/tex]

Step-by-step explanation:

Let's find the velocity and acceleration first:

[tex]v(t) = \dot x(t) = cos\ t -( -sin \ t) = cos \ t + sin \ t\\a(t) = \ddot x(t) = -sin\ t + cos\ t = cos\ t - sin t[/tex]

(you can also rewrite the position as [tex]\sqrt 2 sin(t-\frac\pi4)[/tex] and determine velocity and acceleration from there, but I do prefer handling it as a sum for the sake of the derivatives)

At this point, the first time when the velocity is 0 is given by

[tex]cos\ t + sin\ t = 0 \rightarrow cos\ t = - sin t \rightarrow tan\ t = -1 \\t = \frac34 \pi = 2.36s[/tex]

At this point the acceleration is (let's use the first value of t for the sake of our sanity!)

[tex]cos (\frac34 \pi) - sin \frac 34 pi = -\frac1{\sqrt2} -\frac1{\sqrt2} = \sqrt 2 = -1.41[/tex]

Answer:

Step-by-step explanation:

(a+ b) ² = a² + b² + 2ab

Answer:

1) first & last option

2) x=10

3) x=15

4) acute, acute, obtuse. right

5)

Step-by-step explanation:

(8)^2+(6)^2=(x)^2

64+36=x^2

square root of 100= square root of x^2

x= 10

[tex]4^4(4^7)4\implies 4^4\cdot 4^7\cdot 4^1\implies 4^{4+7+1}\implies 4^{12}[/tex]

Answer:

real answer 4^-2

Step-by-step explanation:

just did on edge

Answer:

$21.98

Step-by-step explanation:

45.50 * .20 = 9.1

32.20 * .40 = 12.88

12.88 + 9.1 = 21.98

Answer:

3.25?

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

He now earns:

450/40 = 11.25 dollars per hour.

So he gets 11.25 - 8

= 3.25 dollars more.

Answer:

mean = 93

mode(s) = 90 and 94

median = 93

Step-by-step explanation:

[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]

[tex]\sf{mean = \frac{744}{8} }[/tex]

[tex]\bf{mean = 93}[/tex]

.

mode(s) = 90 and 94

.

sort from smallest

90, 90, 91, 92, 94, 94, 95, 98

median :

[tex]\sf{median = \frac{92 + 94}{2} }[/tex]

[tex]\sf{median = \frac{186}{2} }[/tex]

[tex]\bf{median = 93}[/tex]

Answer:

There were 7515 more ticket sold on Sunday than on Friday.

Answer: There were 21915 sold on Sunday than on Friday.

Answer:

A) (3.5, 0.5)

Step-by-step explanation:

The small horizontal line represents that that digit is repeated to the right of the decimal point ad infinitum. Example would be the decimal equivalent of 1/9 = 0.11111111111... or 0.1 overbar

so 3.6 overbar  would be 3.6666666... or 3⅔

and 4.3 overbar would be 4.3333333... or 4⅓

With AB being 3 times longer than BC, the total distance from A to C is 4 units and AB is 3/4 of that distance.

The x value changes -2 units from 5 to 3.

The x value of B is -2(3/4) = - 1.5 from 5 or 3.5

The y value changes -6 units from A to C

The y value of B is -6(3/4) = -4.5  from 5 or 0.5

B = (3.5, 0.5)

Step-by-step explanation:

All angles of the ∆ are same. So it's a equilateral ∆ . So all sides will also be equal .

16 + y = 46

y = 46 -16 = 30

And ,

60 + x + (180-80) = 180

-20 +x = 0

x = 0 +20

x = 20°

Answer:

154

Step-by-step explanation:

use the bus stop method so you divide each number separately, starting from the left.

9 divided by 6=1 with a remainder of 3 because 1x6=6 and 9-6=3. Then you move that 3 over to the next number, the 2, to make it 32.

32 divided by 6=5 with a remainder of 2 because 5 x 6=30 and 32-30=2. Then you move that 2 over to the next number, the 4, to make it 24.

24 divided by 6 is 4.

So if you put all of those numbers together, it makes 154.

Answer:

the correct answer is $74,560 but since that's not declared go with 73300

Answer:

2+x=4

x = 4 - 2

x = 2

Step-by-step explanation:

........