The breadth of a rectangle is 3cm less than the length. If its area is 88cm2
, find

its breadth.

Answer:

[tex]763 ft^3[/tex] or 763 cubic feet.

Step-by-step explanation:

The tank is cylindrical and the volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius and h = height

The radius, r, of the tank is 4.5 ft and the height, h, of the tank is 12 ft.

Therefore, the volume of the cylindrical water tank is:

[tex]V = \pi * 4.5^2 * 12\\V = 763.407 ft^3[/tex]

Approximating to whole number, the volume of the tank is [tex]763 ft^3[/tex] or 763 cubic feet.

Answer:

logx+log(x +1)= log6

Step-by-step explanation:

Please find attached photograph for your answer.

Step-by-step explanation:

Both hypothesis are 3

so,

sin 45 = h/3

h= 3 sin 45

[tex]h= \: \frac{3}{ \sqrt{2} } [/tex]

x + y = 198

y = 1.20 x

x + 1.2 x = 198

2.2x = 198

x = 198/2.2 = 90

y = 198 - 90 = 108

Answer: 90 and 108

Answer:

108 and 90

Step-by-step explanation:

let the two numbers be x and y

from the question let y be the greater number

therefore, y = 20%x +x

y=20/100x + x

y=(20x+100x)/100

y=120x/100

y=1.2x

from the question

x+y=198______(1)

x+1.2x=198

2.2x=198

x=198/2.2

x=90

from (1)

x+y=198

90+y=198

y=108

x=90 y=108

Answer:

A farmer has 180 eggs.

He stores them in trays.

Each tray holds 30 eggs.

Then he would need 180/30 = 6 trays.

Hope this helps!

:)

Answer:

x > - 5

Step-by-step explanation:

[tex]4 - x < 9 \\ - x < 9 - 4 \\ - x < 5 \\ \red{ \boxed{ \bold{ x > - 5}}}[/tex]

The inequality 4 - x < 9 is x > -5.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

4 - x < 9

Adding x on both sides.

4 < 9 + x

Subtracting 9 on both sides.

4 - 9 < x

-5 < x

x > -5

Thus,

x is greater than -5.

Learn more about inequalities here:

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Answer:

since the ratio of both volumes is approximately 4, then we can say Nicholas is correct

Step-by-step explanation:

Firstly, what we need to do is to calculate the volume of both.

For the cylindrical bucket, the volume can be calculated as

pi * r^2 * h

where r is 6 inches and h is 15 inches

The volume is thus

pi * 6^2 * 15 = 540pi inches*3

For the spherical storage, the volume can be calculated using the formula

V = 4/3 * pi * r^3

with r = d/2 = 24/2 = 12 inches

The volume is thus;

V = 4/3 * pi * 12^3 = 2,304 pi inches^3

Now, to confirm the validity of Nicholas’ claims, we shall divide the volume of the spherical storage by the volume of the cylindrical container.

Mathematically that would be 2,304pi/540 pi = 4.267 which is approximately 4 times

Answer:

3/8

Step-by-step explanation:

The spinner A has 4 possible values:

1, 2, 3, 4

The spinner B has 4 possible values:

2, 3, 4, 5

The possible pairs we can have are:

(1,2), (1,3), (1,4), (1,5),

(2,2), (2,3), (2,4), (2,5),

(3,2), (3,3), (3,4), (3,5),

(4,2), (4,3), (4,4), (4,5).

The sum of these pair of values are:

3, 4, 5, 6,

4, 5, 6, 7,

5, 6, 7, 8,

6, 7, 8, 9.

So we have 6 values that are 5 or less, in a total of 16 values, so the probability of the sum being 5 or less is P = 6/16 = 3/8

Answer:

t=4 hope this helps you out

Answer:T=4

Step-by-step explanation:

Answer:

x = - 1

Step-by-step explanation:

7 (4x + 1) – 3x = 5x – 13

28x + 7 - 3x = 5x - 13

25x + 7 = 5x - 13

25x - 5x = -13 - 7

20x = -20

x = -20/20

x = -1

Answer: x = -1

Step-by-step explanation:

[tex]7 (4x + 1) -3x = 5x-13[/tex]

Distribute 7.

[tex]28x+7-3x=5x-13[/tex]

Subtract 7.

[tex]28x-3x=5x-13-7[/tex]

Subtract 5x

[tex]28x-3x-5x=-13-7[/tex]

Combine like terms;

[tex]20x=-20[/tex]

Divide by 20.

[tex]x=\frac{-20}{20}\\ x=-1[/tex]

Answer:

4104 and 13832

Step-by-step explanation:

This type of number is known as the Hardy-Ramanujan Number.

We have that 1729 is the first number where this is found, but there are others. The second number that meets this is:

4104

2 ^ 3 + 16 ^ 3 = 9 ^ 3 + 15 ^ 3

And we also have:

13832

18 ^ 3 + 20 ^ 3 = 2 ^ 3 + 24 ^ 3

That is to say, the numbers 4104 and 13832 comply with this property

Answer:

10y + 20 -11 =139

10y = 130

y = 130 / 10

y = 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(2y + 4) - 11 = 139

5*2y + 5*4 -11 = 139

10y + 20 -11 = 139

10y + 9 = 139         {subtract 9 form both sides}

10y + 9- 9 = 139 -9

10y = 130 {Divide both sides by 10}

10y/10 = 130/10

y = 13

Answer:

degrees ⋅(π radians /180 degrees )

the (π180) means that for every π radians you go around the unit circle, you've gone 180 degrees.

315 degrees ⋅(π radians /180 degrees )

315 and 180 are both divisible by 45 , so.

74⋅π radians = 74π radians.

Answer:obviously seasons are caused by the earths tilted axiz

Step-by-step explanation:

Answer:

Seasons are caused by the Earth's tilted axis.

Step-by-step explanation:

The Short Answer:

Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.

Answer:

[tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]

[tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]

[tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]

Step-by-step explanation:

Please refer to the attached figure in which [tex]\triangle ABC[/tex] is shown with sides a, b and c.

It is given a right angled triangle with sides a, b and c.  

And c is the longest side.

So, it is clear that 'c' is the hypotenuse of the triangle because hypotenuse is the longest side of a right angled triangle.

No condition is given about the base and height.

So, let 'a' be the height and 'b' be the base of triangle as shown in the attached figure in the answer area.

We know that, pythagoras' theorem holds true in every right angled triangle.

According to pythagoras' theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}\\\Rightarrow c^{2} = a^{2} + b^{2} .......... (1)[/tex]

So, Answer [tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]

Using equation(1):

Answer [tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]

Also,  

Answer [tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]

Answer:

[tex]y=2x+5[/tex]

Step-by-step explanation:

[tex](5,0)[/tex]

Since the y-axis is cross on 5, that's the slope.

y=mx+5

To find x, let's use the formula;

[tex]m=\frac{rise}{run}[/tex]

[tex]m=\frac{6}{3}=2[/tex]

Answer:

8 units.

Step-by-step explanation:

To find the y-intercept for the first equation: f(x)=2x²-4x+6, we can simply plug in '0' as 'x' to represent the y-intercept:

f(x)= 2(0)²-4(0)+6 ---> f(x)= 6

Therefore, the y-intercept of the first equation is (0,6).

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

In the table, we can see that when x=0, y=-2. This is our y-intercept for the table.

When we find the difference between the two, we get:

6-(-2)= 8.

Answer:

there is no division symbol on laptops, but you could either search it up and copy and paste it or write it as a fraction

Answer:

I believe you can do / for division, the same symbol for fractions, on most, however, there is another way.

I typed Alt-246. Press and hold the Alt key while you type 2 4 6 on the numeric keypad, not the numbers across the top of the keyboard. You need to have Num-lock on.

÷

Another useful one is Alt-241, which is the plus or minus symbol: ±

These are extended ASCII codes. They work on a PC. There is something similar on a Mac, but I don't know what it is. You could look it up on the internet.

Answer:

0.37 goldfish per cubic feet

Step-by-step explanation:

Density has the formula = number/volume

Density = 19/52 = 0.36538 which is rounded to 0.37

Answer:

0.37 goldfish / cu ft. (to the nearest hundredth).

Step-by-step explanation:

Density = number of goldfish / volume of the tank.

That is  19 / 52

= 0.37 goldfish / cu ft.

Answer:

-1-x

Step-by-step explanation:

i think im not sure

Answer:

x = 2

y = 0

Step-by-step explanation:

To solve by elimination, you have to first change the equations so that you can cancel out one variable.

Change the second one.

4y = 24x - 48

Subtract them:

7x = -24x + 62

31x = 62

x = 2

y = 0

7x+4y=14

y=6x-12

Reorder:

7x+4y=14

-6x+y=-12

Multiply bottom one by 4:

7x+4y=14

4(-6x+y=-12)

=>

7x+4y=14

-24x+4y=-48

Combine/Eliminate:

-17x=-34

/-17    /-17

x=2

Plug x back in to one of the equations:

y=6(2)-12=12-12=0

Answer:

x=2, y=0

Answer:

will you go out with me

Step-by-step explanation:

i will make pumpkin pie

Answer:

4 m squared minus 20 m n + 25 n squared; a perfect square trinomial

Step-by-step explanation:

Given expression,

(negative 2 m + 5 n) squared

By using (a+b)² = a² + 2ab + b²,

∵ A trinomial which is the square of a binomial is called a perfect square trinomial.

Thus,  is a perfect square trinomial.

Answer:

First quartile: the lowest 25% of numbers.

Step-by-step explanation:

you're welcome.

Answer & Step-by-step explanation:

If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.

Apples:

120 × 590 = 70800

Pears:

90 × 590 = 53100

Now, we add 70800 to 53100.

70800 + 53100 = 123900

So, the orchard produces 123900 pounds of fruit in one year.

The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.

Volume of cuboid = (length x width x height)

= 24 x 8 x 9

= 1,728 cubic inches

Thus, the volume of the cuboid is 1,728 cubic inches.

Learn more about cuboid;

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Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

Answer:

its actually 3/8 trust me

Step-by-step explanation:

Answer:

158 degrees

Step-by-step explanation:

Step 1:

Let Angle CDE =y

Since Angle BCD = 2 X angle CDE

Angle BCD = 2y

Step 2

Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.

By these properties of Isosceles Trapezoids

Therefore:

[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]

123+2y+y=360

3y=360-123

3y=237

y=79 degrees

Therefore:

[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]

Answer:

The answer is -9 (If your looking for x)

Step-by-step explanation: I would suggest using the app Photomap for this kind of stuff. You take a picture of an equation and it gives you a step by step explanation and the answer. Glad I could help!