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3 years ago

(9+m)(-m+9) in standard form

Mathematics

1 answer:

BartSMP [9]3 years ago

3 0

-9m+81-m^2+9m = 81 - m^2 (final answer since -9m and 9m cancels each other out)

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A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decrea

hjlf

Answer:

1.75 cm

Step-by-step explanation:

We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.

Now, to increase the profit, the dimensions of the box by 'x' cm.

Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.

Further, it is given that the volume of the new box is 2,208 $cm^{3}$

As, Volume of the box = Length × Breadth × Height

i.e. 2208 = (25-x) × (14-x) × (10-x)

i.e. $2208 = (25-x) \times (140-24x-x^{2})$

i.e. $2208=x^{3}-x^{2}-740x+3500$

i.e. $x^{3}-x^{2}-740x+1292=0$

On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.

Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.

Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.

Hence, the dimensions were decreased by 1.75 cm.

3 0

3 years ago

A 100 ft. ladder rests on top of a hook and ladder truck with its base 11 feet from the ground

Advocard [28]

Answer:

Its 111ft. tall if thats what your asking.

Step-by-step explanation:

100+11=111

3 0

3 years ago

While constructing an equilateral triangle or a regular hexagon inscribed in a circle, you may have noticed that several smaller

Sauron [17]

Answer:

Using the transitive property of geometry, we proved that △PQR is an equilateral triangle.

Step-by-step explanation:

The diagram of the given scenario is in the attachment.

Here, PQ is the radius of circle Q

Also, PQ is the radius of circle P

Hence, circle-P and circle-Q have same radii.

Now, PQ=RQ as both are radii of circle Q

And PQ=PR, as both are radii of circle P

Hence as per transitive property, which states that, if any two angles, lines, or shapes are congruent to a third angle, line, or shape respectively, then the first two angles, lines, or shapes are also congruent to the third angle, line, or shape

PR=QR

Now, PQ = QR = PR

Hence, ∆PQR is equilateral.

For more explanation, refer the following link:

brainly.com/question/27884420

#SPJ10

3 0

2 years ago

1854times845 could someone help me

vivado [14]

Answer:

1,566,630

Step-by-step explanation:

1854*845=1,566,630

8 0

3 years ago

Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co

Karolina [17]

Hello There!

n - d = 0

5n+10d = 90

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

n-d = 0

n+2d = 18

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

Subtract and solve for "d":

3d = 18

d = 6 (# of dimes)

n = d = 6 (# of nickels)

8 0

4 years ago