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3 years ago

the length of rectangle is 4cm more than its breadth and its perimeter is11cm more than its .The area of the rectangle

1 answer:

7 0

We can mark "breadth" as x so lenght will be x +4 so x+x+x+2+x+2 =11
Therefore 4x+4=11
4x=7
X=7/4
So length is x+4 =7/4 +4

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Part 6

Deffense [45]

Answer:

Part 1) The volume of each beam is $1,858.88\ ft^{3}$

Part 2) You can fill $26\ beams$

Part 3) Yes, the amount of sand left over is $1,669.12\ ft^{3}$

Step-by-step explanation:

Part 1) What is the total volume of each beam?

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$h=37\ ft$

$r=8/2=4\ ft$ ----> the radius is half the diameter

assume

$\pi=3.14$

substitute the values

$V=(3.14)(4)^{2} (37)$

$V=1,858.88\ ft^{3}$

Part 2) How many beams can you fill with this sand?

we know that

You are given a container with a 50,000 sq ft of sand for your beams

Note Is a 50,000 cubic foot of sand instead of 50,000 sq ft of sand

Divide the total volume of sand by the volume of each beam to obtain the number of beams

$50,000/1,858.88=26.9\ beams$

Round down

$26.9=26\ beams$

Part 3) Will you have any sand left over? If so how much?

yes

$50,000-26(1,858.88)=1,669.12\ ft^{3}$

7 0

3 years ago

Exercise 2.1.47 Prove that ifA^-1 exists and AX=0 then X =0.

stepan [7]

Answer:

Step-by-step explanation:

If $A^{-1}$ exist, then we have that $A^{-1}\cdot A=1$ .

Therefore, in the case that $AX=0$ , if we multiply both

terms in the equation by $A^{-1}$ , then we have

$A \cdot A^{-1}X=A^{-1}0$

and so the equation tells us that

$X=A\cdot A^{-1}X=A^{-1}0=0$ .

5 0

3 years ago

Rosie buys 1/2 of a watermelon at the farmer's market. She shares it equally with her two best friends. 1/2 divided by 3. How mu

Andre45 [30]

1/2 divide by 3 or 1/[2(3)] which will be equal to 1/6

7 0

4 years ago

Read 2 more answers

Which point could represent 5/3 ?

Ulleksa [173]

Answer

To represent -5/3 on number line. Solution:

Take a line X'X and a suitable point zero. On the right of 0 every 9th -s you indicate 1,2,3 etc. On the left of 0, every 9th -s you indicate -1 Or1', -2 or 2' , -3 or 3'.

8 0

4 years ago

Read 2 more answers

The amount of orange juice in a bottle is modeled by the equation y=128-8x, where y is the number of ounces of juice in the bott

Vanyuwa [196]

Answer:

There are 16 servings in the bottle.

Step-by-step explanation:

The equation for the amount of juice left in the bottle is:

y = 128 - 8*x

Where x is the number of servings of juice poured from the bottle.

The total number of servings that are in the bottle is the value of x such that we have y = 0 (because in that point, we do not have more juice left)

Then we need to solve:

y = 0 = 128 - 8*x

8*x = 128

now we can just divide both sides by 8

x = 128/8 = 16

There are 16 servings in the bottle.

6 0

3 years ago