Here is a cuboid.

All measurements are in centimetres.

x is an integer.

The total volume of the cuboid is less than
900 cm^3

Show that x < 5.​

Answer:

Their Ratio

Step-by-step explanation:

You switched the numbers 2 and 3 btw

[tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio

A ratio indicates how many times one number contains another.

Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.

When two variables are proportional, [tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio is constant.

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Answer:

I have used mathematics at the store when i am buying something.

Step-by-step explanation:

Answer:

Step-by-step explanation:

c =7

Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

[tex]\sqrt{17^2+7.6^2}[/tex]=c

c=18.6214

corrected to 1dp= 18.6 m

Answer:

3 quarters and 19 nickles

Step-by-step explanation:

.

Answer:

33d

Step-by-step explanation:

33 is the total fish in each tank

d represent the number of tanks

To find the total fish we multiple 33 and d

33 x d = total fish

so 33d is the correct expression

Answer:

5 groups

2 extra children

Step-by-step explanation:

The computation of a number of groups and number of extra children is shown below:

Given that

There is 27 children

And, this group would be divided into group 5

So,

As we know that 25 is easily divided by 5

So there are 5 groups

And, the extra children is

= 27 - 25

= 2 chidren

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years

Answer:

how can you ask perfectly...

Answer:

3

Step-by-step explanation:

To find the average add all these numbers together, then divide by how many numbers you have.

[tex]4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12[/tex]

[tex]\frac{12}{4} =3[/tex]

[tex]Answer: 3[/tex]

Answer:

2

Step-by-step explanation:

(6*2.5)/6.5 = 30/13

Answer:I think its B 30/13

Step-by-step explanation:

I used a calculator

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:

A,B,D

Step-by-step explanation:

it just has to equal -5 lol

Answer:

A,B,D

Step-by-step explanation:

Answer:

find the squares of both numbers

5²= 25

13²=169

minus the squares

169-25=144

find the square root of the answer above

✓144=12

the possibility of the third side is 12

Answer:

Y= 3b

Step-by-step explanation:

Answer:

the answer should be A) 12

Step-by-step explanation:

54 ÷ 3^2 × 2

54 ÷ (3 × 3) × 2

54 ÷ 9 × 2

6 × 2

12

Answer: a

Step-by-step explanation:

Tell me if it is correct

Answer:

2

Step-by-step explanation:

Answer:

363.0449

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the height.

To find a squared, add  13 squared plus 5 squared then find square root.

13.93 is about it.

Then do 13 squared plus 13.93 squared and find the square root.

363.0449

Answer:

Given :  A toy car is placed on the floor. Its movement details are given

To find : Distance covered by Car & graph to be plotted

Solution:

Start from rest

u = 0  at  t = 0

Constant acceleration for 3 sec reaching velocity 4 m/s

V = U +at

=> 4 = 0 +  a(3)

=>a = 4/3  m/s²

Distance here  S = ut + (1/2)at²

S = 0 + (1/2)(4/3)3²

=> S = 6 m

deceleration of 0.5 m/s² for 4 sec

=> v = 4  - (0.5)4

=> v = 2 m/s

Distance here   =  4(4)  - (1/2) (0.5)4²

= 16 - 4

= 12 m

Total Distance = 6 + 12 = 18 m

Total Distance traveled by toy Car = 18 m

Graph attached

Learn more:

Figure given below shows the graph of velocity v ofparticle moving ...

brainly.in/question/11151179

Figure given below shows the graph of velocity v ofparticle moving ...

brainly.in/question/10432386

The graph represents Jason's speed on a recent trip. For which time ...

Step-by-step explanation:

Answer:

z = 4.1

Step-by-step explanation:

(4.1 + 1.1)

(5.2)

4(5.2) = 20.8

Answer:

b = 5√3 (units)

Step-by-step explanation:

To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.

In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.

a^2+b^2 = c^2 (pythagorean therorm)

5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)

25+b^2 = 100 (square the numbers)

b^2 = 75 (subtract 25 from both sides)

b = √75

b = √25 * √3 (factor out√75)

b = 5 * √3 (find square root of√25)

b = 5√3

Hope I was able to help! Good Luck!

Answer:

7......do you need explanation?

Answer:

x= 1

y= -2

Step-by-step explanation:

equation (1): y= -3x+1

equation (2): y=x-3

solve the system of equations by substitution:

step1: sub ( x-3 ) for y in equation 1:

y = -3x+1

x-3 = -3x+1

step2: simplify the equation to get x:

(add 3 for both sides)

x = -3x+4

(add 3x for both sides)

4x = 4

(divide 4 from both sides)

x = 1

step3: sub the value of x (x=1) in equation 2:

y = x-3

y = 1-3

step4: solve the equation to get y:

y = -2

Answer:

35 c 36 d

Step-by-step explanation:

Answer:

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Step-by-step explanation:

So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:

[tex]y=10\sqrt[5]{x-2}[/tex]

Then, we switch all the y and x variables, like this:

[tex]x=10\sqrt[5]{y-2}[/tex]

Now, we solve for y to find the inverse function:

[tex]x=10\sqrt[5]{y-2}[/tex]

[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]

[tex](\frac{x}{10})^{5} =y-2[/tex]

[tex](\frac{x}{10})^{5} +2=y[/tex]

[tex]y=(\frac{x}{10})^{5} +2[/tex]

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Answer:

3x+5

Step-by-step explanation:

combine like terms, and get 3x+5